Energy-dependent harmonic oscillator in noncommutative space


BENCHIKHA A., MERAD M., Birkandan T.

MODERN PHYSICS LETTERS A, vol.32, no.20, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 20
  • Publication Date: 2017
  • Doi Number: 10.1142/s0217732317501061
  • Journal Name: MODERN PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Istanbul Technical University Affiliated: Yes

Abstract

In noncommutative quantum mechanics, the energy-dependent harmonic oscillator problem is studied by solving the Schrodinger 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.