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Energy-dependent harmonic oscillator in noncommutative space: A path integral approach

Département de biologie Appliquée, Faculté des Science de la nature et de la Vie, Université Constantine 1, Constantine, Algérie, Algeria

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and

M. Merad

Laboratoire (L.S.D.C.), Département des Sciences de la Matière, Faculté des Sciences Exactes et Sciences de la Vie, Université de Oum El Bouaghi, 04000 Oum El Bouaghi, Algérie, Algeria

E-mail Address: meradm@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0217751X17501949Cited by:9 (Source: Crossref)

Abstract

In the context of noncommutative quantum mechanics, the energy-dependent harmonic oscillator problem is solved via path integral approach. The propagator of the system is calculated using polar coordinates. The normalized wave functions and the energy eigenvalues are obtained in two different cases.

Keywords:

PACS: 03.65.Pm, 03.65.Ca, 03.65.Db, 03.65.Ge

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