The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass

Abstract

The phase space representation for a semiconfined harmonic oscillator model with a position-dependent effective mass is constructed. We have found the Husimi distribution function for the stationary states of the oscillator model under consideration for both cases without and with the applied external homogeneous field. The obtained function is expressed through the double sum of the parabolic cylinder function. Different special cases and the limit relations are discussed, too.

13 pages, 12 figures

References in corpus (4)

• Husimi functions at dielectric interfaces: Inside-outside duality for optical systems and beyond
• The Wigner distribution function for the one-dimensional parabose oscillator
• Quantum computation and analysis of Wigner and Husimi functions: toward a quantum image treatment
• The Wigner function of a q-deformed harmonic oscillator model

Cited by in corpus (3)

• The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass
• Exact solution of the position-dependent mass Schrödinger equation with the completely positive oscillator-shaped quantum well potential
• Dynamical symmetry of a semiconfined harmonic oscillator model with a position-dependent effective mass