Email this article The energy levels and eigen wave functions of electrons in quantum rings in the magnetic field
- Authors: Antropova E.V.1, Bryzgalov A.A.1, Karmanov F.I.1
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Affiliations:
- Obninsk Institute for Nuclear Power Engineering of the National Research Nuclear University MEPhI
- Issue: Vol 17, No 1 (2013)
- Pages: 326-333
- Section: Articles
- URL: https://journals.rcsi.science/1991-8615/article/view/34720
- DOI: https://doi.org/10.14498/vsgtu1171
- ID: 34720
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Abstract
The solution of the eigenvalue problem for non interacting electrons of the quantum ring in the magnetic field is discussed. The potential shape of the quantum ring permitting analytical solution was proposed. The solution of the appropriate eigenvalue problem was found in the terms of the Heun functions and expression for the energy levels was obtained. It was pointed out that proposed potential might be considered as a single-well or double-well potential of concentric quantum rings.
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##article.viewOnOriginalSite##About the authors
Elena Viktorovna Antropova
Obninsk Institute for Nuclear Power Engineering of the National Research Nuclear University MEPhI
Email: antrolen@yandex.ru
Alexander Anatolievich Bryzgalov
Obninsk Institute for Nuclear Power Engineering of the National Research Nuclear University MEPhI
Email: sandro185@mail.ru
Fedor Ivanovich Karmanov
Obninsk Institute for Nuclear Power Engineering of the National Research Nuclear University MEPhI
Email: fikarm@yandex.ru
Candidate of physico-mathematical sciences, Associate professor
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