IAOe?IIAEUeIA AEAAeAI?ss IAOE OE?A?IE
IAOEIAI-OAOIIEIA?*IEE EIIOeA?I “?INOEOOO IIIIE?ENOAE?A”
?INOEOOO IIIIE?ENOAE?A
Aaneeaanueea THe?y Aieiaeeie??aia
OAeE 530.145
OI*II ?ICA’ssCOAAI? EAAIOIA? IIOAIOe?AEUeI? IIAeAE?
NI?IIAIAI OA NIE?OIIIIAI IIOIAeAEAIIss
01.04.02 – Oai?aoe/ia o?ceea
A A O I ? A O A ? A O
aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy
eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe
Oa?e?a – 1998
Aeena?oaoe?y ? ?oeiienii.
?iaioa aeeiiaia o Oa?e?anueeiio aea?aeaaiiio oi?aa?neoao?.
Iaoeiaee ea??aiee: aeieoi? o?c.-iao. iaoe, i?ioani?
Oeueyiia Aieiaeeie?
Aieiaeeie?iae/, i?ioani? eaoaae?e oai?aoe/ii?
o?ceee Oa?e?anueeiai aea?aeaaiiai oi?aa?neoaoo.
Io?oe?ei? iiiiaioe: /eai-ei?aniiiaeaio IAI Oe?a?ie,
aeieoi? o?ceei-iaoaiaoe/ieo
iaoe,
i?ioani? Neueicia A?oae?e
Aaeaioeiiae/,
caa. a?aeae?eii ?inoeoooo
oai?aoe/ii? o?ceee
IIOe “Oa?e?anueeee
o?ceei-oaoi?/iee
?inoeooo”;
aeieoi? o?c.-iao. iaoe ,
noa?oee iaoeiaee
ni?a?ia?oiee Caya?i
Aiae??e Aiaoie?eiae/,
i?ia?aeiee iaoeiaee
ni?a?ia?oiee O?ceei-
oaoi?/iiai ?inoeoooo
iecueeeo oaiia?aoo? IAI
Oe?a?ie.
I?ia?aeia onoaiiaa: ?inoeooo ?aae?io?ceee ? aeaeo?ii?ee ?i. I. ss.
Oneeiaa IAI Oe?a?ie (i. Oa?e?a), a?aeae?e oai??? oaa?aeiai
o?ea.
Caoeno a?aeaoaeaoueny ” 7 eeiiy 1999 ?. i 14-00 aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae 64. 169. 01 a ?inoeooo?
iiiie?enoae?a IOE “?inoeooo iiiie?enoae?a” IAI Oe?a?ie (310001,
Oa?e?a, i?iniaeo Eai?ia, 60).
C aeena?oaoe??th iiaeia iciaeiieoeny a a?ae?ioaoe? ?inoeoooo
iiiie?enoae?a IOE “?inoeooo iiiie?enoae?a” IAI Oe?a?ie.
Aaoi?aoa?ao ?ic?neaii ” 2 ” /a?aiy 1999 ?.
A/aiee nae?aoa? niaoe?ae?ciaaii? a/aii? ?aaee,
eaiaeeaeao oaoi?/ieo iaoe
Ao?iuaiei E. A
CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE
Aeooaeuei?noue oaie oa nooi?iue aeine?aeaeaiiy oaiaoeee aeena?oaoe??.
I?iaeaia oi/ieo ?ica’yce?a ??aiyiiy O?aae?iaa?a (?O) aeey noaoe?iia?ieo
noai?a /anoeiee a iioaioe?aeueiiio iie? iino?eii i?eaa?oa? oaaao
niaoe?ae?no?a. Oi/ii ?ica’ycoaai? caaea/? ? iniiaith ?ethno?aoe?e oai???
noaoe?iia?ieo noai?a o eaaioia?e iaoai?oe? [1]. E??i oiai, aiie
ooai?ththoue ooiaeaiaio aeey iinoaiiaee iiaeo caaea/, aaaeeea? ye aaca
iaaeeaeaieo iaoiae?a. Acaaae?, iiiaeeia oaeeo ?ica’yce?a ooai?th?
aaaeeeaee oiiae eaaioiai? iaoai?ee, yeee aeei?enoiao?oueny i?e aea/aii?
neeaaeieo yaeu oa ia?aa??oe? iiaeo oai??e, a oaeiae ia? naiino?eia
cia/aiiy.
?icaeyioo? o aeai?e ?iaio? aeaea?aea oi/ieo ?ica’yce?a – ni?iiaee oa
nie?oiiiee – aaciina?aaeiuei ca’ycai? c eiie?aoieie o?ce/ieie caaea/aie.
Aea/aiiy ?o, oaeei /eiii, ei?enii ye aeey eaaioiai? iaoai?ee –
aeyaey?oueny oe?ea n?i’y iioaioe?ae?a, aeey yeeo ?O ia? oi/i? ?ica’ycee,
– oae ? aeey aeine?aeaeaiiy o?ce/ieo aeanoeainoae oeeo nenoai.
Ieoaiiy i?i oi/i? ?ica’ycee ?O aeeeeea? oe?eaa?noue aeine?aeiee?a aaea
aeaaii. Oi/ii ?ica’ycoaai? iiaeae? iioaioe?ae?a ?O c i?inoeie yaieie
ae?acaie aeey ??ai?a aia?a?? oa oaeeueiaeo ooieoe?e noaoe?iia?ieo
noai?a aeia?a a?aeii? – oea aa?iii?/iee inoeeeyoi?, eoeii?anueea
iiea, iioaioe?aee Ii?na, Aeea?oa, Iaoey-Oaeea?a, iane?i/aiia
i?yiieooia yia, aeaeueoa-yia [1].
Iia? eeane oi/ieo ?ica’yce?a aoee ciaeaeai? o ca’yceo c ?ic?iaeith
iiaeo iaoiae?a o oai??? ni?iiaeo nenoai [3]. Aeey ni?iiaeo nenoai o
caeaaeiino? a?ae aeai?o ni?iiaiai ia?aiao?a, cia/aiue iaai?oiiai iiey
? eiinoaio iaai?oii? ai?cio?ii?? ?niothoue ??ciiiai?oi? i?io?e?
aoaeoeaieo iioaioe?ae?a oa ? i?ino? oi?ioee aeey aia?aaoe/iiai niaeo?a ?
a?aeiia?aeieo oaeeueiaeo ooieoe?e.
A?aee?eooy oe?eiai eeano iiaeo i?inoeo oi/ii ?ica’ycoaaieo iiaeaeae
ca’ycaii oaeiae c ?icaeoeii oai??? nie?oii?a [2]. Iniaeea?noue oaeeo
nie?oiiieo oi/ieo ?ica’yce?a o oiio, ui ??ai? aia?a?? ? o?eniaaieie,
ine?eueee aiie ? ?ioaa?aeaie ?ooo iae?i?eiiai aaiethoe?eiiai ??aiyiiy
Ei?oaaaaa-aea O??ca (EaeO), a noaie iaia?a?aiiai niaeo?a
a?aeiia?aeathoue iiai?e i?ici?ino? i?e ?icn?yii? /anoeiie.
Aeoaea aaaeeeai iaoe oaeee eiiieaen oi/ieo ?ica’yce?a aeey iaoiaee/ieo
?ethno?aoe?e, a oaeiae ye aaco ia?aa??ee iaaeeaeaieo iaoiae?a.
C’yaey?oueny iai/iee niin?a aeaiiino?aoe?? no?oeoo?e niaeo?a o aeiaaeeo
iioaioe?ae?a c aeno?aioiaie aenieiai ii?yaeeo, iiiaaeaiiy ??ai?a a
e?eoe/iee ae?aiacii aia?a?e iiaeeco iaeneioi?a iioaioe?aea, a oaeiae
eaaioiaeo aoaeo?a oeio ooiaeueiiai ?icuaieaiiy ? o. ?.
Ciaoiaeaeaiith iiaeo oi/ieo ?ica’yce?a ?O ni?iiaiai iioiaeaeaiiy,
aea/aiith o?ce/ieo aeanoeainoae ni?iiaeo nenoai oeio ai?cio?iiieo
ia?aiaaiaoee?a, a oaeiae aeine?aeaeaiith oi/ieo ?ica’yce?a
nie?oiiiiiae?aieo iioaioe?ae?a ? i?enay/aia aeena?oaoeieia ?iaioa.
Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?iaioa aeeiiaia
ia eaoaae?? oai?aoe/ii? o?ceee o?ce/iiai oaeoeueoaoo Oa?e?anueeiai
aea?aeoi?aa?neoaoo a ?aieao oai Aea?aeaaiiai eii?oaoo Oe?a?ie c ieoaiue
iaoee ? oaoiieia?e N 0197U002478 (1997 ?.) “Aeaiaioa?ii na?i?
caoaeaeaiue iaaei?iaiaeieo, ii?iaeueieo oa niiiiaeo iecueeiaeii?ieo
nenoai o iaaiioiiio iiei” oa N 0194U12801 (1994 ?.) “?icaeoie oa
canoinoaaiiy iiaeo iaoiaeia oai?aoe/iiai aeineiaeaeaiiy niiiiaeo
nenoai”.
Iaoa ?iaioe ? iniiai? caaea/? aeine?aeaeaiiy. Iaoa aeena?oaoe?eii?
?iaioe – ciaoiaeaeaiiy oa canoinoaaiiy iiaeo eean?a oi/ieo ?ica’yce?a ?O
c i?inoeie yaieie aiae?oe/ieie ae?acaie aeey iioaioe?aeueieo iie?a,
??ai?a aia?a?? oa oaeeueiaeo ooieoe?e noaoe?iia?ieo noai?a. Aeey
aeinyaiaiiy oe??? iaoe aoei iinoaaeaii ianooii? caaea/?.
1. Io?eiaoe iia? oi/i? ?ica’ycee ?O ca aeiiiiiaith eiioeaioe??
ni?i-eii?aeeiaoii? a?aeiia?aeiino?, yea aeicaiey? caanoe caaea/o i?i
?ica’ycie iaeiiaei??iiai ?O c aeayeeie aoaeoeaieie iioaioe?aeaie aei
caaea/? i?i ciaoiaeaeaiiy aeanieo cia/aiue aai?eueoii?aia a?aeiia?aeii?
ni?iiai? nenoaie.
2. ?ic?iaeoe iaoiae ia/eneaiiy ??ai?a aia?a?? aiaa?iii?/ieo inoeeeyoi??a
ca aeiiiiiaith ciaeaeaieo oi/ieo ?ica’yce?a aeey ni?iiaeo aoaeoeaieo
iioaioe?ae?a.
3. Aea/eoe iecueeioaiia?aoo?i? o?ce/i? aeanoeaino? ai?cio?iiieo
ia?aiaaiaoee?a o iaai?oiiio iie? (aia?aaoe/iee niaeo?, iaiaai?/ai?noue,
ni?eeiyoeea?noue).
4. ?icaeyiooe iioaioe?aee nie?oiiiiai iioiaeaeaiiy: aeaanoe oi?ioee aeey
oaeeueiaeo ooieoe?e ca’ycaieo noaoe?iia?ieo noai?a, aea/eoe aieea ??cieo
ia?aiao??a ia oi?io aaaaoi??aiaaeo iioaioe?ae?a, ciaeoe oa?aeoa?i?
i?io?e? oaeeo iioaioe?aeueieo iiaeaeae, ii??aiyoe oe? iioaioe?aee c
a?aeiia?aeieie iiaeaeyie ni?iiai? i?e?iaee.
Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a. I?e aeeiiaii? aeena?oaoe?eii?
?iaioe aoei aia?oa io?eiaii ianooii? iia? iaoeia? ?acoeueoaoe:
aeyaeai? iia? eeane oi/ieo ?ica’yce?a ?O, aeey yeeo oaea?oueny
caienaoe ??ai? aia?a?? oa oaeeueia? ooieoe?? noaoe?iia?ieo noai?a o
i?inoiio yaiiio aeaeyae?, a naia:
;
;
;
;
i?e canoinoaaii? iaoiae?a, ?ic?iaeaieo o eaaioia?e oai??? ni?iiaeo
nenoai, anoaiiaeaii, ui aeey eaaeia?nieo ia?aiaaiaoee?a o iiia?a/iiio
iaai?oiiio iie? i?e iecueeeo oaiia?aoo?ao iaeneioi ni?eeiyoeeaino? ye
ooieoe?? iiey ?c i?aeaeuaiiyi oaiia?aoo?e caaino?th?oueny, a i?e aeaye?e
oaiia?aoo?? iiaea noaoe aeaiai?aei;
cai?iiiiiaaii iiaee iaoiae ?ic?aooieo ??ai?a aia?a?? aiaa?iii?/ieo
inoeeeyoi??a;
aia?oa c eaaioiaiiaoai?/ii? oi/ee ci?o aeaoaeueii ?icaeyaeathoueny
??ciiiai?oi? eieae?ciaai? iiaeae? nie?oiiiiai iioiaeaeaiiy, o yeeo ?
i?ino? yai? aiae?oe/i? oi?ioee aeey iioaioe?ae?a, ??ai?a aia?a?? oa
oaeeueiaeo ooieoe?e noaoe?iia?ieo noai?a a eaaioia?e iaoai?oe?.
I?iaaaeai? a aeena?oaoe?? aeine?aeaeaiiy aeicaieeee aeaanoe oi?ioee aeey
a?aeiia?aeieo oaeeueiaeo ooieoe?e, aeyaeoe oacia? aeiaeaoee, ye?
aecia/athoue ianeiao?e/i? oi?ie iiaeaeae oa anoaiiaeoe oa?aeoa?i?
i?io?e? oaeeo aaaaoi??aiaaeo iioaioe?ae?a;
aia?oa iaaiai?th?oueny ni?i-nie?oiiia aiaeia?y;
?ic?iaeai? oa a?aei?aoeueiaai? iia? i?ea?iaeuei? i?ia?aie aeey
aiae?oe/ieo oa /enaeueieo aeine?aeaeaiue ?icaeyiooeo o aeena?oaoe??
ni?iiaeo nenoai, a oaeiae niaoe?aeuei? eiii’thoa?i? noaiaee aeey
aea/aiiy aeanoeainoae aaaaoi??aiaaeo nie?oiiiiiae?aieo iioaioe?ae?a.
I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. Aaaeeea?noue oi/ieo
?ica’yce?a ?icaeyiooiai oeio a oiio, ui, ii-ia?oa, oea iniiaa
noaoe?iia?ieo noai?a o eaaioia?e iaoai?oe?, ii-ae?oaa, oi/i? ?ica’ycee ?
ooiaeaiaioii iiaeo caaea/. Oi/i? ?ica’ycee aeei?enoiaothoueny oaeiae ye
aaca iaaeeaeaieo iaoiae?a. Ia?aa??ea iiaeo oai??e cae/aeii
cae?enith?oueny ca aeiiiiiaith a?aeiieo ie?aieo aeiaaee?a oi/ii
?ica’ycoaaieo caaea/. Ia?aoo?, oi/ii ?ica’ycoaai? caaea/? neoaeaoue
ye oanoia? i?eeeaaee i?e canoinoaaii? /enaeueieo iaoiae?a.
?acoeueoaoe, ye? a?aeiinyoueny aei ni?iiaeo oi/ieo ?ica’yce?a, aaea
ciaeoee canoinoaaiiy a ?aieao naii? aeena?oaoe?eii? ?iaioe i?e aea/aii?
iecueeioaiia?aoo?ieo aeanoeainoae ai?cio?iiieo ia?aiaaiaoee?a o
caeaaeiino? a?ae iaai?oiiai iiey oa oaiia?aoo?e a eaaioia?e oai???
ni?iiaeo nenoai.
Iniaenoee aianie caeiaoaa/a. Caeiaoaa/o iaeaaeeoue ianooiia: ?ic?aooiee
aia?aaoe/ieo ??ai?a oa oaeeueiaeo ooieoe?e noaoe?iia?ieo noai?a aeey
oi/ieo ?ica’yce?a ni?iiaeo iiaeaeae aoaeoeaieo iioaioe?ae?a; aea/aiiy
iiaaae?iee iaai?oii? ni?eeiyoeeaino? ai?cio?iiieo ia?aiaaiaoee?a o
caeaaeiino? a?ae iaai?oiiai iiey oa oaiia?aoo?e; iaoiae ia/eneaiiy
??ai?a aia?a?? ai?cio?iiieo inoeeeyoi??a; aeine?aeaeaiiy caaaeueieo
iniaeeainoae aaaaoiia?aiao?e/ieo nie?oiiieo iioaioe?ae?a; aea/aiiy
neiao?e/ieo oa ianeiao?e/ieo nie?oiiieo i?io?e?a; aeine?aeaeaiiy aieeao
oaciaeo aaee/ei ia neiao??th aaaaoi??aiaaeo nie?oiiieo iioaioe?ae?a;
?ic?aooiee oaeeueiaeo ooieoe?e aeey noaoe?iia?ieo noai?a o oaeeo
iiaeaeyo; eiii’thoa?ia iiaeaethaaiiy iioaioe?aeueieo iiaeaeae nie?oiiii?
i?e?iaee oa eiii’thoa?i? aenia?eiaioe ii aea/aiith o?ce/ieo aeanoeainoae
ai?cio?iiieo ia?aiaaiaoee?a o iaai?oiiio iie?.
Caeiaoaa/ea i?eeiaea o/anoue a iaaiai?aii? iinoaiiaee caaea/ oa
?acoeueoao?a aeine?aeaeaiue, aeiiia?aeaea iniiai? ?acoeueoaoe ?iaioe ia
eiioa?aioe?yo oa nai?ia?ao.
Ai?iaaoe?y ?acoeueoao?a ?iaioe. Iaoa??aee aeena?oaoe??
aeiiia?aeaeeny ia oaeeo i?aeia?iaeieo eiioa?aioe?yo:
15th General Conference of the Condensed Matter Division of EPS,
Baveno-Stresa (Italy), 22-25 April 1996;
International Conference on Magnetism, Cairns, (Australia), 27 July – 1
August 1997;
16th General Conference of the EPS-Condensed Matter Division, Leuven
(Belgium), 25-28 August 1997;
III I?aeia?iaei?e eiioa?aioe?? “O?ce/i? yaeua o oaa?aeeo o?eao” (aei
80-??//y aeaaeai?ea ?.I.E?ooeoey), Oa?e?a, 1997;
20th IUPAP International Conference on Statystical Physics, Paris
(France), 20-24 July 1998,
a oaeiae ia ?ioeo eiioa?aioe?yo ? nai?ia?ao a OAeO.
Ioae?eaoe??. Iniiaiee ci?no aeena?oaoe?? aoa iioae?eiaaiee o 18
?iaioao, aeeth/ath/e 6 noaoae o iaoeiaeo aeo?iaeao.
No?oeoo?a oa ianya ?iaioe. Aeena?oaoe?y neeaaea?oueny c anooio, o?ueio
?icae?e?a iniiaiiai oaenoo c ?ethno?aoe?yie, aeniiae?a ? nieneo
aeei?enoaieo aeaea?ae. Aiia i?noeoue 129 noi??iie , a?aoiaoth/e 10
?enoie?a, a?ae?ia?ao?th c 85 iaca oa 2 aeiaeaoee.
INIIAIEE CI?NO ?IAIOE
O anooi? iaa?oioiao?oueny aeooaeuei?noue oaie aeine?aeaeaiiy,
noi?ioeueiaai? iaoa ?iaioe oa iniiai? iieiaeaiiy, ye? aeiinyoueny ia
caoeno. Iaaaaeaii ia?ae?e iioae?eiaaieo i?aoeue oa eiioa?aioe?e, ia
yeeo aeiiia?aeaeeny ?acoeueoaoe aeena?oaoe??.
Ia?oee ?icae?e “I?iaeaia oi/ieo ?ica’yce?a ??aiyiiy O?aae?iaa?a”
i?noeoue iaeyae iaea?eueo a?aeiieo i?inoeo oi/ii ?ica’ycoaaieo iiaeaeae
iioaioe?ae?a c iaoith ?o c?noaaeaiiy a iiaeaeueoiio c ?icaeyiooeie a
aeena?oaoe?? iiaeaeyie iiaiai oeio.
Iaaiai?ththoueny iaoiaee ciaoiaeaeaiiy oi/ieo ?ica’yce?a ?O aeey
noaoe?iia?ieo noai?a /anoeiee a iioaioe?aeueiiio iie?. Iniaeeaa oaaaa
i?eae?ey?oueny aeaii iai?yieai.
Ia?oee iai?yiie ca’ycaiee c ?ic?iaeith iiaeo iaoiae?a o oai??? ni?iiaeo
nenoai, caaaeyee /iio aoei ciaeaeaii oe?eee eean iiaeo oi/ii
?ica’ycoaaieo iiaeaeae. ?ioee iai?yiie iia’ycaiee c ?icaeoeii oai???
nie?oii?a, ine?eueee a neooaoe?? iaa?iaii? caaea/? ?icn?yiiy
nie?oiii? oi?ioaaiiy a?athoue ?ieue iioaioe?aeueieo iie?a
o noaoe?iia?iiio ?O aeey aeayei? eaaioiai? /anoeiee. Iaaecae/aeii
aaaeeeai, ui oea aeicaiey? ciaeoe iia? oeie oi/ieo ?ica’yce?a ?O.
Iaaiai?th?oueny oaeiae caaaeueia oai?aoe/ia oa i?aeoe/ia cia/aiiy oi/ii
?ica’ycoaaieo iiaeaeae.
O ae?oaiio ?icae?e? “Oi/ii ?ica’ycoaai? iiaeae? iioaioe?ae?a ni?iiai?
i?e?iaee”, yeee ? oeaio?aeueiei, ?icaeyiooi iioaioe?aeuei? ni?iia?
iiaeae? oa ciaeaeaii yai? ae?ace aeey ??ai?a aia?a?? oa oaeeueiaeo
ooieoe?e noaoe?iia?ieo noai?a aeey aoaeoeaieo ni?iiaeo iioaioe?ae?a.
O ia?oiio i?ae?icae?e? oeueiai ?icae?eo iieno?oueny iaoiae aoaeoeaieo
iioaioe?ae?a aeey ni?iiaeo nenoai, a oaeiae iaaaaeaii ?yae i?eeeaae?a
iioaioe?aeueieo iiaeaeae, ye? iiaeia io?eiaoe i?e aeei?enoaii? oeueiai
iaoiaeo.
Ni?iia? nenoaie cono??/athoueny a ??cieo iaeanoyo o?ceee, iai?eeeaae, o
oai??? iaaiaoecio, iaaei?ia?aeiino?, yaea?i?e o?ceoe? ? o. ?. Iaoiae
iioaioe?aeueiiai iiey ia? aeaa aniaeoe aeey iieno ni?iiaeo nenoai. C
iaeiiai aieo, iaoiae iiaea aooe aoaeoeaiei i?e aea/aii? o?ce/ieo
aeanoeainoae ni?iiaeo nenoai, iai?eeeaae, iiaaae?iee iaai?oii?
ni?eeiyoeeaino? a nooo?ai eaaioia?e iaeano?, ni?iiaiai ooiaeueiiai
aoaeoo. C ae?oaiai aieo, a?aeiia?aei?noue i?ae ni?iiaeie oa
eii?aeeiaoieie nenoaiaie i?eaiaeeoue aei a?aee?eooy iiaeo eean?a oi/ieo
?ica’yce?a ?O.
– ni?i). Aeey eii?aeeiaoii? nenoaie, oaeei /eiii, ciaoiaeeoueny iiaee
eean oi/ieo ?ica’yce?a ?O. I?e oeueiio iniaeeaee ?ioa?an aeeeeeathoue
oae? aeiaaeee, eiee ni?i ? ia aeoaea aaeeeei, oae ui oa?aeoa?enoe/i?
??aiyiiy a ni?iiaiio cia?aaeaii? iathoue i?ino? yai? ?ica’ycee.
??ai?a aia?a??) ?icoaoiaai? a ieaei?e /anoei? aia?aaoe/iiai niaeo?a,
ii/eiath/e c iniiaiiai noaio, a ?aooa noaoe?iia?ieo noai?a
(“iiiaaeni?iia?”) ia iathoue oi/ieo ?ica’yce?a.
Nii/aoeo ?icaeyiooi iaeei c iaea?eueo i?inoeo ni?i-aai?eueoii?ai?a,
yeee a?aeiia?aea? eaaeia?niiio ia?aiaaiaoeeo a ia?iaiaeeeoey?iiio
iaai?oiiio iie? :
(1)
– i?iii?oe?eii iai?oaeaiino? iaai?oiiai iiey. I?e ?ica’ycaii? caaea/?
i?i noaoe?iia?i? noaie oaei? nenoaie ca aeiiiiiaith ni?i-eii?aeeiaoii?
a?aeiia?aeiino? i?eoiaeeii aei noaiaea?oiiai iaeiiaei??iiai ?O aeey
inaaaei/anoeiee c eaaae?aoe/iei caeiiii aeenia?n?? (ni?iiia), aea
aoaeoeaia iioaioe?aeueia iiea iiaoaeiaaii c a?ia?aie?/ieo ooieoe?e:
, (2)
?en.1. Oi?ie aoaeoeaieo iioaioe?ae?a aeey aeayeeo ni?iiaeo nenoai (S =
2).
??aiyie aia?a?? ni?iiia a iioaioe?aeueiiio iie? (2). Ia ?en.1.a,a,a
iieacaii aeaye? oa?aeoa?i? oi?ie oaeiai iioaioe?aeo.
Iaaaaeaii oaeiae i?eeeaae oi/ii ?ica’ycoaaiiai ianeiao?e/iiai
iioaioe?aeo, yeee iiaeia io?eiaoe i?e ?icaeyaeaii? ianooiiiai
aai?eueoii?aia:
, (3)
iienoth/iai eaaeia?niee ia?aiaaiaoee o iioeeiio a?aeiinii in?
ai?cio?ii?? iaai?oiiio iie?. O oeueiio aeiaaeeo aoaeoeaiee iioaioe?ae
ia? oaeee aeaeyae (?en.1 a,ae,a):
. (4)
Ia?aoo?, ? i?eeeaae ia??iaee/iiai iioaioe?aeo, aei yeiai iiaeia i?eeoe
i?e aeine?aeaeaii? ni?iiai? nenoaie c aai?eueoii?aiii ianooiiiai
aeaeyaeo:
, (5)
, ia?iaiaeeeoey?iiio aei inae ai?cio?ii??. A?aeiia?aeiee aoaeoeaiee
iioaioe?ae
(6)
ia?ai?aeieie aeuei oa ieae/ei ??aiyie aia?aaoe/ieo cii o
iioaioe?aeueiiio iie? (6).
O ae?oaiio i?ae?icae?e? ia/eneththoueny ??ai? aia?a?? aeey aoaeoeaieo
iioaioe?ae?a ni?iiaeo nenoai, a oaeiae iienai? iaoiaee io?eiaiiy
iaea?aeaieo oi?ioe. ?icaeyaeathoueny iaaaaeai? aeua aai?eueoii?aie oa
a?aeiia?aei? oa?aeoa?enoe/i? ??aiyiiy, aeey iaea?aeaiiy yeeo aeei?enoaii
iaoiae eaioethaiaiai ae?iao.
. Aeey ia?ieo noai?a ?o iiaeia caienaoe ca aeiiiiiaith oi?ioe
(7)
.
.
:
(8)
aeey ia?ieo ??ai?a ia?ii ianooii? oi?ioee:
.
.
O e?ioe? oeueiai i?ae?icae?eo iaaiai?th?oueny ?ieue ciaeaeaieo
?acoeueoao?a.
:
,
. (10)
ia?ii oaeee ae?ac:
. (11)
?en.2. A?ao?ee caeaaeiino? ni?eeiyoeeaino? eaaeia?niiai ia?aiaaiaoeea
a?ae iaai?oiiai iiey aeey an?o ia?ieo S a?ae 4 aei 20.
ia ii/aoeia?e noaae?? ooai?th?oueny aeaiai?aee i?io?eue (?en.3), a i?e
aaeeeeo cia/aiiyo ni?io ia?ii ieaneo aa?oeio ai?aa.
Icia/ai? caeiiii??iino? iiaeia iiynieoe aoaeiaith aia?aaoe/iiai niaeo?a
a iaeano? e?eoe/ii? oaiia?aoo?e, a naia aeecueeei ?icoaooaaiiyi ia?oeo
aeaio ??ai?a aia?a?? a ii??aiyii? c ianooiieie. Oiio aeey ciaoiaeaeaiiy
ni?eeiyoeeaino? aeinoaouei a?aoiaoaaoe aianie aeaio ia?oeo ??ai?a
aia?a??. Oaea aeai??aiaaa ai?ieneiaoe?y aeia?a iieno? iiaaae?ieo
ni?eeiyoeeaino? a icia/ai?e iaeano? oaiia?aoo?. I?e oeueiio
aeei?enoiaoaaeenue ye aiae?oe/i?, oae ? eiii’thoa?i? iaoiaee.
?en.3. Aeaiai?aee i?io?eue ni?eeiyoeeaino?
eaaeia?niiai ia?aiaaiaoeea (S=3/2, T=0.0028).
ia?ii oaeee aea a?ao?e ni?eeiyoeeaino?, yeee cia?aaeaii ia ?en.2.
Inoaii?e i?ae?icae?e i?aenoiiao? io?eiai? ?acoeueoaoe. I?iaiaeeoueny
ii??aiyiiy iiaeo oi/ieo ?ica’yce?a ?c noaiaea?oieie aeey aeia?a a?aeiieo
iiaeaeae iioaioe?ae?a.
O o?aoueiio ?icae?e? “Oi/ii ?ica’ycoaai? iiaeae? iioaioe?ae?a
nie?oiiii? i?e?iaee” ?icaeyiooi ?ica’ycee ?O c i?inoi?iai
eieae?ciaaieie iioaioe?aeueieie iieyie nie?oiiiiai iioiaeaeaiiy.
O ia?oiio i?ae?icae?e? ?icaeyiooi caaaeuei? iniaeeaino? iioaioe?ae?a
nie?oiiii? i?e?iaee. Aca?iica’ycie iaeiiaei??iiai noaoe?iia?iiai ?O oa
iae?i?eiiai aaiethoe?eiiai ??aiyiiy EaeO o oai??? nie?oii?a [2]
i?eaiaeeoue aei iiyae iioaioe?aeueieo iie?a, o yeeo ? i?ino? yai?
oi?ioee aeey ??ai?a aia?a?? oa oaeeueiaeo ooieoe?e noaoe?iia?ieo noai?a
o eaaioia?e iaoai?oe?.
I?e?iaeii, ui iniiaia oaaaa i?e ?ic?iaoe? iaoiaeo iaa?iaii? caaea/?
?icn?yiiy a oai??? nie?oii?a aoea cina?aaeaeaia ia ?ica’yceo caaea/?
Eio?, a anioe?eiaaia ?O i?e oeueiio a?aei aeiiii?aeio ?ieue, oae ui
aaaaoi eaaioiaiiaoai?/ieo iniaeeainoae oa nai oaeo iiyae iiaeo oi/ii
?ica’ycoaaieo iiaeaeae ia aoee niaoe?aeueii a?aecia/ai?.
, oi iiaeia iiaoaeoaaoe n?i’th i?inoi?iai eieae?ciaaieo iioaioe?ae?a ca
aeiiiiiaith eiiiaeoieo oi?ioe
(12)
– neiaie E?iiaea?a. Iicia/aiiy ? caaaeueiii?eeiyoeie a eaaioia?e
iaoai?oe? aeey ca’ycaieo noaoe?iia?ieo noai?a, a aac?ici??i? aaee/eie –
oeiiaeie aeey oai??? nie?oii?a.
a?aeiia?aeii oi?ioeai
aoaeooue iaoiiaethaaoe aeanoeaino? neiao??? iiaeaeae (12) oa ?o iiaeia
caaeaaaoe aeia?eueii.
?en.4. Oa?aeoa?i? i?io?e? o?e??aiaaeo neiao?e/ieo eieae?ciaaieo
iioaioe?ae?a.
, ye? iiaeia iaea?aeaoe c iaiaeii??aeii? nenoaie e?i?eieo ??aiyiue.
. Ia ?en. 4, 5 iaaaaeai? oa?aeoa?i? oi?ie nie?oiiieo iioaioe?ae?a.
Aeae?, ciaeaeaii oaeeueia? ooieoe?? noaoe?iia?ieo noai?a, oiae? ye o
oai??? nie?oii?a oeueiio ieoaiith iaeaea ia i?eaeeey?oueny oaaaa.
Iaaaaeaii ae?ace aeey oaeeueiaeo ooieoe?e o aeiaaeeo o?e??aiaaiai
iioaioe?aeo:
,
, (13)
,
.
Aeey aea/aiiy iniaeeainoae iioaioe?ae?a nie?oiiiiai oeio aoei
i?iaaaeaii oaeiae eiii’thoa?ia iiaeaethaaiiy aieeao ??cieo ia?aiao??a ia
oi?io iiaeaeae (12). Aiae?oe/i? ?acoeueoaoe i?e oeueiio ia?aa??ythoueny
oa nooo?ai aeiiiaiththoueny o aeiaaeeao eiii’thoa?ii? a?coae?caoe??.
?en.5. Aeaye? i?io?e? o?e??aiaaeo
ianeiao?e/ieo iioaioe?aeueieo yi .
O?ao?e i?ae?icae?e i?enay/aii ni?i-nie?oiii?e aiaeia??. Aeyaeeiny, ui
i?ae aeaiia nenoaiaie – ni?iiaith oa nie?oiiiith – iiaeia anoaiiaeoe
?yae a?aeiia?aeiinoae. A iaio nenoaiao ?noiaeiei ae?ne?aoiei aeaiaioai
– ni?io ? nie?oiio – a?aeiia?aea? anioe?eiaaia ?O oa iaia?a?aia
eii?aeeiaoia cia?aaeaiiy c iioaioe?aeaie oa aeayeei aia?aaoe/iei
c?noaaeaiiyi. Iioaioe?aeuei? iiaeae? aeey eiaei?e c oeeo nenoai
aaaaoiia?aiao?e/i?, iathoue ??ciiiai?oi? oi?ie, aeno?aioie aenieiai
ii?yaeeo, neiao?e/i? oa ianeiao?e/i? i?io?e?.
Oaeei /eiii, e?euee?noue iioaioe?ae?a c i?inoeie oi/ieie ?ica’yceaie a
eaaioia?e iaoai?oe? nooo?ai caaaa/o?oueny aaaaoiia?aiao?e/ieie iiaeaeyie
??ciiai aeaeyaeo.
Eaaeo/e i?i caaaeueio ?ieue oi/ieo ?ica’yce?a ?O, iaiao?aeii
ianaiia?aae i?aee?aneeoe, ui a eaaioia?e iaoai?oe? aiie ? iniiaith
aieiaiiai ?icae?eo – oai??? noaoe?iia?ieo noai?a [1], aea/aiiy o?ce/ieo
aeanoeainoae yeeo a?aeaoaa?oueny ia eiie?aoieo i?eeeaaeao c oi/ieie
?ica’yceaie, ui aeei?enoiaothoueny oaeiae aeey ?ethno?aoeaieo ai?aa;
ia?aa??ea iiaeo oai??e oaae cae/aeii cae?enith?oueny ia iniia? oi/ii
?ica’ycoaaieo caaea/.
Ocaaaeueithth/e, iiaeia neacaoe, ui oi/i? ?ica’ycee ?O, iniaeeai c
i?inoeie yaieie aiae?oe/ieie ae?acaie aeey iioaioe?ae?a, ??ai?a aia?a??
oa oaeeueiaeo ooieoe?e noaoe?iia?ieo noai?a, ooai?ththoue iaii?ooia
oe?iia iaaeaaiiy eaaioiai? oai???.
AENIIAEE
A aeena?oaoe?? ciaeaeaii iia? oi/i? ?ica’ycee aeey iioaioe?aeueieo
iiaeaeae, io?eiaieo ca aeiiiiiaith iaoiaeo ni?i-eii?aeeiaoii?
a?aeiia?aeiino? a oai??? ni?iiaeo nenoai, a oaeiae aeine?aeaeaii
aaaaoiia?aiao?e/iee eean iiaeaeae nie?oiiiiai iioiaeaeaiiy.
?acoeueoaoe ?iaioe, ye? a?aeiinyoueny aei ni?iiaeo oi/ieo ?ica’yce?a,
aaea ciaeoee canoinoaaiiy a ?aieao naii? ?iaioe i?e aea/aii? o?ce/ieo
aeanoeainoae ai?cio?iiieo ia?aiaaiaoee?a o eaaioia?e oai??? ni?iiaeo
nenoai, a oaeiae i?e ?ic?iaoe? iaoiaeo ia/eneaiiy ??ai?a aia?a??
aiaa?iii?/ieo inoeeeyoi??a.
A aeena?oaoe?? ciaeaeaii aeiaeaoeia? ye?nii iia? oi/i? ?ica’ycee
??aiyiiy O?aae?iaa?a ni?iiaiai iioiaeaeaiiy, ye? i?noyoue i?ino? yai?
aiae?oe/i? ae?ace aeey iioaioe?ae?a, ??ai?a aia?a?? oa oaeeueiaeo
ooieoe?e noaoe?iia?ieo noai?a, ui nooo?ai iiiiaieei eean iiae?aieo
?ica’yce?a o eaaioia?e oai???.
I?e aeine?aeaeaii? eaaeia?nieo ia?aiaaiaoee?a o iiia?a/iiio iaai?oiiio
iie? iieacaii, ui i?e iecueeeo oaiia?aoo?ao ni?eeiyoeea?noue ye ooieoe?y
iaai?oiiai iiey ia? iaeneioi i?e an?o cia/aiiyo ni?ia. C i?aeaeuaiiyi
oaiia?aoo?e oeae iaeneioi caaino?th?oueny, a i?e aeayeeo oiiaao i?io?eue
ni?eeiyoeeaino? iiaea noaoe iaa?oue aeaiai?aei. Ia?aaeaa/aii aiaeia?/i?
iniaeeaino? iiaaae?iee ni?eeiyoeeaino? e o aeiaaeeo aeaia?nieo
ia?aiaaiaoee?a.
Ca’ycie noaoe?iia?iiai ??aiyiiy O?aae?iaa?a c iae?i?eiei aaiethoe?eiei
??aiyiiyi Ei?oaaaaa-aea O??ca a oai??? nie?oii?a i?eaiaeeoue aei iiyae
??ciiiai?oieo eieae?ciaaieo iiaeaeae iioaioe?aeueieo iieae, o yeeo ?
i?ino? yai? aiae?oe/i? oi?ioee aeey ??ai?a aia?a?? oa oaeeueiaeo
ooieoe?e noaoe?iia?ieo noai?a.
I?iaaaeai? a aeena?oaoe?? aeine?aeaeaiiy aeicaieeee aeyaeoe oa?aeoa?i?
oi?ie oaeeo aaaaoi??aiaaeo iioaioe?ae?a, aeaanoe oi?ioee aeey
a?aeiia?aeieo oaeeueiaeo ooieoe?e noaoe?iia?ieo noai?a oa aeyaeoe oacia?
aeiaeaoee, ye? aecia/athoue ianeiao?e/i? i?io?e? oaeeo iiaeaeae.
Anoaiiaeaii, ui i?ae aeaiia ??cieie nenoaiaie – ni?iiaith oa
nie?oiiiith – ? aaaaoi a?aeiia?aeiinoae: oi/i? ?ica’ycee ? iia?/iei
?acoeueoaoii iniiaieo aeine?aeaeaiue – ?ic?iaee iiaeo iaoiae?a o oai???
ni?iiaeo oa nie?oiiieo nenoai; ii/aoeiaei aeene?aoiei aeaiaioai iaio
nenoai – ni?io ? nie?oiio – a?aeiia?aea? anioe?eiaaia ??aiyiiy
O?aae?iaa?a oa iaia?a?aia eii?aeeiaoia cia?aaeaiiy; aeey iioaioe?aeueieo
iiaeaeae oa?aeoa?i? aaaaoiia?aiao?e/i?noue, ??ciiiai?oi?noue oi?i,
aeno?aioie aenieiai ii?yaeeo, neiao?e/i? oa ianeiao?e/i? i?io?e?.
A aeena?oaoe?? oe?iei aeei?enoaii eiii’thoa?i? iaoiaee aeine?aeaeaiiy,
ye? aeicaieythoue eiio?iethaaoe aiae?oe/i? ?ic?aooiee ia iniia?
aiae?oe/ieo ia?aoai?thaaiue ca aeiiiiiaith eiii’thoa?ieo nenoai
neiaieueii? iaoaiaoeee, a oaeiae o /enaeueiiio ? a?ao?/iiio aeaeyae?.
Aiae?oe/i? ?ic?aooiee nooo?ai aeiiiaithaaeenue a oiiaao eiii’thoa?ii?
a?coae?caoe??.
Aeniiaee aeena?oaoe?? aeaaeooue ciiao e?aua ?icoi?oe o?ce/i?
aeanoeaino? ni?iiaeo nenoai oeio ai?cio?iiieo ia?aiaaiaoee?a o
iaai?oiiio iie?.
NIENIE OeEOIAAII? E?OA?AOO?E
1. Eaiaeao E.Ae., Eeooeoe A.I. Eaaioiaay iaoaieea. – M.: Iaoea, 1989. –
768 c.
2. Oai?ey nieeoiiia. Iaoiae ia?aoiie caaea/e / A.A.Caoa?ia, N.A.Iaiaeia,
N.I.Iiaeeia, E.I.Ieoaaaneee. – M.: Iaoea, 1980. – 320 c.
3. Ulyanov V.V., Zaslavskii O.B. New methods in the theory of quantum
spin systems // Phys. Rep. – 1992. – V. 216, N 4. – P. 179-251.
4. Caneaaneee I.A., Oeueyiia A.A., Oeoea?iee A.I. E oai?ee
ieceioaiia?aoo?iie aini?eei/eainoe nieiiauo nenoai n iaaieoiie
aiecio?iieae // OIO. – 1983. – O. 9, N 5. – C. 511-519.
NIENIE INIIAIEO IOAE?EAOe?E CAeIAOAA*EE CA OAIITH AeENA?OAOe??
1. Oeueyiia A.A., Caneaaneee I.A., Aaneeaaneay TH.A. Iiaua oi/iua
?aoaiey o?aaiaiey O?aaeeiaa?a n iioaioeeaeaie nieiiaiai e nieeoiiiiai
i?ienoiaeaeaiey // OIO. – 1997. – O. 23, N 1. – C. 51-60.
2. Caneaaneee I.A., Oeueyiia A.A., Aaneeaaneay TH.A. E oai?ee
ieceioaiia?aoo?iuo naienoa nieiiauo nenoai n iaaieoiie aiecio?iieae //
OIO. – 1997. – O. 23, N 12. – N. 1289-1295.
3. Caneaaneee I.A., Oeueyiia A.A., Aaneeaaneay TH.A. Ieceioaiia?aoo?iua
naienoaa iaeiiiniuo ia?aiaaiaoeeia a iaeeiiiii iaaieoiii iiea //
OIO. – 1998 – O. 24, N 7. – C. 627-634
4. Aaneeaanueea TH.A., Oeueyiia A.A. Oi/ii?ica’ycoaai? iiaeae?
iioaioe?ae?a iaaei?ici?iaiai oeio a eaaioia?e iaoai?oe? // OOAE. – 1998.
– T. 43, N 3. – C. 363-367.
5. Aaneeaaneay TH.A., Oeueyiia A.A. I oi/iuo ?aoaieyo o?aaiaiey
O?aaeeiaa?a aeey iioaioeeaeia nieeoiiiiai i?ienoiaeaeaiey // Eca.aocia.
Oeceea. – 1998. – N 2. – C. 116-117.
6. Aaneeaaneay TH.A., Oeueyiia A.A. Oi/iua ?aoaiey o?aaiaiey O?aaeeiaa?a
a neo/aa nieeoiiiuo iiaeaeae iioaioeeaeueiuo iieae // A?niee OAeO. Na??y
“O?ceea”. – 1998. – N 417, a. 1. – C. 9-13.
7. Aaneeaaneay TH.A., Caneaaneee I.A., Oeueyiia A.A. I nieeoiiiuo e
nieiiauo oi/iuo ?aoaieyo o?aaiaiey O?aaeeiaa?a // Oece/aneea yaeaiey a
oaa?aeuo oaeao. Iaoa?eaeu 2-e eiioa?aioeee, 1-3 oaa?aey 1995 a. –
Oa?ueeia: OAO, 1995. – C. 8.
8. Aaneeaaneay TH.A., Oeueyiia A.A. Eiiiuethoa?iue noaiae aeey
enceaaeiaaiey nieeoii iuo iioaioeeaeueiuo iiaeaeae // Iaoa?eaeu 2-e
eiioa?aioeee “I?eiaiaiea ia?ni- iaeueiuo eiiiuethoa?ia a iao/iuo
enneaaeiaaieyo e o/aaiii i?ioeanna”, Oa?ueeia, 23- 24 yiaa?y 1996 aiaea.
– Oa?ueeia: OAO, 1996. – N. 16.
9. Vasilevskaya J.V., Ulyanov V.V., Zaslavskii O.B. New approach to the
quantum theory of the spin systems // 15th General Conference of the
Condensed Matter Division of EPS, Baveno-Stresa (Italy), 22-25 April
1996, P. 220.
10. Aaneeaaneay TH.A., Oeueyiia A.A. Iiaeaee?iaaiea nieeoiiiuo yaeaiee
// Eiiiuethoa?iua i?ia?aiiu o/aaiiai iacia/aiey. Oacenu aeieeaaeia 3-e
Iaaeaeoia?iaeiie eiioa?aioeee (Aeiiaoee, 27 – 29 aaaonoa 1996 a.). –
Aeiiaoee: AeiiAO,
1996.- N. 91.
11. Ulyanov V.V., Zaslavskii O.B., Vasilevskaya J.V. Quantum spin
systems: new methods and exactly solvable potential models //
Proceedings of the III International Conference on Physical Phenomena in
Solids (21-23 January 1997, Kharkov, Ukraine), p. 23.
12. Zaslavskii O.B., Ulyanov V.V., Vasilevskaya J.V. On the theory of
quasi-exactly solvable models // Proceedings of the III International
Conference on Physical Phenomena in Solids (21-23 January 1997, Kharkov,
Ukraine), p. 36.
13. Aaneeaaneay TH.A., Oeueyiia A.A., Caneaaneee I.A. Aeiiieieoaeueiua
iiaua oi/iua ?aoaiey o?aiaiey O?aaeeiaa?a aeey nieiiauo yooaeoeaiuo
iioaioeeaeia // Oece/aneea yaeaiey a oaa?aeuo oaeao. Iaoa?eaeu 3-e
Iaaeaeoia?iaeiie eiioa?aioeee, 21-23 yiaa?y 1997 a. – Oa?ueeia: OAO,
1997. – C. 37.
14. Oeueyiia A.A., Caneaaneee I.A., Aaneeaaneay TH.A. Niei-nieeoiiiay
aiaeiaey a eaaioiauo oi/ii?aoaaiuo iioaioeeaeueiuo iiaeaeyo //
Oece/aneea yaeaiey a oaa?aeuo oaeao. Iaoa?eaeu 3-e Iaaeaeoia?iaeiie
eiioa?aioeee, 21-23 yiaa?y 1997 a. – Oa?ueeia: OAO, 1997. – N. 38.
15. Aaneeaanueea TH.A., Oeueyiia A.A. Oi/ii ?ica’ycee ?iaiyiiy
O?aaeiiaa?a o aeiaaeeo nieioiiieo iioaioeiaeia // Oice/ii yaeua a
oaa?aeeo oieao. Iaoa?iaee 3-? Iiaeia?iaeii? eiioa?aioei?, 21-23 ni/iy
1997 ?. – Oa?eia: OAeO, 1997. – N. 39.
16. Zaslavskii O.B., Vasilevskaya J.V., and Ulyanov V.V. New approach
to the theory of magnetic spin systems // International Conference on
Magnetism (27 July – 1 August, 1997, Cairns, Australia). Abstracts,
Q3-75.
17. Vasilevskaya J.V., Zaslavskii O.B., and Ulyanov V.V. Theoretical
Investigation of Quantum Properties of Spin Systems // 16-th General
Conference of the EPS-Condensed Matter Division (25-28 August,1997,
Leuven, Belgium). Abstracts, p. 110.
18. Vasilevskaya Yu.V., Zaslavskii O.B., and Ulyanov V.V. Physical
properties of easy-axis paramagnets in a transverse magnetic field //
20-th Conference of Statystical Physics (20-24 July 1998, Paris,
France). Book of Abstracts, Poa01/40.
A aeena?oaoe?? i?noeoueny iiaiee nienie i?aoeue ca oaiith ?iaioe
(onueiai 25 iaeiaioaaiue).
AIIOAOe??
Aaneeaanueea TH.A. Oi/ii ?ica’ycoaai? eaaioiai iioaioe?aeuei?
iiaeae? ni?iiaiai oa nie?oiiiiai iioiaeaeaiiy. – ?oeiien.
Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaith eaiaeeaeaoa
o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.04.02 – oai?aoe/ia
o?ceea. ?inoeooo iiiie?enoae?a IAI Oe?a?ie, Oa?e?a, 1999.
A aeena?oaoe?? io?eiaii iia? oi/i? ?ica’ycee ??aiyiiy O?aae?iaa?a
ni?iiaiai oa nie?oiiiiai iioiaeaeaiiy, ui iathoue i?ino? yai? aiae?oe/i?
ae?ace aeey iioaioe?aeueieo iie?a, ??ai?a aia?a?? oa oaeeueiaeo
ooieoe?e noaoe?iia?ieo noai?a.
Ca aeiiiiiaith iaoiae?a eaaioiai? oai??? ni?iiaeo nenoai ciaeaeaii iia?
oi/i? ?ica’ycee iaeiiaei??iiai noaoe?iia?iiai ??aiyiiy O?aae?iaa?a aeey
aeayeeo iiaeaeae aoaeoeaieo iioaioe?ae?a. Aeaaaeaii oi?ioee aeey
aia?aaoe/iiai niaeo?a oa a?aeiia?aeieo oaeeueiaeo ooieoe?e. I?iaaaeaii
oeeee aeine?aeaeaiue iiaaae?iee iaai?oii? ni?eeiyoeeaino? ai?cio?iiieo
ia?aiaaiaoee?a o iaai?oiiio iie? a caeaaeiino? a?ae oaiia?aoo?e. Aea/aii
iniaeeaino? oi/ieo ?ica’yce?a ??aiyiiy O?aae?iaa?a, ye? c’yaeeenue
caaaeyee iaoiaeai, ?ic?iaeaiei o oai??? nie?oii?a. Aeaaaeaii yai?
oi?ioee aeey a?aeiia?aeieo oaeeueiaeo ooieoe?e noaoe?iia?ieo noai?a oa
iaaiai?th?oueny aiaeia?y i?ae ni?iiaeie oa nie?oiiieie oi/ieie
?ica’yceaie.
Eeth/ia? neiaa: ??aiyiiy O?aae?iaa?a, ni?iiaa nenoaia, oi/i? ?ica’ycee,
aoaeoeaiee iioaioe?ae, ia?aiaaiaoee, ni?eeiyoeea?noue, nie?oii.
Vasilevskaya J.V. Exactly solvable quantum potential models of spin and
soliton origin. – Manuscript.
Thesis for a candidate’s degree in physical and mathematical science by
speciality 01.04.02 – theoretical physics . Institute for Single
Crystals of NAS, Kharkiv, Ukraine, 1999. The new exact solutions of
Schroedinger equation of spin and soliton origin with simple explicit
analytical expressions for potential fields, energy levels and wave
functions of stationary states are obtained. By using the methods of
quantum theory of spin systems new exact solutions of one-dimensional
stationary Schroedinger equation for some effective potentials models
are found. The formulae for energy spectrum and corresponding wave
functions were determined. The behaviour of magnetic susceptibility of
anisotropic paramagnets in a magnetic field is considered as a function
of temperature. The peculiarities of exact solutions of Schroedinger
equation produced due to the soliton theory’s methods are studied. The
explicit formulae for corresponding wave functions of stationary states
were found, the spin-soliton analogy is considered.
Key words: Shroedinger equation, spin system, exact solutions,
effective potential, paramagnet, susceptibility, soliton.
Aaneeaaneay TH.A. Oi/ii ?aoaaiua eaaioiaua iioaioeeaeueiua iiaeaee
nieiiaiai e nieeoiiiiai i?ienoiaeaeaiey. – ?oeiienue.
Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.04.02 – oai?aoe/aneay
oeceea. Einoeooo iiiie?enoaeeia IAI Oe?aeiu, Oa?ueeia, 1999.
A aeenna?oaoeee iieo/aiu iiaua oi/iua ?aoaiey o?aaiaiey O?aaeeiaa?a
nieiiaiai e nieeoiiiiai i?ienoiaeaeaiey, eiathuea i?inoua yaiua
aiaeeoe/aneea au?aaeaiey aeey iioaioeeaeueiuo iieae, o?iaiae yia?aee e
aieiiauo ooieoeee noaoeeiia?iuo ninoiyiee.
N iiiiuueth iaoiaea yooaeoeaiuo iioaioeeaeia, ?ac?aaioaiiiai a
eaaioiaie oai?ee nieiiauo nenoai, iaeaeaiu iiaua oi/iua ?aoaiey
iaeiiia?iiai noaoeeiia?iiai o?aaiaiey O?aaeeiaa?a aeey ?yaea iiaeaeae
iioaioeeaeueiuo iieae, niioaaonoaothueo nieiiaui nenoaiai oeia
aiecio?iiiuo ia?aiaaiaoeeia, iaoiaeyueony ai aiaoiai iaaieoiii iiea. Yoe
iioaioeeaeu eeai eiatho oi?io iaeieaeeciaaiiuo yi, n?aaee eioi?uo
ano?a/athony aeaieiua e n ieieioiii /aoaa?oiai ii?yaeea, eeai
ieacuaathony ia?eiaee/aneeie. Ai ana neo/ayo eiathony eae neiiao?e/iua,
oae e ianeiiao?e/iua oi?iu.
Aeey eaaeaeie ec ?anniio?aiiuo iiaeaeae yooaeoeaiiai iioaioeeaea
iieo/aiu yaiua aiaeeoe/aneea au?aaeaiey aeey yia?aaoe/aneiai niaeo?a e
aieiiauo ooieoeee noaoeeiia?iuo ninoiyiee a aeaea aeinoaoi/ii i?inouo
oi?ioe, niaea?aeaueo ia?aiao?u niioaaonoaothueo nieiiauo nenoai e
au?aaeaiiuo /a?ac yeaiaioa?iua ooieoeee (iieeiiiu e ?aaeeeaeu,
o?eaiiiiao?e/aneea e ia?aoiua o?eaiiiiao?e/aneea ooieoeee,
yeniiiaioeeaeueiua e aeia?aiee/aneea ooieoeee).
Iiae/a?eiooi, /oi ?anniio?aiiua yooaeoeaiua iioaioeeaeu ?acei
ioee/athony io ecaanoiuo noaiaea?oiuo iiaeaeae iioaioeeaeueiuo iieae
oai, /oi eaaeaeay iiaeaeue eiaao ianeieueei iacaaeneiuo ia?aiao?ia,
nouanoaaiii aeeythueo ia oi?io iioaioeeaea e ia no?oeoo?o
yia?aaoe/aneiai niaeo?a, ?acoeueoaoii /aai yaeyaony iiiaii?ioeeueiinoue
eaaeaeiai ec iioaioeeaeia e ia?ano?ieea yia?aaoe/aneiai niaeo?a, a
aeiiieieoaeueiua a?aie/iua oneiaey oeia iai?iieoeaaiinoe i?eaiaeyo e
aeaeueiaeoaio oaaee/aieth /enea oi/iuo ?aoaiee.
I?aaeeiaeai iaoiae ?an/aoa o?iaiae yia?aee /aoaa?iiai inoeeeeyoi?a n
iiiiuueth iaeaeaiiuo oi/iuo ?aoaiee aeey yooaeoeaiuo iioaioeeaeia
nieiiauo nenoai n ieieioiii 4-ai ii?yaeea.
Ia aaca iieo/aiiuo oi/iuo ?aoaiee i?iaaaeai oeeee enneaaeiaaiee
iiaaaeaiey iaaieoiie aini?eei/eainoe aiecio?iiiuo ia?aiaaiaoeeia a
iaaieoiii iiea a caaeneiinoe io oaiia?aoo?u.
Iieacaii, /oi aini?eei/eainoue eaaeiiniuo ia?aiaaiaoeeia eae ooieoeey
iaaieoiiai iiey iaeaaeaao oa?aeoa?i?i iaeneioiii aeaaea i?e ia i/aiue
ieceeo oaiia?aoo?ao. I?aaeneacaii, /oi i?e iiauoaiee oaiia?aoo?u io ioey
yoio iaeneioi caino?yaony, i?e/ai aai iieiaeaiea iaiyaony iaiiiioiiii, a
i?e iaeioi?ie oaiia?aoo?a i?ioeeue aini?eei/eainoe iiaeao noaoue
aeaoai?aui. Aeaii iauyniaiea iaaethaeaaiui yooaeoai.
Enneaaeiaaii iiaaaeaiea iaaieoiie aini?eei/eainoe iaeiiiniuo
ia?aiaaiaoeeia a iaeeiiiii ioiineoaeueii ine aiecio?iiee iaaieoiii iiea,
a oaeaea aeaooiniuo ia?aiaaiaoeeia a ia?iaiaeeeoey?iii inyi aiecio?iiee
iaaieoiii iiea i?e ?acee/iuo niioiioaieyo iaaeaeo eiinoaioaie
aiecio?iiee.
Eco/ai? iniaaiiinoe oi/iuo ?aoaiee o?aaiaiey O?aaeeiaa?a n i?inouie
yaiuie aiaeeoe/aneeie au?aaeaieyie aeey iioaioeeaeueiuo iieae, o?iaiae
yia?aee e aieiiauo ooieoeee noaoeeiia?iuo ninoiyiee, eioi?ua iiyaeeenue
aeaaiaea?y iaoiaeai, ?ac?aaioaiiui a oai?ee nieeoiiia.
Iaeaeaiu oa?aeoa?iua oi?iu iiiaio?iaiaauo eieaeeciaaiiuo iioaioeeaeia,
a oaeaea oaciaua aeiaaaee, ii?aaeaeythuea ianeiiao?e/iia iiaaaeaiea
iioaioeeaeueiuo iiaeaeae. Auaaaeaiu yaiua oi?ioeu aeey niioaaonoaothueo
aieiiauo ooieoeee noaoeeiia?iuo ninoiyiee. Ioia/aii, /oi, a ioee/ea io
ae?oaeo neo/aaa n oi/iuie ?aoaieyie, eiaaea caaeaaony iioaioeeae e
?aoaaony o?aaiaiea O?aaeeiaa?a, a iiaeaeyo nieeoiiiiai i?ienoiaeaeaiey
i?iecaieueii auae?athony o?iaie yia?aee, aeey eioi?uo no?ieony
aeinoaoi/ii i?inoie iioaioeeae. I?e yoii aeey eaaeaeiai iaai?a o?iaiae
iieo/aaony ia iaeia iiaeaeue n oeene?iaaiiui i?ioeeai, a aaneiia/iia
iiiaiia?aiao?e/aneia naiaenoai iioaioeeaeueiuo iiaeaeae.
Onoaiiaeaii, /oi iaaeaeo aeaoiy niaa?oaiii ?acee/iuie nenoaiaie –
nieiiaie e nieeoiiiie, – iinoaaeythueie a eaaioiaoth oa?eth iiaeaee
iioaioeeaeueiuo iieae n oi/iuie ?aoaieyie o?aaiaiey O?aaeeiaa?a, eiaaony
oeaeue ?yae niioaaonoaee.
?anniio?aiiua oai?aoe/aneea aii?inu nii?iaiaeaeaiu oe?ieei i?eiaiaieai
aiaeeoe/aneeo, /eneaiiuo e a?aoe/aneeo iaoiaeia enneaaeiaaiey n
iiiiuueth nia?aiaiiuo eiiiuethoa?iuo iaoaiaoe/aneeo nenoai e
niaoeeaeueii nicaeaiiuo i?eaeiaeueiuo i?ia?aii.
Ianoaeaeaia iauay ?ieue oi/ii ?aoaaiuo iioaioeeaeueiuo iiaeaeae a
eaaioiaie oai?ee. Iiae/a?eiooi, /oi ioee/eoaeueiay iniaaiiinoue
iaeaeaiiuo oi/iuo ?aoaiee – oece/aneee niune oaea i?e naiai iiyaeaiee,
iineieueeo iie yaeeenue ia ieiaeii iaoaiaoe/aneeo i?aia?aciaaiee, a
?acoeueoaoii enneaaeiaaiey eiie?aoiuo oece/aneeo nenoai – nieiiauo e
nieeoiiiuo.
Eeth/aaua neiaa: o?aaiaiea O?aaeeiaa?a, nieiiaay nenoaia, oi/iua
?aoaiey, yooaeoeaiue iioaioeeae, ia?aiaaiaoee, aini?eei/eainoue,
nieeoii.
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