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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2013, Issue 1(30), Pages 326–333 (Mi vsgtu1171)  

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory

The energy levels and eigen wave functions of electrons in quantum rings in the magnetic field

E. V. Antropova, A. A. Bryzgalov, F. I. Karmanov

"National Research Nuclear University MPEI" Obninsk State Technical University, Obninsk, 249040, Russia

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.

Keywords: quantum ring, magnetic field, quasi-exactly solvable models of quantum mechanics

DOI: https://doi.org/10.14498/vsgtu1171

Full text: PDF file (241 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

Document Type: Article
UDC: 51:530.145
MSC: 81Q80, 81V65
Original article submitted 15/XI/2012
revision submitted – 27/I/2013

Citation: E. V. Antropova, A. A. Bryzgalov, F. I. Karmanov, “The energy levels and eigen wave functions of electrons in quantum rings in the magnetic field”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 326–333

Citation in format AMSBIB
\Bibitem{AntBryKar13}
\by E.~V.~Antropova, A.~A.~Bryzgalov, F.~I.~Karmanov
\paper The energy levels and eigen wave functions of electrons in quantum rings in the magnetic field
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 326--333
\mathnet{http://mi.mathnet.ru/vsgtu1171}
\crossref{https://doi.org/10.14498/vsgtu1171}


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  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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