Feinberg-Horodecki states of a time-dependent mass distribution harmonic oscillator

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Eshghi M., Sever R., Ikhdair M.

EUROPEAN PHYSICAL JOURNAL PLUS, vol.131, no.7, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 131 Issue: 7
  • Publication Date: 2016
  • Doi Number: 10.1140/epjp/i2016-16223-3
  • Journal Name: EUROPEAN PHYSICAL JOURNAL PLUS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Middle East Technical University Affiliated: Yes

Abstract

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) to provide a particular spectrum of stationary energies. The related spectrum of the harmonic oscillator potential V (t) acting on the TDM 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 m(0).