Description

We describe a multi-parameter family of the minimum-uncertainty squeezed states for the harmonic oscillator in nonrelativistic quantum mechanics. They are derived by the action of the corresponding maximal kinematical invariance

We describe a multi-parameter family of the minimum-uncertainty squeezed states for the harmonic oscillator in nonrelativistic quantum mechanics. They are derived by the action of the corresponding maximal kinematical invariance group on the standard ground state solution. We show that the product of the variances attains the required minimum value 1/4 only at the instances that one variance is a minimum and the other is a maximum, when the squeezing of one of the variances occurs. The generalized coherent states are explicitly constructed and their Wigner function is studied.

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Date Created
  • 2013-08-15
Resource Type
  • Text
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    Identifier
    • Digital object identifier: 10.1088/0953-4075/46/10/104007
    • Identifier Type
      International standard serial number
      Identifier Value
      0953-4075
    • Identifier Type
      International standard serial number
      Identifier Value
      1361-6455
    Note
    • This is the authors' final, accepted manuscript.

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    This is a suggested citation. Consult the appropriate style guide for specific citation guidelines.

    Kryuchkov, S. I., Suslov, S. K., & Vega-Guzman, J. M. (2013). The minimum-uncertainty squeezed states for atoms and photons in a cavity. Journal of Physics B-Atomic Molecular and Optical Physics, 46(10), 104007. doi:10.1088/0953-4075/46/10/104007

    See article as published at http://iopscience.iop.org/0953-4075/46/10/104007/

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