On the theory of the Schrödinger equation with the full set of relativistic corrections
All relativistic corrections to the Scrödinger equation which determine the interlink between spin and orbit of moving particles, are directly calculated from the Dirac equation using the spin invariant operators. It is shown that among the second order corrections there are not only the well-known...
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| Опубліковано в: : | Физика низких температур |
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| Дата: | 2018 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/176169 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the theory of the Schrödinger equation with the full set of relativistic corrections / A.A. Eremko, L.S. Brizhik, V.M. Loktev // Физика низких температур. — 2018. — Т. 44, № 6. — С. 734-746. — Бібліогр.: 19 назв. — англ. |
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nasplib_isofts_kiev_ua-123456789-176169 |
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Eremko, A.A. Brizhik, L.S. Loktev, V.M. 2021-02-03T19:43:10Z 2021-02-03T19:43:10Z 2018 On the theory of the Schrödinger equation with the full set of relativistic corrections / A.A. Eremko, L.S. Brizhik, V.M. Loktev // Физика низких температур. — 2018. — Т. 44, № 6. — С. 734-746. — Бібліогр.: 19 назв. — англ. 0132-6414 PACS: 03.65.Pm, 03.65.Ta, 73.20.At https://nasplib.isofts.kiev.ua/handle/123456789/176169 All relativistic corrections to the Scrödinger equation which determine the interlink between spin and orbit of moving particles, are directly calculated from the Dirac equation using the spin invariant operators. It is shown that among the second order corrections there are not only the well-known Darwin and Thomas terms, but also the new ones. Only with the account of the latter corrections the energies found with the obtained spin-orbit interaction operator, coincide with the energies of the Dirac equation exact solution. The problem of electron spectrum in the quantum well type structures is studied in details and the physical reasons for the appearance of spin-orbit interaction operators in the Dresselhaus or Rashba form, are analyzed. We express our sincere thanks to E.I. Rashba for reading the manuscript and useful comments. This work has been done under the Fundamental Research Projects No 0117U000236 and No 0117U000240 of the Department of Physics and Astronomy of the National Academy of Sciences of Ukraine. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова On the theory of the Schrödinger equation with the full set of relativistic corrections Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the theory of the Schrödinger equation with the full set of relativistic corrections |
| spellingShingle |
On the theory of the Schrödinger equation with the full set of relativistic corrections Eremko, A.A. Brizhik, L.S. Loktev, V.M. Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова |
| title_short |
On the theory of the Schrödinger equation with the full set of relativistic corrections |
| title_full |
On the theory of the Schrödinger equation with the full set of relativistic corrections |
| title_fullStr |
On the theory of the Schrödinger equation with the full set of relativistic corrections |
| title_full_unstemmed |
On the theory of the Schrödinger equation with the full set of relativistic corrections |
| title_sort |
on the theory of the schrödinger equation with the full set of relativistic corrections |
| author |
Eremko, A.A. Brizhik, L.S. Loktev, V.M. |
| author_facet |
Eremko, A.A. Brizhik, L.S. Loktev, V.M. |
| topic |
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова |
| topic_facet |
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова |
| publishDate |
2018 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
All relativistic corrections to the Scrödinger equation which determine the interlink between spin and orbit of moving particles, are directly calculated from the Dirac equation using the spin invariant operators. It is shown that among the second order corrections there are not only the well-known Darwin and Thomas terms, but also the new ones. Only with the account of the latter corrections the energies found with the obtained spin-orbit interaction operator, coincide with the energies of the Dirac equation exact solution. The problem of electron spectrum in the quantum well type structures is studied in details and the physical reasons for the appearance of spin-orbit interaction operators in the Dresselhaus or Rashba form, are analyzed.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/176169 |
| citation_txt |
On the theory of the Schrödinger equation with the full set of relativistic corrections / A.A. Eremko, L.S. Brizhik, V.M. Loktev // Физика низких температур. — 2018. — Т. 44, № 6. — С. 734-746. — Бібліогр.: 19 назв. — англ. |
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2025-12-07T16:13:56Z |
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2025-12-07T16:13:56Z |
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