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Revista mexicana de física

Print version ISSN 0035-001X

Abstract

FARIAS, G.; MENA-BARBOZA, E.A.  and  RODRIGUEZ, S.. On the noncommutative energy level in a two-dimensional anharmonic oscillator. Rev. mex. fis. [online]. 2019, vol.65, n.4, pp.398-403.  Epub May 06, 2020. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.65.398.

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

Keywords : Noncommutative; quantum oscillator; perturbation theory; energy levels; 2.38.Bx; 03.65.-w; 03.65.Ca; 02.30.Mv.

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