Energy spectrum of three-mode coordinate-momentum coupling harmonic oscillator in non-commutative phase space

Expand
  • School of Science,Changchun University of Science and Technology,Changchun,Jilin130022,China

Received date: 2019-08-09

  Revised date: 2019-11-04

  Online published: 2020-03-13

Abstract

In non-commutative phase space,energy spectrum of three-mode coordinate-momentum coupling harmonic oscillator is analyzed by using the invariant eigen-operator method. The explicit expressions for two kinds of three - mode harmonic oscillators: no coupling and coordinate - momentum coupling are obtained. Some expressions λ0,1 and λ1,1 have be connected with non-commutative parameters θ and φ,others λ0,2 and λ1,2 do not.It is discussed about theeffect of coupling parameters on energy spectrum of three-mode coordinate-momentum coupling harmonic oscillator.The results show that the coupling parameters κ and η have the similar effect on the λ1,1 .Furthermore,they do not have any effect on the λ1,1 when κ and η are equal.

Cite this article

GOU Li-dan . Energy spectrum of three-mode coordinate-momentum coupling harmonic oscillator in non-commutative phase space[J]. College Physics, 2020 , 39(03) : 20 -23 . DOI: 10.16854 / j.cnki.1000-0712.190356

Outlines

/