• Thermal state of the general time-dependent harmonic oscillator

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      https://www.ias.ac.in/article/fulltext/pram/061/01/0007-0020

    • Keywords

       

      Time-dependent harmonic oscillator; thermal state; density operator

    • Abstract

       

      Taking advantage of dynamical invariant operator, we derived quantum mechanical solution of general time-dependent harmonic oscillator. The uncertainty relation of the system is always larger than ħ/2 not only in number but also in the thermal state as expected. We used the diagonal elements of density operator satisfying Leouville-von Neumann equation to calculate various expectation values in the thermal state. We applied our theory to a special case which is the forced Caldirola-Kanai oscillator.

    • Author Affiliations

       

      Jeong-Ryeol Choi1

      1. Department of Electronic Physics, College of Natural Science, Hankuk University of Foreign Studies, Yongin - 449-791, Korea
    • Dates

       
  • Pramana – Journal of Physics | News

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