Energy-dependent harmonic oscillator in noncommutative space-Reference-Cited by-同舟云学术

Energy-dependent harmonic oscillator in noncommutative space

Published:2017-05-30 Issue:20 Volume:32 Page:1750106
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Benchikha A.¹,Merad M.²,Birkandan T.³

Affiliation:

1. Département de Biologie Appliquée, Faculté des Sciences de la Nature et de la Vie, Université Constantine 1, Constantine, Algeria

2. Laboratoire (L.S.D.C), Faculté des Sciences Exactes, Université de Oum El Bouaghi, Oum El Bouaghi 04000, Algeria

3. Department of Physics, Istanbul Technical University, Istanbul 34469, Turkey

Abstract

In noncommutative quantum mechanics, the energy-dependent harmonic oscillator problem is studied by solving the Schrödinger equation in polar coordinates. The presence of the noncommutativity in space coordinates and the dependence on energy for the potential yield energy-dependent mass and potential. The correction of normalization condition is calculated and the parameter-dependences of the results are studied graphically.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732317501061

Reference29 articles.

1. Quantized Space-Time

2. String theory and noncommutative geometry

3. Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED

4. Noncommutative quantum mechanics

5. Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space

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