The solution of the Feinberg-Horodecki (FH) equation for a time-dependent mass (TDM) harmonic oscillator quantum system is studied. A certain interaction is applied to a mass m(t)m(t)to provide a particular spectrum of stationary energies. The related spectrum of the harmonic oscillator potential V(t)V(t) acting on the TDM m(t)m(t) oscillators is found. We apply the time version of the asymptotic iteration method (AIM) to calculate analytical expressions of the TDM stationary state energies and their wave functions. It is shown that the obtained solutions reduce to those of simple harmonic oscillator as the time-dependent mass reduces to m0m0 .

Title

The European Physical Journal Plus

Publisher

Springer Berlin Heidelberg

Publisher Country

Germany

Publication Type

Both (Printed and Online)

Volume

131

Year

2016

Pages

1-7