On Generalized Landau Levels

Piotr Krasoń; Jan Milewski

doi:10.12693/APhysPolA.132.94

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Title

On Generalized Landau Levels

Authors

Piotr Krasoń
Jan Milewski (WE) ^{[ 1 ][ 7.7 ][ P ]}

^{[ 1 ]} Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | ^{[ P ]} employee

Scientific discipline (Law 2.0)

[7.7] Physical sciences

Year of publication

2017

Published in

Acta Physica Polonica A

Journal year: 2017 | Journal volume: vol. 132 | Journal number: iss. 1

Article type

scientific article

Publication language

english

Abstract

EN We consider the dispersion of energy levels for both standard and inverted quantum harmonic oscillators in the presence of a uniform electromagnetic field. For this analysis we use a solution of the corresponding eigenproblem in terms of the Kummer functions. We find a complete description of the energy levels for a particle of mass m and electric charge q subject to the action of a harmonic oscillator and simultaneous uniform magnetic and electric fields. We also analyze the effect of spin on energy levels for an electron.

Pages (from - to)

94 - 96

DOI

10.12693/APhysPolA.132.94

URL

http://przyrbwn.icm.edu.pl/APP/PDF/132/app132z1p22.pdf

Presented on

12th International School on Theoretical Physics - Symmetry and Structural Properties of Condensed Matter, SSPCM 2016, 5-10.09.2016, Rzeszów, Poland

Open Access Mode

publisher's website

Open Access Text Version

final published version