Feinberg-Horodecki States of Time-Dependent Mass Distribution Harmonic Oscillator

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...

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Bibliographic Details
Published in:arXiv.org 2016-08
Main Authors: Eshghi, Mahdi, Sever, Ramazan, Ikhdair, Sameer M
Format: Article
Language:English
Subjects:
Asymptotic methods
Harmonic oscillators
Mass distribution
Mathematical analysis
Oscillators
Quantum theory
Time dependence
Wave functions
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Summary: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 of the mass reduces to
ISSN:2331-8422
DOI:10.48550/arxiv.1609.00005