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Space-Time Dynamics of Gazeau-Klauder Coherent States in Power-Law Potentials

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Abstract

Gazeau-Klauder coherent states are developed for power-law potentials and their evolution in space and time is analyzed. We show that these states follow classical dynamics as long as the underlying energy spectrum is linear, otherwise they follow a classical-like evolution upto a few classical periods and disperse thereafter, despite its special construction. Auto-correlation function and probability density as a function of space and time explain the spatio-temporal behavior of these states.

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Authors and Affiliations

  1. Department of Electronics, Quaid-i-Azam University, Islamabad, 45320, Pakistan

    Shahid Iqbal & Farhan Saif

  2. Max-Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187, Dresden, Germany

    Shahid Iqbal & Paula Rivière

Authors
  1. Shahid Iqbal
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  2. Paula Rivière
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  3. Farhan Saif
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Correspondence to Shahid Iqbal.

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Iqbal, S., Rivière, P. & Saif, F. Space-Time Dynamics of Gazeau-Klauder Coherent States in Power-Law Potentials. Int J Theor Phys 49, 2540–2557 (2010). https://doi.org/10.1007/s10773-010-0446-7

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  • DOI: https://doi.org/10.1007/s10773-010-0446-7

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