On the noncommutative energy level in a two-dimensional anharmonic oscillatoric Oscillator

Authors

  • G. Farías Centro Universitario de la Ciénega, Universidad de Guadalajara http://orcid.org/0000-0002-8025-2763
  • E.A. Mena Barboza Centro Universitario de la Ciénega, Universidad de Guadalajara, 47820, Ocotl´an, Jalisco, México.
  • and S. Rodríguez Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Coahuila, Unidad Camporredondo, Edif. A, 25000, Saltillo, Coahuila, México.

DOI:

https://doi.org/10.31349/RevMexFis.65.398

Keywords:

noncommutative · quantum oscillator · perturbation theory · energy levels

Abstract

We study quantum properties of a two-dimensional anharmonic oscillator in the space-space and momentum-momentum in noncommutative variables. This work show ex- plicitly the effects of both deformations in the energy levels. The perturbation term in the Hamiltonian manifest the main difference of the noncommutative parameters. Particular nu- merical values of noncommutative parameters are examined and graphically illustrated for different nx and ny non-negative integers.

Author Biography

G. Farías, Centro Universitario de la Ciénega, Universidad de Guadalajara

Departamento de Ciencias Básicas, Profesor-Invstigador

Downloads

Published

2019-07-01

How to Cite

[1]
G. Farías, E. Mena Barboza, and and S. Rodríguez, “On the noncommutative energy level in a two-dimensional anharmonic oscillatoric Oscillator”, Rev. Mex. Fís., vol. 65, no. 4 Jul-Aug, pp. 398–403, Jul. 2019.

Issue

Vol. 65 No. 4 Jul-Aug (2019): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.