• Coherent states of general time-dependent harmonic oscillator

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      https://www.ias.ac.in/article/fulltext/pram/062/01/0013-0029

    • Keywords

       

      Time-dependent harmonic oscillator; invariant operator; coherent state

    • Abstract

       

      By introducing an invariant operator, we obtain exact wave functions for a general time-dependent quadratic harmonic oscillator. The coherent states, both inx- andp-spaces, are calculated. We confirm that the uncertainty product in coherent state is always larger thankh/2 and is equal to the minimum of the uncertainty product of the number states. The displaced wave packet for Caldirola-Kanai oscillator in coherent state oscillates back and forth with time about the center as for a classical oscillator. The amplitude of oscillation with no driving force decreases due to the dissipation in the system. However, the oscillation with resonant frequency oscillates with a large amplitude, even after a sufficient time elapse.

    • Author Affiliations

       

      Jeong Ryeol Choi1

      1. Department of New Material Science, Division of Natural Sciences, Sunmoon University, Asan - 336-708, Republic of Korea
    • Dates

       
  • Pramana – Journal of Physics | News

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