https://doi.org/10.1140/epjp/i2016-16223-3
Regular Article
Feinberg-Horodecki states of a time-dependent mass distribution harmonic oscillator
1
Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2
Physics Department, Middle East Technical University, 06530, Ankara, Turkey
3
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
4
Department of Electrical Engineering, Near East University, Mersin 10, Northern Cyprus, Turkey
* e-mail: eshgi54@gmail.com
Received:
30
March
2016
Revised:
5
May
2016
Accepted:
26
May
2016
Published online:
4
July
2016
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 
to provide a particular spectrum of stationary energies. The related spectrum of the harmonic oscillator potential 
acting on the TDM 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 
.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016
