Coherent state of the effective mass harmonic oscillator

Abstract

We construct coherent state of the effective mass harmonic oscillator and examine some of its properties. In particular closed form expressions of coherent states for different choices of the mass function are obtained and it is shown that such states are not in general x-p uncertainty states. We also compute the associated Wigner functions.

18 Pages, 5 Figures. To be published in Mod. Phys. Lett. A

References in corpus (2)

• A study of the bound states for square potential wells with position-dependent mass
• Shape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry

Cited by in corpus (6)

• Barut-Girardello coherent states for nonlinear oscillator with position-dependent mass
• Coherent states of nonlinear oscillators with position-dependent mass: the temporal stability and fractional revivals
• SU(1,1) Coherent States For Position-Dependent Mass Singular Oscillators
• On the position dependent effective mass Hamiltonian
• Position-dependent mass systems: Classical and quantum pictures
• Two dimensional non-Hermitian harmonic oscillator: coherent states