Диссертация (1145426), страница 3
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N. Labzowsky, G. Plunien, D. Liesen, F. Bosch, Th. Stohlker,Method for the production of highly charged ions with polarized nuclei andzero total electron angular momentum- Physical Review A90,064701(1-4), (2014).1521. K.N. Lyashchenko, O.Yu. Andreev,Importance of the Breit interaction for calculation of the dierential crosssection for dielectronic recombination with one-electron uranium- Physical Review A91,012511(1-9), (2015).22.
A.A. Bondarevskaya, D.V. Chubukov, O.Yu. Andreev, E.A. Mistonova, L.N.Labzowsky, G. Plunien, D. Liesen, F Bosch,On the electric dipole moment of the electron and the P,T-oddelectronnucleus interaction in highly-charged heavy ions- Journal of Physics B48,144007(1-11), (2015).23. K.N. Lyashchenko, O.Yu. Andreev,Calculation of dierential cross section for dielectronic recombination withone-electron uranium- Journal of Physics: Conference Series583,012005(1-4), (2015).24.
K. N. Lyashchenko, O. Yu. Andreev,Calculation of dierential cross section for dielectronic recombination withone-electron uranium- Journal of Physics: Conference Series635,052036(1), (2015).25. O.Yu. Andreev, E.A. Mistonova, A.B. Voitkiv,Correlated transfer ionization in relativistic collisions of highly chargednuclei with light atoms- Journal of Physics: Conference Series635,052076(1), (2015).26.
K.N. Lyashchenko, O.Yu. Andreev,Calculation of dierential cross section for dielectronic recombination withtwo-electron uranium- Physical Review A94,042513 (1-12), (2016).1627. K.N. Lyashchenko, O.Yu. Andreev, A.B. Voitkiv,Eects of autoionization in electron loss from heliumlike highly charged ionsin fast collisions with atomic particles- Physical Review A96,052702 (1-14), (2017)28. A.A. Bondarevskaya, D.V.
Chubukov, E.A. Mistonova, K.N. Lyashchenko,O.Yu. Andreev, A. Surzhykov, L.N. Labzowsky, G. Plunien, D. Liesen, F.Bosch,Considerations towards the possibility of the observation of paritynonconservation in highly charged ions in storage rings- Physica Scripta93,025401 (1-16), (2018)Ñòðóêòóðà è îáúåì ðàáîòûÄèññåðòàöèÿ ñîñòîèò èç ââåäåíèÿ, òð¼õ ãëàâ, çàêëþ÷åíèÿ, òð¼õ ïðèëîæåíèéè ñîäåðæèò 223 ñòðàíèöû, 82 ðèñóíêà è 9 òàáëèö. Ñïèñîê ëèòåðàòóðûâêëþ÷àåò 120 íàèìåíîâàíèé.Êðàòêîå ñîäåðæàíèå ðàáîòûÂïåðâîé ãëàâåÂîèçëîæåíû îñíîâíûå èäåè ìåòîäà êîíòóðà ëèíèè.âòîðîé ãëàâåïðåäñòàâëåíî ïðèìåíåíèå ìåòîäà êîíòóðà ëèíèè äëÿèçó÷åíèÿ óðîíåé ýíåðãèè.  ïàðàãðàôå 2.1. ðàçáèðàåòñÿ ïðèìåíåíèå ìåòîäà êîíòóðà ëèíèè äëÿ ñëó÷àÿ îäíîýëåêòðîííûõ èîíîâ.
 ïîäïàðàãðàôå2.1.1 ïðåäñòàâëåíî ïðèìåíåíèÿ ìåòîäà àäèàáàòè÷åñêîé S-ìàòðèöû äëÿ ó÷¼òàâñòàâîê âî âíåøíèå ýëåêòðîííûå ëèíèè ôåéíìàíîâñêèõ ãðàôèêîâ.  ïàðàãðàôå 2.2 ïðåäñòàâëåí ìåòîä êîíòóðà ëèíèè äëÿ ìíîãîýëåêòðîííûõ èîíîâ.17Ðàññìàòðèâàåòñÿ ñëó÷àé íåâûðîæäåííûõ óðîâíåé.  ïàðàãðàôå 2.3 ïðåäñòàâëåí ìåòîä êîíòóðà ëèíèè äëÿ âûðîæäåííûõ óðîâíåé.  ïàðàãðàôå 2.4îïèñûâàåòñÿ ïðèìåíåíèå ìåòîäà êîíòóðà ëèíèè äëÿ äâóõýëåêòðîííûõ èîíîâ. ïàðàãðàôå 2.5 îïèñûâàåòñÿ ïðèìåíåíèå ìåòîäà êîíòóðà ëèíèè äëÿ òð¼õýëåêòðîííûõ èîíîâ.
 ïàðàãðàôå 2.6 ïðåäñòàâëåíî ïðèìåíåíèå ìåòîäà êîíòóðà ëèíèè äëÿ èçó÷åíèÿ êâàçèâûðîæäåííûõ óðîâíåé.Âòðåòüåé ãëàâåïðåäñòàâëåíî ïðèìåíåíèå ìåòîäà êîíòóðà ëèíèè äëÿðàñ÷¼òîâ âåðîÿòíîñòåé ïåðåõîäîâ â ìíîãîçàðÿäíûõ èîíàõ.  ïàðàãðàôå 3.1ðàññìàòðèâàþòñÿ îäíîýëåêòðîííûå èîíû.  ïàðàãðàôå 3.2 ðàññìàòðèâàþòñÿ äâóõýëåêòðîííûå èîíû. Âûâîäÿòñÿ âûðàæåíèÿ äëÿ âåðîÿòíîñòåé ïåðåõîäà â íóëåâîì ïîðÿäêå òåîðèè âîçìóùåíèé.  ïàðàãðàôå 3.3 ïðåäñòàâëåíðàñ÷¼ò ïîïðàâîê ïåðâîãî ïîðÿäêà ê âåðîÿòíîñòåé ïåðåõîäîâ.
 ïàðàãðàôå3.4 ïðåäñòàâëåíû âû÷èñëåíèå âåðîÿòíîñòåé ïåðåõîäà.  ïîäïàðàãðàôå 3.4.1ðàññìàòðèâàþòñÿ íåâûðîæäåííûå óðîâíè.  ïîäïàðàãðàôå 3.4.2 ðàññìàòðèâàþòñÿ âåðîÿòíîñòè ïåðåõîäà ìåæäó êâàçèâûðîæäåííûìè óðîâíÿìè. Âïîäïàðàãðàôå 3.4.3 ïðåäñòàâëåíû ðåçóëüòàòû ÷èñëåííûõ ðàñ÷¼òîâ. ÷åòâ¼ðòîéãëàâåïðåäñòàâëåíî ïðèìåíåíèå ìåòîäà êîíòóðà ëèíèè äëÿîïèñàíèÿ ïðîöåññà ýëåêòðîííîé ðåêîìáèíàöèè ñ ìíîãîçàðÿäíûìè èîíàìè. ïàðàãðàôå 4.1 ïðèâîäèòñÿ ìîòèâàöèÿ èññëåäîâàíèÿ.  ïàðàãðàôå 4.2ðàññìàòðèâàåòñÿ ýëåêòðîííàÿ ðåêîìáèíàöèÿ ñ H-ïîäîáíûìè èîíàìè.  ïàðàãðàôå 4.3 ðàññìàòðèâàåòñÿ ýëåêòðîííàÿ ðåêîìáèíàöèÿ ñ He-ïîäîáíûìèèîíàìè.  ïàðàãðàôå 4.4 ïðåäñòàâëåíî ïðèìåíåíèå ìåòîäà êîíòóðà ëèíèèäëÿ îïèñàíèÿ ïðîöåññà ðåêîìáèíàöèè ýëåêòðîíîâ ñ ìíîãîçàðÿäíûìè èîíàìè.
 ïàðàãðàôå 4.5 îáñóæäàåòñÿ âû÷èñëåíèå äèôôåðåíöèàëüíîãî ñå÷åíèÿðàäèàöèîííîé ðåêîìáèíàöèè.  ïàðàãðàôå 4.6 ïðèâîäÿòñÿ äåòàëè ÷èñëåííûõ ðàñ÷¼òîâ.  ïàðàãðàôå 4.7 îáñóæäàþòñÿ ðåçóëüòàòû ðàñ÷¼òà ñå÷åíèÿ18äèýëåêòðîííîé ðåêîìáèíàöèè ñ H-ïîäîáíûì èîíîì óðàíà.  ïîäïàðàãðàôå 4.7.1 ïðèâîäÿòñÿ äåòàëè âû÷èñëåíèÿ ìàòðè÷íûõ ýëåìåíòîâ ñîáñòâåííîéýíåðãèè ýëåêòðîíà.  ïàðàãðàôå 4.8 ïðèâîäÿòñÿ ðåçóëüòàòû ðàñ÷¼òà ñå÷åíèÿ äèýëåêòðîííîé ðåêîìáèíàöèè ñ He-ïîäîáíûìè èîíàìè. ïÿòîéãëàâåïðåäñòàâëåíî ïðèìåíåíèå ìåòîäà êîíòóðà ëèíèè äëÿ èçó-÷åíèÿ ýôôåêòà ïîòåðè ýëåêòðîíîâ â ñòîëêíîâåíèè ìíîãîçàðÿäíûõ èîíîâ ñàòîìíûìè ÷àñòèöàìè.
 ïàðàãðàôå 5.1 ïðåäñòàâëåíî òåîðåòè÷åñêîå îïèñàíèå ïðîöåññà ïîòåðè ýëåêòðîíîâ.  ÷àñòíîñòè, îáñóæäàåòñÿ ïîÿâëåíèå ðåçîíàíñíîãî êàíàëà èîíèçàöèè.  ïàðàãðàôå 5.2 îáñóæäàåòñÿ ïðèìåíåíèåìåòîäà êîíòóðà ëèíèè äëÿ ïîñòðîåíèÿ äâóõýëåêòðîííûõ ñîñòîÿíèé ìíîãîçàðÿäíûõ èîíîâ.  ïàðàãðàôå 5.3 ðàññìàòðèâàåòñÿ ïîòåðÿ ýëåêòðîíîâ âñòîëêíîâåíèÿõ ñ ãîëûìè ÿäðàìè.  ïàðàãðàôå 5.4 ðàññìàòðèâàåòñÿ ïîòåðÿ ýëåêòðîíîâ â ñòîëêíîâåíèÿõ ñ àòîìàìè.  ïàðàãðàôå 5.5 ïðåäñòàâëåíûðåçóëüòàòû ÷èñëåííûõ ðàñ÷¼òîâ.  ïîäïàðàãðàôå 5.5.1 ïðîöåññ ïîòåðè ýëåêòðîíîâ ðàññìàòðèâàåòñÿ ñèñòåìå ïîêîÿ ìíîãîçàðÿäíîãî èîíà.  ïîäïàðàãðàôå 5.5.2 ïðîöåññ ðàññìàòðèâàåòñÿ â ñèñòåìå ïîêîÿ àòîìà.  ïîäïàðàãðàôå5.5.3 ïðèâîäèòñÿ ñðàâíåíèå ïðîöåññà ïîòåðè ýëåêòðîíîâ â ñòîëêíîâåíèÿõ ñàòîìíûìè ÷àñòèöàìè è ñ ôîòîíàìè.19Ãëàâà 1Ìåòîä êîíòóðà ëèíèèÌåòîä êîíòóðà ëèíèè áûë âïåðâûå ñôîðìóëèðîâàí êàê ìåòîä äëÿ âû÷èñëåíèÿ ÊÝÄ ïîïðàâîê äëÿ ìíîãîýëåêòðîííûõ ñèñòåì â ðàáîòå [6]. Ïðîáëåìàåñòåñòâåííîãî êîíòóðà ñïåêòðàëüíîé ëèíèè â àòîìíîé ôèçèêå â òåðìèíàõêâàíòîâîé ìåõàíèêè áûëà âïåðâûå ðàññìîòðåíà Âàéñêîïôîì è Âèãíåðîì [7].Åãî ïåðàÿ ôîðìóëèðîâêà â òåðìèíàõ ñîâðåìåííîé ÊÝÄ òåîðèè áûëà ñäåëàíàâ [3], ãäå áûëî îïèñàíî ïîÿâëåíèå ëîðåíöåâñêîãî êîíòóðà â ðåçîíàíñíîì ïðèáëèæåíèè â ðàìêàõ êâàíòîâîé ýëåêòðîäèíàìèêè è èññëåäîâàëîñü ïîÿâëåíèåíåðåçîíàíñíûõ ïîïðàâîê (âûõîä çà ðåçîíàíñíîå ïðèáëèæåíèå).
 [6] áûëî ïîêàçàíî, ÷òî ìåòîä êîíòóðà ëèíèè ïðåäñòàâëÿåò ñîáîé óäîáíûé èíñòðóìåíòäëÿ âû÷èñëåíèÿ ÊÝÄ ïîïðàâîê äëÿ àòîìîâ è èîíîâ, â ÷àñòíîñòè, äëÿ âû÷èñëåíèÿ ïîïðàâîê íà ññûëî÷íûå ñîñòîÿíèÿ â ìíîãîçàðÿäíûõ èîíàõ. Ìåòîä êîíòóðà ëèíèè, â ïðèíöèïå, îáëàäàåò âñåìè ïðåèìóùåñòâàìè, êîòîðûìè îáëàäàþò àëüòåðíàòèâíûå ìåòîäû äëÿ îïèñàíèÿ ìíîãîçàðÿäíûõ èîíîâ â ðàìêàõÊÝÄ òåîðèè, òàêèå êàê ìåòîä àäèàáàòè÷åñêîé S-ìàòðèöû [1, 2, 8], ìåòîä îïåðàòîðà ýâîëþöèè [9], ìåòîä äâóõâðåìåííîé ôóíêöèè Ãðèíà [10] è ìåòîä êîâàðèàíòíîãî îïåðàòîðà ýâîëþöèè [11]. Ìåòîä êîíòóðà ëèíèè íàïðÿìóþ ñâÿçàíñ òàêèìè âåëè÷èíàìè êàê ýíåðãèÿ è øèðèíà ýëåêòðîííîãî óðîâíÿ.
Áîëåå òîãî îí ÿâíî óêàçûâàåò íà ñóùåñòâîâàíèå ïðåäåëà (ðåçîíàíñíîå ïðèáëèæåíèå)20ïðè êîòîðîì ïîíÿòèå ýíåðãèè âîçáóæä¼ííîãî ñîñòîÿíèÿ èìååò ôèçè÷åñêèéñìûñë. Òàê êàê ìû ðàññìàòðèâàåì àòîìíûå ýëåêòðîíû âçàèìîäåéñòâóþùèìè ñ êâàíòîâàííûìè ïîëÿìè (ýëåêòðîìàãíèòíîå ïîëå, ýëåêòðîí-ïîçèòðîííîåïîëå), ïîëíàÿ ñèñòåìà (ÿäðî è íàáîð ýëåêòðîíîâ) â ñòðîãîì ñìûñëå íå ÿâëÿåòñÿ çàìêíóòîé ñèñòåìîé. Ñëåäîâàòåëüíî, ìû äîëæíû îáúÿñíèòü ÷òî æåìû áóäåì íàçûâàòü ýíåðãèåé óðîâíÿ.
 ðàìêàõ ìåòîäà àäèàáàòè÷åñêîé S ìàòðèöû ýíåðãèÿ óðîâíåé îïðåäåëÿåòñÿ ïîñðåäñòâîì àäèàáàòè÷åñêîãî ïðåäåëà, â êîòîðîì âûêëþ÷àåòñÿ âçàèìîäåéñòâèå ýëåêòðîíîâ ñ êâàíòîâàííûìèïîëÿìè.  ðàìêàõ äâêõâðåìåííîé ôóíêöèè Ãðèíà ýíåðãèÿ îïðåäåëÿåòñÿ ÷åðåç ïîëîæåíèå ïîëþñîâ ôóíêöèè Ãðèíà â êîìïëåêñíîé ïëîñêîñòè.  ðàìêàõìåòîäà êîíòóðà ëèíèè óðîâåíü ýíåðãèè àññîöèèðóåòñÿ ñ ïîçèöèåé ðåçîíàíñà â êîíêðåòíîì ïðîöåññå ðàññåÿíèÿ, ò.å. ñ êîíòóðîì ëèíèè. Âîîáùå ãîâîðÿ,äëÿ êîíêðåòíîãî ïðîöåññà êîíòóð ëèíèè ÿâëÿåòñÿ î÷åíü ñëîæíîé ôóíêöèåéðàçëè÷íûõ ïàðàìåòðîâ, õàðàêòåðèçóþùèõ ïðîöåññ ðàññåÿíèÿ, è åñòåñòâåííî êîíòóð ëèíèè çàâèñèò îò ðàññìàòðèâàåìîãî ïðîöåññà ðàññåÿíèÿ.
Îáû÷íî,ìû õîòèì îïèñûâàòü óðîâåíü ýíåðãèè òîëüêî äâóìÿ ïàðàìåòðàìè: ýíåðãèåé(E ) è øèðèíîé (Γ). Äëÿ ýòîãî ìû ìîæåì èíòåðïîëèðîâàòü êîíòóð ëèíèèëîðåíöåâñêèì êîíòóðîì, êîòîðûé õàðàêòåðèçóåòñÿ ïîçèöèåé åãî ìàêñèìóìàè øèðèíîé. Ñîîòâåòñòâåííî, ýíåðãèÿ óðîâíÿ ìîæåò áûòü àññîöèèðîâàíà ñïîçèöèåé ìàêñèìóìà êîíòóðà ëèíèè, à åãî øèðèíà ñ øèðèíîé ñîîòâåòñòâóþùåãî êîíòóðà Ëîðåíöà.
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