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...
Збережено в:
| Дата: | 2018 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.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. |
Репозитарії
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irk-123456789-176169 |
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irk-123456789-1761692021-02-04T01:30:35Z 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 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. 2018 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/176169 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова |
| spellingShingle |
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова Eremko, A.A. Brizhik, L.S. Loktev, V.M. On the theory of the Schrödinger equation with the full set of relativistic corrections Физика низких температур |
| 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. |
| format |
Article |
| author |
Eremko, A.A. Brizhik, L.S. Loktev, V.M. |
| author_facet |
Eremko, A.A. Brizhik, L.S. Loktev, V.M. |
| author_sort |
Eremko, A.A. |
| title |
On the theory of the Schrödinger equation with the full set of relativistic corrections |
| 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 |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2018 |
| topic_facet |
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова |
| url |
http://dspace.nbuv.gov.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. |
| series |
Физика низких температур |
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AT eremkoaa onthetheoryoftheschrodingerequationwiththefullsetofrelativisticcorrections AT brizhikls onthetheoryoftheschrodingerequationwiththefullsetofrelativisticcorrections AT loktevvm onthetheoryoftheschrodingerequationwiththefullsetofrelativisticcorrections |
| first_indexed |
2023-10-18T22:40:39Z |
| last_indexed |
2023-10-18T22:40:39Z |
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1796156143460941824 |