Position-Dependent Noncommutative Quantum Models: Exact Solution of the Harmonic Oscillator
| Auteur | OUSMANE SAMARY, DINE | |
| Date d'ajout | 2026-06-02T16:06:57Z | |
| Date de disponibilite | 2026-06-02T16:06:57Z | |
| Date de publication | 2014 | |
| Resume | This paper is devoted to find the exact solution of the harmonic oscillator in a position-dependent 4-dimensional noncommutative phase space. The noncommutative phase space that we consider is described by the commutation relations between coordinates and momenta: [ˆx1, ˆx2] = iθ(1 + ω2ˆx2), [ˆp1, ˆp2] = i¯θ, [ˆxi, ˆpj] = ieff δij . We give an analytical method to solve the eigenvalue problem of the harmonic oscillator within this deformation algebra. | |
| DOI | 10.12988/ijma.2014.44106 | |
| Autre identifiant | BECDB-1051 | |
| URI | https://dspace.uac.bj/handle/123456789/1317 | |
| Langue | fr | |
| Fait partie de | Int. Journal of Math. Analysis | |
| Sujet | noncommutative phase space | |
| Sujet | Moyal star product | |
| Sujet | eigenvalues problem | |
| Sujet | harmonic oscillator | |
| Titre | Position-Dependent Noncommutative Quantum Models: Exact Solution of the Harmonic Oscillator | |
| Type | Article |
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