• Phase-space treatment of the driven quantum harmonic oscillator

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      https://www.ias.ac.in/article/fulltext/pram/088/03/0054

    • Keywords

       

      Phase-space quantum mechanics; coherent states; harmonic oscillator; Husimi distribution; cross- Wigner functions

    • Abstract

       

      A recent phase-space formulation of quantum mechanics in terms of the Glauber coherent states is applied to study the interaction of a one-dimensional harmonic oscillator with an arbitrary time-dependent force. Wave functions of the simultaneous values of position q and momentum p are deduced, which in turn give the standard position and momentum wave functions, together with expressions for the ηth derivatives with respect to q and p, respectively. Afterwards, general formulae for momentum, position and energy expectation values are obtained, and the Ehrenfest theorem is verified. Subsequently, general expressions for the cross-Wigner functions are deduced. Finally, a specific example is considered to numerically and graphically illustrate some results.

    • Author Affiliations

       

      DIÓGENES CAMPOS1 2

      1. Universidad La Gran Colombia, Carrera 6 No. 12B-12, Bogotá, Colombia
      2. Universidad Nacional de Colombia, Bogotá, Colombia
    • Dates

       
  • Pramana – Journal of Physics | News

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