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Борис В. Васильев Сверхтекучесть и Сверхпроводимость

Борис В. Васильев
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ìåæäó èîíàìè L âåëèêî ïî ñðàâíåíèþ ñ ðàçìåðîì<br />

èõ ýëåêòðîííûõ îáëàêîâ, ÷ëåí H ′ , õàðàêòåðèçóþùèé<br />

âçàèìîäåéñòâèå ìîæíî ðàññìàòðèâàòü<br />

êàê âîçìóùåíèå.<br />

Èíòåðåñóÿñü òîëüêî ãëàâíûì ÷ëåíîì â ýíåðãèè<br />

âçàèìîäåéñòâèÿ ïðè áîëüøèõ L, ðàçëîæèì<br />

H ′ â ðÿä ïî ñòåïåíÿì 1/L è îãðàíè÷èìñÿ ïåðâûìè<br />

÷ëåíàìè:<br />

(48)<br />

{<br />

H ′ = 4e2<br />

L<br />

1+<br />

[<br />

]<br />

+ 1 + 2(z 2−z 1 )<br />

L<br />

+ (x 2−x 1 ) 2 +(y 2 −y 1 ) 2 +(z 2 −z 1 ) 2 −1/2<br />

L −<br />

( ) 2<br />

−1/2 ( ) } −1/2<br />

− 1 − 2z 1<br />

L + r2 1<br />

L − 1 + 2z 2 2<br />

L + r2 2<br />

.<br />

L 2<br />

Êîìáèíèðóÿ ñëàãàåìûå â ýòîì âûðàæåíèè, ïîëó÷àåì:<br />

(49)<br />

H ′ ≈ 4e2<br />

L 3 (x 1x 2 + y 1 y 2 − 2z 1 z 2 ) .<br />

Ýòî âûðàæåíèå îïèñûâàåò âçàèìîäåéñòâèå äâóõ<br />

äèïîëåé d 1 è d 2 , îáðàçîâàííûõ íåïîäâèæíûìè<br />

èîíàìè è ýëåêòðîííûìè îáëàêàìè ñ ñîîòâåòñòâóþùåé<br />

ìãíîâåííîé êîíôèãóðàöèåé.<br />

Âûäåëèì òå çíà÷åíèÿ ñìåùåíèé ýëåêòðîíîâ,<br />

ïðè êîòîðûõ â ñèñòåìå âîçíèêàåò ïðèòÿæåíèå.<br />

Áóäåì ïîëàãàòü, ÷òî íóëåâûå êîëåáàíèÿ äèïîëüíûõ<br />

ìîìåíòîâ, îáðàçîâàííûõ èîíàìè ñ èõ<br />

95

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