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.Comment: 12 pages, 8 figure