On Generalized Landau Levels
P. Krasońa and J. Milewski b
aDepartment of Mathematics and Physics, Szczecin University, Wielkopolska 15, 70-415 Szczecin, Poland
bInstitute of Mathematics, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland
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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.

DOI: 10.12693/APhysPolA.132.94
PACS numbers: 03.65.-w, 03.50.De, 02.30.Gp