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Ðåøåíèå (30) îáîáùàåò ðàíåå ïîëó÷åííûé êëàññè÷åñêèé çàêîí äèñïåðñèè. Ñóùåñòâîâàíèåíîâîãî çàêîíà äèñïåðñèè (31) ñâÿçàíî ñ äåéñòâèåì ñïèíîâîãî ìîìåíòàâðàùåíèÿ (23), ïðèâîäÿùåãî ê ãåíåðàöèè ñïèíîâîé âîëíû. Íà îñíîâå ñèñòåìû óðàâíåíèé êâàíòîâîé ãèäðîäèíàìèêè ìíîãèõ âçàèìîäåéñòâóþùèõ ÷àñòèö ñî ñïèíàìè èññëåäîâàíà äèíàìèêà öèðêóëÿðîïîëÿðèçîâàííûõ ýëåêòðîìàãíèòíûõ âîëí, ðàñïðîñòðàíÿþùèõñÿ ïàðàëëåëüíî âíåøíåìó ìàãíèòíîìó ïîëþ. Ïîëó÷åíî íåëèíåéíîå óðàâíåíèå,îïèñûâàþùåå ïðîöåññû äèíàìèêè âåêòîðíîãî ïîòåíöèàëà, ó÷èòûâàþùåãî ïîìèìî ñèëû Ëîðåíöà, òàê æå âêëàä êâàíòîâîãî ïîòåíöèàëà Áîìà, êîëëåêòèâíîãî ñïèíîâîãî íàòÿæåíèÿ, ñïèíîâîãî ìîìåíòà âðàùåíèÿè ñèëû, âîçíèêàþùåé èç ýíåðãèè íàìàãíè÷åííîñòè ñðåäû. Íàõîäèòñÿðåøåíèå ïðèâåäåííîé ñèñòåìû óðàâíåíèé â ïðèáëèæåíèè ìàëûõ àìïëèòóä êîëåáàíèé. Íà îñíîâå ðàñøèðåííîé ñèñòåìû óðàâíåíèé, õàðàêòåðèçóþùåé ïîâåäåíèå ýëåêòðîí-èîííîé ïëàçìû âî âíåøíåì ìàãíèòíîì ïîëå, è âêëþ÷àþùåé ñèëó êóëîíîâñêèõ îáìåííûõ âçàèìîäåéñòâèé, ïîñòàâëåíà è ðåøåíàçàäà÷à îá èññëåäîâàíèè âëèÿíèÿ êóëîíîâñêèõ îáìåííûõ ýôôåêòîâ íà28äèñïåðñèþ ëåíãìþðîâñêèõ, èîííî-çâóêîâûõ è ìàãíèòî-çâóêîâûõ âîëíâ ëèíåéíîì ïðèáëèæåíèè.
Ïðîâåäåíî ÷èñëåííîå ìîäåëèðîâàíèå è ïîêàçàíî, ÷òî êóëîíîâñêèå îáìåííûå âçàèìîäåéñòâèÿ ìîãóò ïðèâîäèòü êíåóñòîé÷èâîñòè âîëíû â çàâèñèìîñòè îò êîíöåíòðàöèè ýëåêòðîíîâ èñïèíîâîé ïîëÿðèçàöèè ñèñòåìû ÷àñòèö.Îñíîâíûå ðåçóëüòàòû äèññåðòàöèè îïóáëèêîâàíû â ðàáîòàõ1. P. A. Andreev, L. S.
Kuz'menkov, M. I. Trukhanova, A quantum hydrodynamicsapproach to the formation of new types of waves in polarized two-dimensionsystems of charged and neutral particles // Phys. Rev. B. - 2011. - v. 84. P. 245401.Äèñïåðñèÿ äâóìåðíîãî ãàçà çàðÿæåííûõ è íåéòðàëüíûõ ÷àñòèö ñ äèïîëüíûì ýëåêòðè÷åñêèì ìîìåíòîì. Ìåòîä êâàíòîâîé ãèäðîäèíàìèêè.// Äèíàìè-2. Ï.
À. Àíäðååâ, Ë.Ñ. Êóçüìåíêîâ, Ì. È. Òðóõàíîâà.,êà ñëîæíûõ ñèñòåì. - 2010. - Ò. 4. - 1. - C. 32.Quantum Hydrodynamics Approach to The Researchof Quantum Eects and Vorticity Evolution in Spin Quantum Plasmas //3. Trukhanova M. Iv.,Progress of Theoretical and Experimental Physics. - 2013. - v.2013.- P.111I01.4. Trukhanova M. I., Spin and polarization Waves in a System of ParamagneticParticles with an Intrinsic Dipole Moment, Russia Nano and Giga Challengesin Electronics, Photonics and Renewable Energy Symposium and SummerSchool, 2011 Moscow - Zelenograd.Eects of spin-orbital coupling on the propagation ofwhistler waves in the magnetized plasma // The European Physical Journal5.
Trukhanova M. Iv.,D. - 2013. - v.67.- Issue 2.6. Trukhanova M. I., Spin and polarization Waves in a System of ParamagneticParticles with an Intrinsic Dipole Moment // Int. J. Mod. Phys. B. - 2011.- v.26.- . 01. - P. 1250004.7. Mariya Iv. Trukhanova, Kuz'menkov L. S.,many-particles systems // arXiv:1403.2981v2.29Spin eects in the quantum8.
Mariya Iv. Trukhanova, Pavel A. Andreev,Exchange eects in magnetizedquantum plasmas // arXiv:1405.6294.9. Ì. È. Òðóõàíîâà,Î äèíàìèêå äèïîëüíîãî ìîìåíòà â äâóìåðíûõ ñè-ñòåìàõ ÷àñòèö // XVII Ìåæäóíàðîäíàÿ êîíôåðåíöèÿ ñòóäåíòîâ, àñïèðàíòîâ è ìîëîäûõ ó÷¼íûõ "Ëîìîíîñîâ 2010".10.
Andreev P. A., Kuz'menkov L. S., Trukhanova M. I., Wavesof polarizationand methods of their generation // XLVIII All-Russian conference on problemsof particle physics, plasma and condensed matter physics, optoelectronicsdedicated to 100th Anniversary of Professor Ya. P. Terletskii, May 15-18,Moscow, Russia, 2012.Ñïèíîâûå è ñïèí-îðáèòàëüíûå ýôôåêòû â ðàñïðîñòðàíåíèè âèñòëåðîâ â êâàíòîâîé àñòðîôèçè÷åñêîé ïëàçìå // XX Ìåæ-11. Ì. È. Òðóõàíîâà,äóíàðîäíàÿ êîíôåðåíöèÿ ñòóäåíòîâ, àñïèðàíòîâ è ìîëîäûõ ó÷¼íûõ "Ëîìîíîñîâ 2013".30.















