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Pseudoharmonic oscillator and their associated Gazeau–Klauder coherent states

Author

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  • Popov, Dušan
  • Sajfert, Vjekoslav
  • Zaharie, Ioan

Abstract

In the paper we have constructed and examined the properties of the Gazeau–Klauder coherent states (GK-CSs) for the pseudoharmonic oscillator (PHO), one of three possible kinds in order to define the coherent states for this oscillator potential. In the second part, we have examined some nonclassical properties of these states. Our attention has been concentrated on the mixed states (thermal states). The diagonal P-representation of the corresponding density operator and some thermal expectations for the quantum canonical ideal gas of pseudoharmonic oscillators have also been examined. Like the CSs for the harmonic oscillator (HO), the GK-CSs for the PHO can be useful in the quantum information theory (QIT).

Suggested Citation

  • Popov, Dušan & Sajfert, Vjekoslav & Zaharie, Ioan, 2008. "Pseudoharmonic oscillator and their associated Gazeau–Klauder coherent states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4459-4474.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:16:p:4459-4474
    DOI: 10.1016/j.physa.2008.02.062
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    References listed on IDEAS

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    1. Polterovich, Victor & Popov, Vladimir, 2006. "Эволюционная Теория Экономической Политики: Часть I: Опыт Быстрого Развития [An Evolutionary Theory of Economic Policy: Part I: The Experience of Fast Development]," MPRA Paper 22168, University Library of Munich, Germany.
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