Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On the theory of the Schrödinger equation with the full set of relativistic corrections
Репозиторій DSpace/Manakin
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On the theory of the Schrödinger equation with the full set of relativistic corrections
Тема:
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова
Інший ID:
PACS: 03.65.Pm, 03.65.Ta, 73.20.At
Посилання:
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.
Підтримка:
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.
Дата:
2018
Переглядів:
365
Завантажень:
143
Анотація:
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.
