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 ìîäåëè ïðîâåäåíû ðàñ÷åòû õàðàêòåðèñòèê ïðîöåññîâ ðàññåÿíèÿ äèðàêîâñêîé ÷àñòèöû íà ïëîñêîñòè, à òàêæå èññëåäîâàíû ñâîéñòâàëîêàëèçîâàííûõ â åå îêðåñòíîñòè ñîñòîÿíèé.Ïîêàçàíî, ÷òî ëîêàëèçîâàííûå ñïèíîðíûå ÷àñòèöû ïðè îïðåäåëåííûõçíà÷åíèÿõ ïàðàìåòðîâ ìîäåëè ñòàíîâÿòñÿ áåçìàññîâûìè. Äâèæåíèåì òàêèõ÷àñòèö îáúÿñíÿþòñÿ ìíîãèå ýôôåêòû â ãðàôåíå [10].
Êðîìå òîãî, ïàðàìåòðû ìîäåëè ìîãóò áûòü âûáðàíû òàêèì îáðàçîì, ÷òî èìïóëüñû p1 , p2 , p0 ëîêàëèçîâàííûõ ñîñòîÿíèé óäîâëåòâîðÿþò ñîîòíîøåíèþ p1 + p2 > p0 > 0, èñîîòâåòñòâóþùèé èì òîê ïàðàëëåëüíûé ïëîñêîñòè äåôåêòà íå ìîæåò áûòüðàâåí íóëþ. Òàêèå ñîñòîÿíèÿ ïîäîáíû ñâåðõïðîâîäÿùèì.Ìîäåëü è ïîëó÷åííûå íà åå îñíîâå ðåçóëüòàòû ìîæíî èñïîëüçîâàòüäëÿ òåîðåòè÷åñêîêî îïèñàíèÿ ïðîöåññîâ âçàèìîäåéñòâèÿ ýëåêòðîíîâ ñ äâóìåðíûìè ìàòåðèàëàìè (ãðàôåí, òîíêèå ïëåíêè, íàïûëåíèÿ, ðåçêèå ãðàíèöû òâåðäîãî òåëà). Ïðîñòûå ìîäèôèêàöèè ìîäåëè ïîçâîëÿþò ó÷åñòü ýôôåêòû âîçäåéñòâèÿ âíåøíèõ ýëåêòðîìàãíèòíûõ ïîëåé.Ïðèìåíåíèå ïîäõîäà Ñèìàíçèêà â êâàíòîâîé ýëåêòðîäèíàìèêå äàåòâîçìîæíîñòü ïîñòðîåíèÿ ìîäåëè äëÿ øèðîêîãî êëàññà êâàíòîâûõ ìàêðîñêîïè÷åñêèõ ÿâëåíèé â äâóõìåðíûõ ìàòåðèàëàõ. Òàêàÿ ìîäåëü ìîæåò îêà-83çàòüñÿ ïîëåçíîé äëÿ èññëåäîâàíèÿ ýôôåêòà Õîëëà, ïëàçìîí-ïîëÿðèòîííûõýôôåêòîâ, íàíîôîòîíèêè, ñâîéñòâ òîïîëîãè÷åñêèõ èçîëÿòîðîâ, òîíêèõ ïëåíîê, íàïûëåíèé è ðåçêèõ ãðàíèö [11, 12, 30].84ÁëàãîäàðíîñòèÀâòîð äèññåðòàöèè âûðàæàåò áëàãîäàðíîñòü Àíòîíîâó Íèêîëàþ Âèêòîðîâè÷ó çà íàó÷íîå ðóêîâîäñòâî, èíòåðåñ ê ïðîâîäèìûì èññëåäîâàíèÿì,îáñóæäåíèå ðåçóëüòàòîâ äèññåðòàöèè è ïîìîùü â ïîäãîòîâêå è ïðåäñòàâëåíèÿ åå ê çàùèòå.Àâòîð òàêæå ïðèçíàòåëåí Ìàðà÷åâñêîìó Âàëåðèþ Íèêîëàåâè÷ó çàêîíñòðóêòèâíûå äèñêóññèè, Ïèñüìàêó Þðèþ Ìèõàéëîâè÷ó è ïðîôåññîðóÃåéäåëüáåðãñêîãî óíèâåðñèòåòà Ôðàíöó Èîàõèìó Âåãíåðó çà ïëîäîòâîðíîåñîòðóäíè÷åñòâî.85Ëèòåðàòóðà1.Lamoreaux, S.
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