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Спіральні та магнітоплазмові хвилі в провідниках з магнітодомішковими станами електронів: Автореф. дис… канд. фіз.-мат. наук / Г.І. Рашба, НАН Украї

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IAOe?IIAEUeIA AEAAeAI?ss IAOE OE?A?IE

?INOEOOO IIIIE?ENOAE?A

IAOEIAI-OAOIIEIA?*IEE EIIOeA?I

“?INOEOOO IIIIE?ENOAE?A”

Ia i?aaao ?oeiieno

?aoaa Aai?a?e ?ee?/

OAeE 537.8

NI??AEUeI? OA IAAI?OIIEACIIA? OAEE? A I?IA?AeIEEAO

C IAAI?OIAeII?OEIAEIE NOAIAIE AEAEO?II?A

01.04.02 – oai?aoe/ia o?ceea

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe

Oa?e?a-1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a Oa?e?anueeiio aea?aeaaiiio oi?aa?neoao?.

Iaoeiaee ea??aiee: aeieoi? o?ceei-iaoaiaoe/ieo iaoe, aeioeaio

??iiea?a Ieaenaiae? Ieoaeeiae/,
caa?aeoaa/

eaoaae?e oai?aoe/ii? o?ceee OAeO

Io?oe?ei? iiiiaioe:

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

Aaeae Ieaenaiae? Noaiaiiae/,

IIOe “Oa?e?anueeee o?ceei-oaoi?/iee ?inoeooo”, ia/. oai?. a?aeae?eo

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, no. iaoe. ni?a?.

Eenaoeueeee Eiia?i Ieeieaeiae/,

?inoeooo iiiie?enoae?a IOE

“?inoeooo iiiie?enoae?a” IAI Oe?a?ie, i?ia. iaoe. ni?a?.

I?ia?aeia onoaiiaa:

?inoeooo ?aae?io?ceee ? aeaeo?ii?ee ?i. I.ss. Oneeiaa IAI Oe?a?ie,

a?aeae?e oai?aoe/ii? o?ceee, i. Oa?e?a

Caoeno a?aeaoaeaoueny “ 16 ” /a?aiy 1999 ?. i 14-00 aiaeei?

ia can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae 64.169.01 i?e ?inoeooo?
ii-

iie?enoae?a IOE “?inoeooo iiiie?enoae?a” IAI Oe?a?ie (310001,

i. Oa?e?a, i?iniaeo Eai?ia, 60).

C aeena?oaoe??th iiaeia iciaeiieoeny o a?ae?ioaoe? ?inoeoooo
iiiie?enoae?a

IOE “?inoeooo iiiie?enoae?a” IAI Oe?a?ie.

Aaoi?aoa?ao ?ic?neaiee “ 11 ” o?aaiy 1999 ?.

A/aiee nae?aoa? niaoe?ae?ciaaii?

a/aii? ?aaee, eaiaeeaeao oaoi?/ieo iaoe
Ao?iuaiei E.A.

1

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie.

I?iaeaia eieae?caoe?? aeaeo?ii?a ia aeii?oeiaeo aoiiao a i?ia?aeieeao
i?e iayaiino? iaai?oiiai iiey ia? naith niaoeeo?eo [1-6]. ?oo /anoeiee a
iaai?oiiio iie? noiaeee ia iaeiiaei??iee, a a iaeiiaei??iiio aeiaaeeo ca
ycai? noaie aeaeo?iia a iie? aeii?oee i?eoyaaiiy ?niothoue a
iioaioe?aeuei?e yi? aoaeue-yei? ?ioaineaiino?. A niaeo?? aia?a??
aeaeo?ii?a ?niothoue eieaeuei? ? eaac?eieaeuei? ??ai?, coiiaeai?
noi?niith ae??th ia aeaeo?iie aeii?oeiaeo aoii?a ? iaai?oiiai iiey.
A?aeiia?aei? noaie aeaeo?ii?a iaceaathoueny iaai?oiaeii?oeiaeie [1-6] .
Aiie nooo?ai aieeaathoue ia aeanoeaino? ni??aeueieo ? iaai?oiieaciiaeo
oaeeue a i?ia?aeieeao, coiiaeththoue ?nioaaiiy iiaeo a?eie a niaeo??
oeeo oaeeue, iacaaieo iaai?oiaeii?oeiaeie oaeeyie [7,8] .

A ?iaioao [7,8] ?icaeyiooi aeanoeaino? iaai?oiaeii?oeiaeo oaeeue, ye?
?iciianthaeaeothoueny o iaoaeao c iaeiith a?oiith iin??aocaeiaae
iaai?oiiai iiey. ?iciianthaeaeaiiy oaeeue i?ae eooii aei iaai?oiiai iiey
ia ?icaeyaeaeinue. ?ic?aooiee a oeeo ?iaioao aeeiiai? o?eueee a ?aieao
wmetafile8? ??…????????????
???????????yyy????.????1?????????????
A@???&??yyyy?????Ay?y? Aeena?oaoe?y i?enay/aia
aeine?aeaeaiith aieeao iaai?oiaeii?oeiaeo noai?a aeaeo?ii?a a neaaei
eaa??iaaieo iaoaeao, iai?aiaoaeao ? ae?iaeaeaieo iai?ai?ia?aeieeao ia
aeanoeaino? ni??aeueieo ? iaai?oiieaciiaeo oaeeue. ?ic?aoiaai?
oa?aeoa?enoeee oeeo oaeeue iiey?ecaoe?y, niaeo?, caanaiiy, oaeaee?noue.
?ic?iaeai? iaoiaee niinoa?aaeaiiy oeeo oaeeue a aenia?eiaioao ii
aei??thaaiith iiaa?oiaaiai ?iiaaeaino iaoae?a ? ia?a??co ?icn?yiiy
na?oea.

Aeuaneacaia aeicaiey? c?iaeoe aeniiaie i?i aeooaeuei?noue oaie
aeena?oaoe??.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie.

2

Aeena?oaoe?y aeeiiaia ia eaoaae?? oai?aoe/ii? o?ceee Oa?e?anueeiai
aea?aeaaiiai Eiie?aoi? iaoeia? ?acoeueoaoe, ye? aeiinyoueny ia caoeno:

1. ?aciiainiee aianie a oaici? i?ia?aeiino? iaoae?a, iai?aiaoae?a ?
ae?iaeaeaieo iai?ai?ia?aeiee?a, yeee caeaaeeoue a?ae oaeeueiaiai aaeoi?a
? /anoioe, aecia/a?oueny oa?aeoa?enoeeaie iaai?oiaeii?oeiaeo noai?a —
iieiaeaiiyie ? oe?eiaie iaai?oiaeii?oeiaeo ??ai?a, eeoeaie aiie?ooaee
aeaeo?ii-aeii?oeiaiai ?icn?yiiy o eiiieaenieo iiethnao, ye? caeaaeaoue
a?ae oi?ie aeii?oeiaiai iioaioe?aeo.

2. Eieae?caoe?y aeaeo?ii?a ia aeii?oeiaeo aoiiao o iaai?oiiio iie?
ni?ey? ?iciianthaeaeaiith ni??aeueieo aeaeo?iiaai?oieo oaeeue a
aeaeo?ii-ae??eia?e ieaci? ii?iaeueieo iaeiiiainiaaieo iaoae?a,
iai?aiaoae?a ? ae?iaeaeaieo iai?ai?ia?aeiee?a. A ?o niaeo?? ?niothoue
iia? a?eee, ?icoaoiaai? iiaeeco /anoio ?aciiainieo ia?aoiae?a aeaeo?ii?a
i?ae ??aiyie Eaiaeao ? iaai?oiaeii?oeiaeie ??aiyie. I?e ia?aoeiaii?
aeenia?n?eii? e?eai? aae?eiia c e?i??th, a?aeiia?aeiith ?aciiaini?e
/anoio?, ?nio? e?iniaa neooaoe?y, yea aeieea? a oai??? ca’ycaieo oaeeue.

3. Iia? a?oee a niaeo?? ni??aeueieo oaeeue i?eaiaeyoue aei ?nioaaiiy
?aciiainieo iniaeeainoae iiaa?oiaaiai ?iiaaeaino iaoae?a ? iai?aiaoae?a
c iaai?oiaeii?oeiaeie noaiaie aeaeo?ii?a.

4. Iiaeeco /anoio ?aciiainieo ia?aoiae?a aeaeo?ii?a i?ae ??aiyie
Eaiaeao ? iaai?oiaeii?oeiaeie ??aiyie ?niothoue iia? a?eee niaeo?o
iaai?oiieaciiaeo oaeeue.

5. Iaai?oiaeii?oeia? noaie aeaeo?ii?a coiiaeththoue ?nioaaiiy iiaeo
iaeneioi?a ? i?i?ioi?a ia e?ea?e caeaaeiino? eooa Oa?aaeay a?ae /anoioe
aeaeo?iiaai?oiiai iiey a i?ia?aeieeao.

6. Ia?a??c aeaeo?iiiiai eiia?iaoe?eiiai ?icn?yiiy na?oea a i?ia?aeieeao
c iaai?oiaeii?oeiaeie noaiaie iaeii/anoeieiaeie caoaeaeaiiyie
eieae?ciaaiieo aeaeo?ii?a ia? aneiao?e/i? iaeneioie ia /anoioao
ia?aoiae?a aeaeo?ii?a i?ae ??aiyie Eaiaeao ? iaai?oiaeii?oeiaeie
??aiyie. Iia? a?oee a niaeo?? iaai?oiieaciii?a i?iyaeythoueny a
?nioaaii? aeiaeaoeiaeo neiao?e/ieo iaeneioi?a ia?a??co eiia?iaoe?eiiai
?icn?yiiy na?oea. oi?aa?neoaoo ca?aeii c oaeeie oaiaie: “Aeaiaioa?i?
caoaeaeaiiy iaaei?ia?aeieo, ii?iaeueieo oa ni?iiaeo iecueeiaei??ieo
nenoai o iaai?oiiio iie?” (caoaa?aeaeaia iaeacii I?iina?oe Oe?a?ie,
iiia? aea?ae?a?no?aoe?? 0197U002478); “Iia? oeie oaeeue a eiiaeainiaaieo
na?aaeiaeuao” (caoaa?aeaeaia iaeacii Aea?aeaaiiai Eii?oaoo Oe?a?ie c
ieoaiue iaoee oa oaoiieia?e, iiia? 2.3/157).

Iaoa ? caaea/? aeine?aeaeaiiy.

3

Iaoa aeaii? aeena?oaoe?eii? ?iaioe iieyaa? o c’ynoaaii? oiai, ye
iaai?oiaeii?oeia? noaie aeaeo?ii?a a iaoaeao, iai?aiaoaeao, ae?iaeaeaieo
iai?ai?ia?aeieeao aieeaathoue ia niaeo?, aeae?aiaio caanaiiy,
iiey?ecaoe?th ni??aeueieo aeaeo?iiaai?oieo ? iaai?oiieaciiaeo oaeeue,
aeyaeaiiy ? aeine?aeaeaiiy iiaeo a?eie o niaeo?ao oeeo oaeeue ? ?ic?iaea
iaoiae?a ae?aaiinoeee iaai?oiaeii?oeiaeo noai?a ? iiaeo oei?a oaeeue.
Aeey aeinyaiaiiy iinoaaeaii? iaoe iaiao?aeii ?icaeyiooe
iaai?oiaeii?oeia? noaie o iaeiiiainiaaieo iaoaeao, aeine?aeeoe ia
aea/ai? ?ai?oa iaeano? /anoio ? oeie ?aciiainieo ia?aoiae?a aeaeo?ii?a,
o?aooaaoe ni?iiaa ?icuaieaiiy ??ai?a Eaiaeao oa iaai?oiaeii?oeiaeo
??ai?a, ?icaeyiooe ?iciianthaeaeaiiy oaeeue i?ae eooii aei iaai?oiiai
iiey, aeeiiaoe /enaeuei? ioe?iee aaee/ei ?icaeyiooeo aoaeo?a aeey
oaa?aeio?eueieo nenoai, c yeeie iatho ni?aao aenia?eiaioaoi?e, ii??aiyoe
?acoeueoaoe ?ic?aooie?a c aeina?aeaie.

Iaoeiaa iiaecia io?eiaieo ?acoeueoao?a.

I?ae /an aeeiiaiiy aeena?oaoe?eii? ?iaioe aia?oa io?eiai? iia? iaoeia?
?acoeueoaoe:

— ?ic?aoiaaii ?aciiainiee aeeaae iaai?oiaeii?oeiaeo noai?a aeaeo?ii?a
a oaici? i?ia?aeiino? iaoae?a, iai?aiaoae?a ? ae?iaeaeaieo
iai?ai?ia?aeiee?a, yeee caeaaeeoue a?ae oaeeueiaiai aaeoi?a ? /anoioe;

— a ?acoeueoao? aeine?aeaeaiiy i?ioean?a ?iciianthaeaeaiiy ni??aeueieo
aeaeo?iiaai?oieo oaeeue o aeaeo?ii-ae??eia?e ieaci? ii?iaeueieo
iaeiiiainiaaieo iaoae?a i?e iayaiino? eieae?caoe?? aeaeo?ii?a ia
aeii?oeiaeo aoiiao ciaeaeai? iia? a?eee niaeo?o oaeeue, ?icoaoiaai?
iiaeeco /anoio ?aciiainieo ia?aoiae?a aeaeo?ii?a i?ae ??aiyie Eaiaeao ?
iaai?oiaeii?oeiaeie ??aiyie. Iieacaii, ui i?e ia?aoeiaii? aeenia?n?eii?
e?eai? aae?eiia c e?i??th, a?aeiia?aeiith ?aciiaini?e /anoio?, ?nio?
oeiiaa e?iniaa neooaoe?y, aeyaeaia a i?ioean? aeine?aeaeaiiy
?iciianthaeaeaiiy caoeo o e?enoae?/i?e a?aooe? c eaac?eieaeueieie
eieeaaiiyie;

— aeyaeaii ?aciiaini? iniaeeaino? iiaa?oiaaiai ?iiaaeaino iaoaeo c
iaai?oiaeii?oeiaeie noaiaie aeaeo?ii?a, coiiaeai? ?nioaaiiyi iiaeo a?eie
o niaeo?? ni??aeueieo oaeeue;

— aeine?aeaeaii aieea iaai?oiaeii?oeiaeo noai?a aeaeo?ii?a ia aoaeo
Oa?aaeay o i?ia?aeieeao. Aeyaeai? iia? iaeneioie ? i?i?ioie ia e?ea?e
caeaaeiino? eooa Oa?aaeay a?ae /anoioe aeaeo?iiaai?oiiai iiey o iaoaeao,
iai?aiaoaeao ? ae?iaeaeaieo iai?ai?ia?aeieeao;

— a i?ioean? aea/aiiy aieeao iaai?oiaeii?oeiaeo noai?a ia
?iciianthaeaeaiiy iaai?oiieaciiaeo oaeeue iieacaii, ui iiaeeco /anoio
?aciiainieo ia?aoiae?a aeaeo?ii?a i?ae ??aiyie Eaiaeao ?
iaai?oiaeii?oeiaeie ??aiyie ?niothoue iia? a?eee niaeo?o
iaai?oiieaciiaeo oaeeue;

4

— ?ic?aoiaaii aeeoa?aioe?aeueiee ia?a??c aeaeo?iiiiai ?icn?yiiy na?oea
a i?ia?aeieeao c iaai?oiaeii?oeiaeie noaiaie aeaeo?ii?a
iaeii/anoeieiaeie caoaeaeaiiyie eieae?ciaaieo aeaeo?ii?a ? iieacaii, ui
a?i ia? aneiao?e/i? iaeneioie ia /anoioao ia?aoiae?a aeaeo?ii?a i?ae
??aiyie Eaiaeao ? iaai?oiaeii?oeiaeie ??aiyie. Ia?a??c ?icn?yiiy na?oea
iaai?oiieaciiaeie oaeeyie ia? aeiaeaoeia? neiao?e/i? iaeneioie ia
niaeo?? oaeeue.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a.

I?aeoe/ia cia/aiiy iaea?aeaieo a ?iaio? ?acoeueoao?a iieyaa? oiio, ui
aea/ai? ni??aeuei? ? iaai?oiieaciia? oaee? ?iciianthaeaeothoueny o
?aaeueieo oaa?aeeo o?eao, ye? i?noyoue ?aciiainii ?icn?thth/? aeii?oee
— eaa??iaaieo iaoaeao, iai?aiaoaeao, iai?ai?ia?aeieeao. ?ieue oeeo
iaoa??ae?a a oaoi?oe? aaaeei ia?aioe?ieoe. Ia?aaeaa/ai? o ?iaio? iia?
?aciiaine iiaeeiaiiy aeaeo?iiaai?oiiai aei?ii?ithaaiiy oaa?aeeie o?eaie
? iia? a?eee ni??aeueieo ? iaai?oiieaciiaeo oaeeue iiaeooue aooe
aeei?enoai? i?e ?ic?iaoe? i?eioeei?a noai?aiiy iiaeo ooieoe?iiaeueieo
iaoa??ae?a c caaeaieie aeanoeainoyie aeey oaa?aeio?eueii?
i?e?iaeaeo?ii?ee, iiaeo i?eeaae?a.

Iniaenoee aianie caeiaoaa/a.

?iaioe [1-5] aoee aeeiiai? iiooea/ai o ni?aaaoi?noa? c iaoeiaei
ea??aieeii I.I. ??iiea?aei, A.?. Oo?aeoeii ? I.A. Aeaeca?. O ?iaio?
[1] iiooea/o iaeaaeaoue ?ic?aooiee aeanoeainoae iaai?oiieaciii?a o
i?ia?aeieeao c iaai?oiaeii?oeiaeie noaiaie aeaeo?ii?a, o/anoue a
iaaiai?thaaii? ?acoeueoao?a, iaienaiiy oaenoa noaoo?.

O ?iaio? [2] iiooea/o iaeaaeaoue ?ic?aooiee niaeo?a ? caanaiiy
ni??aeueieo oaeeue o i?ia?aeieeao c iaai?oiaeii?oeiaeie noaiaie
aeaeo?ii?a, iiaa?oiaaiai ?iiaaeaino oaeeo nenoai, o/anoue a
iaaiai?thaaii? ?acoeueoao?a ?iaioe, iaienaiiy oaenoa noaoo?.

O ?iaio? [3] iiooea/ aeeiiaa ?ic?aooiee o aeiaaeeo iaai?oiaeii?oeiaeo
noai?a, i?eeiaa o/anoue o iaaiai?aii? ?acoeueoao?a ?iaioe, iaienaii?
oaenoa noaoo?.

O ?iaioao [4,5] iiooea/ naiino?eii noi?ioethaaa caaea/o, aeeiiaa
?ic?aooiee ? iaienaa oaeno noaoo?.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??.

?acoeueoaoe ?iaioe aeiiia?aeaeeny ? iaaiai?thaaeeny ia oaeeo
eiioa?aioe?yo: Neiiiceoi 24 “Eaaioia? ??aeeie”, Oei?aioe?y, Ioae?y, 1993
?.; “Oai??y eiiaeainiaaiiai noaio”, Oa?e?a, 1994 ?.; “O?ce/i? yaeua a
oaa?aeeo o?eao”, Oa?e?a, 1995 ?.; I?aeia?iaeia eiioa?aioe?y c
noaoenoe/ii? o?ceee “STATPHYS19”, En?aiaiue, Eeoae, 1995 ?.;
Canoinoaaiiy ia?niiaeueieo eiii’thoa??a o iaoeiaeo aeine?aeaeaiiyo ?
iaa/aeueiiio i?ioean?, Oa?e?a, 1996 ?.; 15-a eiioa?aioe?y c oai???
oaa?aeeo o?e, Aaaaii-No?aca, ?oae?y, 1996 ?.; “O?ce/i? yaeua a oaa?aeeo
o?eao”, Oa?e?a, 1997 ?.;

5

I?aeia?iaeia eiioa?aioe?y nooaeaio?a ? ani??aio?a c ooiaeaiaioaeueieo
iaoe “Eiiiiinia-97”, Iineaa, 1997 ?.

Ioae?eaoe??.

Ii oai? aeena?oaoe?? iioae?eiaaii 12 ae?oeiaaieo ?ia?o. C ieo 5 noaoae
o iaoeiaeo aeo?iaeao ? 7 oac aeiiia?aeae ia iaoeiaeo eiioa?aioe?yo.

No?oeoo?a ? ianya ?iaioe.

Aeena?oaoe?y neeaaea?oueny ?c anooio, 4 ?icae?e?a, aeniiae?a ? nieneo
aeei?enoaieo aeaea?ae ?c 87 iaeiaioaaiue. Aiia i?noeoue 122 noi??iee,
a oaeiae 8 iaethie?a.

INIIAIEE CI?NO ?IAIOE.

Anooi i?noeoue iaa?oiooaaiiy aeooaeueiino? oaie aeena?oaoe??,
aecia/aiiy iaoe ? caaea/ ?iaioe, iaaiai?aiiy iaoeiai? iiaecie
iaea?aeaieo ?acoeueoao?a oa ?o i?aeoe/ia cia/aiiy, oi?ioethaaiiy
eiie?aoieo iaoeiaeo ?acoeueoao?a, ye? aeiinyoueny ia caoeno.

O ia?oiio ?icae?e? “Iaai?oiaeii?oeia? noaie aeaeo?ii?a” ?icaeyaea?oueny
iaoiae eieaeueieo cao?aiue ?.I. E?ooeoey. Oeae iaoiae aeei?enoaiee aeey
aeine?aeaeaiiy aeanoeainoae aeaeo?ii-aeii?oeiai? nenoaie o eaaiooth/iio
iaai?oiiio iie?. O ia?oiio i?ae?icae?e? iaaiai?th?oueny niaoeeo?ea
caaea/? i?i aeii?oeia? noaie aeaeo?ii?a a i?ia?aeieeao, iienaia
aeeiai?ea aeaeo?ii?a o oae?e nenoai?. O ae?oaiio i?ae?icae?e?
?ic?aoiaai? oa?aeoa?enoeee iaai?oiaeii?oeiaeo noai?a (iieiaeaiiy oa
oe?eie ?aciiain?a, eeoee aiie?ooaee ?icn?yiiy o iiethnao), ye?
aeieeathoue ia ?cieueiaaieo aeii?oeao a i?ia?aeieeao c eaaae?aoe/iei
niaeo?ii iin??a. Inoaii? iiaeooue aooe ia/eneai? a ?aieao eiie?aoii?
iiaeae? aeaeo?iiiiai niaeo?o o /enoiio c?aceo ? aeii?oeiaiai
iioaioe?aeo, aai io?eiai? ii??aithaaiiyi oai??? c aenia?eiaioii.

Ae?oaee ?icae?e “Oaici? aeeiai?/ii? i?ia?aeiino? i?ia?aeiee?a c
iaai?oiaeii?oeiaeie noaiaie aeaeo?ii?a” i?noeoue ?ic?aooiee oaici?o
aeniei/anoioii? i?ia?aeiino? nenoaie o iiaeae? iacaeaaeieo oi/eiaeo
aeii?oeiaeo aoii?a c a?aooaaiiyi iaai?oiaeii?oeiaeo noai?a aeaeo?ii?a ?
i?inoi?iai? aeenia?n??. ?acoeueoaoe ae?aaeai? /a?ac oa?aeoa?enoeee
iaai?oiaeii?oeiaeo noai?a. Iieacaii, ui iiaeeco /anoioe ia?aoiae?a
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6

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Aeine?aeaeaii ni??aeuei? aeaeo?iiaai?oi? oaee? a aeaeo?ii-ae??eia?e ieaci? ii?iaeueieo iaeiiiainiaaieo iaoae?a c iaai?oiaeii?oeiaeie noaiaie aeaeo?ii?a. Aeyaeaii ia?aaoaeiao niaeo?o oaeeue iiaeeco /anoio ?aciiainieo ia?aoiae?a aeaeo?ii?a i?ae ??aiyie Eaiaeao ? iaai?oiaeii?oeiaeie ??aiyie, yea noi?iaiaeaeo?oueny iiyaith iiaeo a?eie. ?ic?aoiaaii niaeo? ? aeae?aiaio caanaiiy oaeeue iiaeeco ?aciiainieo /anoio. 3. Ciaeaeaii ?iciiae?e aeaeo?iiaai?oiiai iiey a iaoae?. Ia/eneaii iiaa?oiaaee ?iiaaeain iaoae?/iiai i?ai?inoi?o c iaai?oiaeii?oeiaeie noaiaie aeaeo?ii?a. Aeyaeaii ?aciiaine ?iiaaeaino ia a?aie/ieo /anoioao a niaeo?? ni??aeueieo oaeeue. 4. ?icaeyiooi aieea iaai?oiaeii?oeiaeo noai?a aeaeo?ii?a ia aoaeo Oa?aaeay o i?ia?aeieeao. Ciaeaeaii aeiaeaoeia? iaeneioie ? i?i?ioie ia caeaaeiino? eooa Oa?aaeay a?ae /anoioe aeaeo?iiaai?oiiai iiey, coiiaeai? iaai?oiaeii?oeiaeie noaiaie aeaeo?ii?a. 5. Aeine?aeaeaii aieea iaai?oiaeii?oeiaeo noai?a aeaeo?ii?a ia iaai?oiieaciia? oaee? a iaoaeao. Iieacaii, ui iiaeeco /anoio ?aciiainieo ia?aoiae?a aeaeo?ii?a i?ae 12 iaai?oiaeii?oeiaeie ??aiyie oa ??aiyie Eaiaeao ?niothoue iia? a?eee niaeo?o iiacaeiaaei?o oaeeue. ?ic?aoiaai? niaeo? ? aeae?aiaio caanaiiy oeeo oaeeue. 6. ?ic?aoiaaii aeeoa?aioe?aeueiee ia?a??c iai?oaeiiai ?icn?yiiy na?oea iaeii/anoeieiaeie ? eieaeoeaieie caoaeaeaiiyie o i?ia?aeieeao c iaai?oiaeii?oeiaeie noaiaie aeaeo?ii?a. Aeyaeai? iia? na??? e?i?e a aia?aaoe/iiio niaeo?? ?icn?yiiai aei?ii?ithaaiiy. NIENIE OeEOIAAII? E?OA?AOO?E 1. Neiaia A.A. ?annayiea yeaeo?iia iaeie yia?aee ia ei?ioeiaeaenoaothuai iioaioeeaea a neeueiii iaaieoiii iiea // AEYOO. -- 1959. -- O. 37, a.5(11). -- n. 1467-1469. 2. Au/eia TH.A. Eaaioiaay oai?ey yeaeo?ii?iaiaeiinoe iaoaeeia a neeueiuo iaaieoiuo iieyo // AEYOO. -- 1960. -- O.39, a.3(9). -- n.689-702. 3. A?iieaaa A.I., Eaaaiia I.E. I i?e/eia aeaiee i?e iaaethaeaiee yooaeoa aea~Aaaca--aai~Aeueoaia a iaoaeeao oeia aeniooa // Ienueia a AEYOO. -- 1967. -- O.6, a.11. -- n. 984-986. 4. A?iieaaa A.I. Aeeyiea eaaceeieaeueiuo ninoiyiee ia yooaeo aea~Aaaca--aai~Aeueoaia a iaoaeeao oeia aeniooa // AEYOO. -- 1968. -- O.54, a.4. -- n.1259-1263. 5. A?aiaeo I.A., Ethaooeia E.A. Enneaaeiaaiea yooaeoa aea~Aaaca--aai~Aeueoaia o nieaaia aeniooa n naeaiii, oaeeo?ii e oeeieii // AEYOO. -- 1967. -- O.52, a.3. -- n.686-698. 6. Aiae?aaa N.I. Niaeo?u e eeiaoeea nenoai n iaaieoii?eianiuie ninoiyieyie i?e eiia/iii ?aaeeona iioaioeeaea // OOI. -- 1984. -- O.143, a.2. -- n.213-238. 7. Eaia? Y.A., A?iieaaa A.I. Iaaieoii?eianiua aieiu a iaoaeeao // Ienueia a AEYOO. -- O.44, a.8. -- n.391-392. 8. Eaia? Y.A., A?iieaaa A.I. Neaaicaoooathuea iaaieoii?eianiua aieiu a iaoaeeao // AEYOO. -- 1987. -- O.92, a.6. -- n.2245-2256. 9. A?iieaaa A.I. ?annayiea naaoa a i?iaiaeieeao n iaaieoii?eianiuie ninoiyieyie yeaeo?iiia // OOO. -- 1986. -- O.28, a.12. -- n.3670-3673. NIENIE IIOAE?EIAAIEO I?AOeUe CAeIAOAA*A CA OAIITH AeENA?OAOe?? 13 1. A?iieaaa A.I., ?aoaa A.E., Oo?aeoe A.E. I?iaeieueiay iaaieoiieaciaiiay iiaea a i?iaiaeieeao n eaaceeieaeueiuie ninoiyieyie yeaeo?iiia // OIO. -- 1993. -- O.19, a.2. -- n.220-222. 2. Aeaeca? I.A., A?iieaaa A.I., ?aoaa A.E. Nie?aeueiua aieiu a iaoaeeao n iaaieoii?eianiuie ninoiyieyie yeaeo?iiia // OIO. -- 1994. -- O.20, a.11. -- n.1169-1177. 3. A?iieaaa A.I., ?aoaa A.E., Oo?aeoe A.E. Yeaeo?iiiia eiiaeiaoeeiiiia ?annayiea naaoa a i?iaiaeieeao n iaaieoii?eianiuie ninoiyieyie // OIO. -- 1995. -- O.21, a.9. -- n.947-950. 4. A?iieaaa A.I., ?aoaa A.E. Yooaeo Oa?aaeay a i?iaiaeieeao n iaaieoii?eianiuie ninoiyieyie yeaeo?iiia // OIO. -- 1997. -- O.23, a.11. -- n.1211-1214. 5. A?iieaaa A.I., ?aoaa A.E. I?ino?ainoaaiiay aeenia?ney i?iaiaeeiinoe iaoaeeia n iaaieoii?eianiuie ninoiyieyie yeaeo?iiia // A?niee OAeO. Na??y “O?ceea”. - 1998. - ? 417, a. 1. - N. 5-8. 6. A?iieaaa A.I., ?aoaa A.E., Oo?aeoe A.E. Yeaeo?iiaaieoiua aieiu a eaae?iaaiiuo iieoiaoaeeao n iaaieoii?eianiuie ninoiyieyie yeaeo?iiia // Oece/aneea yaeaiey a oa??aeuo oaeao. Iaoa?eaeu eiioa?aioeee. Oa?ueeia: OAO. -- 1995. -- n.11. 7. Ermolaev A.M., Rashba G.I., Shurduk A.I. and Ulyanov N.V. The new type of waves in fermi-liquid of nonmagnetic metals // Simposium 24 (Quantum Fluids). -- Florence. -- 1993. -- p.143. 8. Ermolaev A.M., Rashba G.I., Shurduk A.I. and Ulyanov N.V. Collective Excitations in conductors with resonance electron states in magnetic field // International conference on statistical physics STATPHYS 19. -- Xiamen. -- 1995. -- p.89. 9. 9. Ermolaev A.M., Rashba G.I., Ulyanov N.V. and Gleizer N.V. Collective excitations in conductors with resonance electron states in magnetic field // 15 General conference of the condenced matter division. -- Baveno-Stresa, Italy. -- 1996. -- p.105. 10.A?iieaaa A.I., ?aoaa A.E., Oo?aeoe A.E. ?annayiea naaoa a i?iaiaeieeao n eaaceeieaeueiuie ninoiyieyie yeaeo?iiia a iaaieoiii iiea //Oai?ey eiiaeaine?iaaiiiai ninoiyiey. Iaoa?eaeu eiioa?aioeee. Oa?ueeia: OAO. -- 1994. -- n.40. 11. Aaaae Oaeeee, Aeaeca? I.A., A?iieaaa A.I., ?aoaa A.E. I?iaeieueiay e iiia?a/iay i?iaiaeeiinoue aeaoia?iiai yeaeo?iiiiai aaca // Oece/aneea yaeaiey a oa??aeuo oaeao. Iaoa?eaeu eiioa?aioeee. Oa?ueeia: OAO. -- 1997. -- n.34. 12. A?iieaaa A.I., ?aoaa A.E., ?aoaa O.E. Iiaeoiaeu e eiiiuethoa?iiio iiaeaee?iaaieth i?ioeanna ?ani?ino?aiaiey yeaeo?iiaaieoiuo aiei a n?aaeao n iaaieoii?eianiuie ninoiyieyie yeaeo?iiia // 14 I?eiaiaiea ia?niiaeueiuo eiiiuethoa?ia a iao/iuo enneaaeiaaieyo e o/aaiii i?ioeanna. Iaoa?eaeu eiioa?aioeee. Oa?ueeia: OAO. -- 1996. -- n.10. ?aoaa A.?. Ni??aeuei? ? iaai?oiieaciia? oaee? o i?ia?aeieeao c iaai?oiaeii?oeiaeie noaiaie aeaeo?ii?a. -- ?oeiien. Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.04.02 -- oai?aoe/ia o?ceea. -- ?ino?ooo iiiie?enoae?a IOE “?inoeooo iiiie?enoae?a”, Oa?e?a, 1998. A aeena?oaoe?? ?icaeyiooi aieea iaai?oiaeii?oeiaeo noai?a aeaeo?ii?a o ii?iaeueieo iaoaeao, iai?aiaoaeao ? ae?iaeaeaieo iai?ai?ia?aeieeao ia aeanoeaino? ni??aeueieo ? iaai?oiieaciiaeo oaeeue. Iaai?oiaeii?oeia? noaie iaoiiaeai? noi?niith ae??th ia aeaeo?iie i?eoyaoth/eo aeii?oeiaeo aoii?a ? iaai?oiiai iiey. Aiie iaoiiaeththoue cia/io ia?aaoaeiao niaeo?a ni??aeueieo ? iaai?oiieaciiaeo oaeeue, i?eaiaeyoue aei ?nioaaiiy iiaeo a?eie a niaeo?? oeeo oaeeue. A ?iaio? ?ic?aoiaai? oa?aeoa?enoeee iiaeo oei?a oaeeue: iiey?ecaoe?y, niaeo?, oaeaee?noue, caanaiiy. ?ic?iaeai? iaoiaee ae?aaiinoeee iiaeo a?eie a niaeo?? oaeeue o aeine?aeao c aei??thaaiiyi iiaa?oiaaiai ?iiaaeaino, aeaeo?iiiiai eiia?iaoe?eiiai ?icn?yiiy na?oea a i?ia?aeieeao c iaai?oiaeii?oeiaeie noaiaie. Ia?aaeaa/ai? iia? ?aciiaine ?iiaaeaino, iia? iaeneioie o niaeo?? ?icn?yiiai aei?ii?ithaaiiy. Eeth/ia? neiaa: iaai?oiaeii?oeia? noaie aeaeo?ii?a, ni??aeuei? oaee?, iaai?oiieaciia? oaee?, iiaa?oiaaee ?iiaaeain, aeaeo?iiia eiia?iaoe?eia ?icn?yiiy na?oea. ?aoaa A.E. Nie?aeueiua e iaaieoiieaciaiiua aieiu a i?iaiaeieeao n iaaieoii?eianiuie ninoiyieyie yeaeo?iiia. -- ?oeiienue. Aeenna?oaoeey ia nieneaiea o/?iie noaiaie eaiaeeaeaoa oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.04.02 -- oai?aoe/aneay oeceea. -- Einoeooo iiiie?enoaeeia IOE “Einoeooo iiiie?enoaeeia”, Oa?ueeia, 1998. A aeenna?oaoeee ?anniio?aii aeeyiea iaaieoii?eianiuo ninoiyiee yeaeo?iiia a ii?iaeueiuo iaoaeeao, iieoiaoaeeao e au?iaeaeaiiuo iieoi?iaiaeieeao ia naienoaa nie?aeueiuo e iaaieoiieaciaiiuo aiei. Iaaieoii?eianiua ninoiyiey aicieeatho a ?acoeueoaoa niaianoiiai aeaenoaey ia yeaeo?iiu i?eoyaeaathueo i?eianiuo aoiiia e iaaieoiiai iiey. Iiea iaoneiaeeaaao nouanoaiaaiea iaaieoiiai aa?uea?a, i?aiyonoaothuaai ooiaeo /anoeoe? io i?eiane a iiia?a/iii e iieth iai?aaeaiee. Neaaeiaaoaeueii, aeaeaeaiea /anoeoeu iaeiiia?ecoaony, a a iaeiiia?iii neo/aa naycaiiia ninoiyiea nouanoaoao a iioaioeeaeueiie yia ethaie eioaineaiinoe. Iaaieoii?eianiua ninoiyiey iaoneiaeeaatho nouanoaaiioth ia?ano?ieeo niaeo?a nie?aeueiuo e iaaieoiieaciaiiuo aiei, i?eaiaeyo e nouanoaiaaieth iiauo aaoaae a niaeo?a yoeo aiei. A ?aaioa ?ann/eoaiu oa?aeoa?enoeee aiei 15 iiaiai oeia: iiey?ecaoeey, niaeo?, nei?inoue, caoooaiea. ?acoeueoaou au?aaeaiu /a?ac oa?aeoa?enoeee iaaieoii?eianiuo ninoiyiee - iieiaeaiey e oe?eiu iaaieoii?eianiuo o?iaiae, au/aou aiieeooaeu ?annayiey yeaeo?iiia eciee?iaaiiui i?eianiui oeaio?ii a iiethnao, niioaaonoaothueo iaaieoii?eianiui ninoiyieyi. Yoe ia?aiao?u iiaoo auoue au/eneaiu a ?aieao eiie?aoiie iiaeaee yeaeo?iiiiai niaeo?a a /enoii ia?acoea e i?eianiiai iioaioeeaea eee iieo/aiu iooai n?aaiaiey oai?ee n yenia?eiaioii. I?e eco/aiee nie?aeueiuo aiei o/oaii nieiiaia ?anuaieaiea o?iaiae Eaiaeao e iaaieoii?eianiuo o?iaiae, ?anniio?aii ?ani?ino?aiaiea aiei iiae oaeii e iaaieoiiio iieth e enneaaeiaai iiaue oei nie?aeueiuo aiei aaeece /anoio ?aciiainiuo ia?aoiaeia yeaeo?iiia n o?iaiae Eaiaeao ia iaaieoii?eianiua o?iaie. Iieacaii, /oi i?e ia?ana/aiee aeenia?neiiiie e?eaie aaeeeiia n eeieae, niioaaonoaothuae ?aciiainiie /anoioa, nouanoaoao e?inniaay neooaoeey, oa?aeoa?iay aeey oai?ee naycaiiuo aiei. A ?acoeueoaoa eco/aiey aeeyiey iaaieoii?eianiuo ninoiyiee ia naienoaa iaaieoiieaciaiiuo aiei onoaiiaeaii, /oi aaeece /anoio ?aciiainiuo ia?aoiaeia yeaeo?iiia iaaeaeo o?iaiyie Eaiaeao e iaaieoii?eianiuie o?iaiyie nouanoaotho iiaua aaoae niaeo?a iaaieoiieaciaiiuo aiei. Oece/aneay i?e/eia nouanoaiaaiey yoeo aiei ninoieo a oii, /oi eieaeecaoeey yeaeo?iiia ia i?eianiuo aoiiao a iaaieoiii iiea i?eaiaeeo e aeiiieieoaeueiiio ( ii ioiioaieth e iaaieoiiio iieth ) ia?aie/aieth naiaiaeu ia?aiauaiey yeaeo?iiia, naeeaeay iaoaee n aeeyeaeo?eeii. A ?acoeueoaoa ?ieue aeenneiaoeaiuo i?ioeannia oiaiueoaaony, /oi niinianoaoao ?ani?ino?aiaieth yeaeo?iiaaieoiuo aiei. A ?aaioa ?ac?aaioaiu iaoiaeu aeeaaiinoeee iiauo aaoaae a niaeo?a aiei a iiuoao ii ecia?aieth iiaa?oiinoiiai eiiaaeaina iaoaeea, a eioi?ii ?ani?ino?aiythony nie?aeueiua aieiu, e yeaeo?iiiiai eiiaeiaoeeiiiiai ?annayiey naaoa ia iaaieoiieaciaiiuo aieiao. Au/eneai iiaa?oiinoiue eiiaaeain iaoaeea n iaaieoii?eianiuie ninoiyieyie. Iaia?oaeaiu iiaua ?aciiainu eiiaaeaina ia i?aaeaeueiuo /anoioao a niaeo?a nie?aeueiuo aiei. Au/eneaii aeeooa?aioeeaeueiia na/aiea iaoi?oaiai ?annayiey naaoa iaeii/anoe/iuie e eieeaeoeaiuie aicaoaeaeaieyie a i?iaiaeieeao n iaaieoii?eianiuie ninoiyieyie yeaeo?iiia. I?aaeneacaiu iiaua na?ee eeiee a yia?aaoe/aneii niaeo?a ?annayiiiai eceo/aiey. ?anniio?aii aeeyiea iaaieoii?eianiuo ninoiyiee ia ieceioaiia?aoo?iua iaaieoiiioe/aneea yooaeou: oaie a?auaiey Oa?aaeay e iaaieoiue e?oaiaie aeeo?ieci. Iaia?oaeaiu aeiiieieoaeueiua iaeneioiu e ieieioiu ia caaeneiinoe oaea Oa?aaeay io /anoiou yeaeo?iiaaieoiiai iiey, iaoneiaeaiiua iaaieoii?eianiuie ninoiyieyie. Iieo/aiiua a ?aaioa ?acoeueoaou eiatho aaaeiia i?aeoe/aneia cia/aiea. Aeaei a oii, /oi eco/aaiua nie?aeueiua e iaaieoiieaciaiiua aieiu ?ani?ino?aiythony a ?aaeueiuo 16 oaa?aeuo oaeao, niaea?aeaueo ?aciiainii ?annaeaathuea i?eiane, - a eaae?iaaiiuo iaoaeeao, iieoiaoaeeao, iieoi?iaiaeieeao. ?ieue yoeo iaoa?eaeia a oaoieea o?oaeii ia?aioeaieoue. I?aaeneacaiiua a ?aaioa iiaua ?aciiainu iiaeiuaiey yeaeo?iiaaieoiiai eceo/aiey oaa?aeuie oaeaie e iiaua aaoae a niaeo?a nie?aeueiuo e iaaieoiieaciaiiuo aiei iiaoo auoue eniieueciaaiu i?e ?ac?aaioea i?eioeeiia nicaeaiey iiauo ooieoeeiiaeueiuo iaoa?eaeia n caaeaiiuie naienoaaie aeey oaa?aeioaeueiie iee?iyeaeo?iieee, iiauo i?eai?ia. Eeth/aaua neiaa: iaaieoii?eianiua ninoiyiey yeaeo?iiia, nie?aeueiua aieiu, iaaieoiieaciaiiua aieiu, iiaa?oiinoiue eiiaaeain, yeaeo?iiiia eiiaeiaoeeiiiia ?annayiea naaoa. Rashba G.I. Spiral and magnetoplasma waves in conductors with magnetoimpurity electron states. -- Manuscript. Thesis for a candidate degree of physical and mathematical science by speciality 01.04.02 -- theoretical physics. -- Institut for Single Crystals NTK “Institut for Single Crystals” , National Academy of Sciences of Ukraine, Kharkiv, 1998. In a thesis the influence magnetoimpurity electron states in normal metals, semimetals and degenerate semiconductors on properties spiral and magnetoplasma waves is considered. Magnetoimpurity states result from combined action on electrons attracting impurity atoms and magnetic field. They caused by essential rearrangement of a spectrum spiral and magnetoplasma waves, result in existence of new branches in a spectrum of these waves. In a thesis the characteristics of waves of a new type are calculated: polarization, spectrum, speed, damping. The methods of diagnostics of new branches in a spectrum of waves in experience on measurement of a surface impedance, electron combination scattering of light in conductors with magnetoimpurity states are developed. The new resonances of an impedance and new maximas in a spectrum of a scattered radiation are predicted. Key words: magnetoimpurity electron states, spiral waves, magnetoplasma waves, surface impedance, electron combination scattering of light.

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