On Generalized Landau Levels

• Authors: P. Krasoń , J. Milewski
• Languages of publication: EN

Abstracts

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.

Keywords

EN

03.65.-w; 03.50.De; 02.30.Gp

Discipline

• 03.50.De: Classical electromagnetism, Maxwell equations(for applied classical electromagnetism, see 41.20.-q)
• 02.30.Gp: Special functions
• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 1
• Pages: 94-96

Dates

published

2017-07

Contributors

author

P. Krasoń

• Department of Mathematics and Physics, Szczecin University, Wielkopolska 15, 70-415 Szczecin, Poland

author

J. Milewski

• Institute of Mathematics, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland

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Identifiers

DOI

10.12693/APhysPolA.132.94