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<p>In this paper, we study the dynamic of a position-dependent mass system confined in harmonic oscillator potential. We derive the eigensystems by solving the Schrödinger-like equation which describes this system. We construct coherent states à la Gazeau-Klauder for this system. We show that these states satisfy the Klauder’s mathematical condition to build coherent states. We compute and analyze some statistical properties of these states. We find that these states exhibit sub-Poissonian statistics. We also evaluate quasiprobability distributions such as the Wigner function to demonstrate graphically nonclassical features of these states.</p>

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Gazeau-Klauder coherent states for a harmonic position-dependent mass

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • Daniel Sabi Takou,
  • Assimiou Yarou Mora,
  • Ibrahim Nonkané,
  • Latévi M. Lawson,
  • Gabriel Y. H. Avossevou

摘要

In this paper, we study the dynamic of a position-dependent mass system confined in harmonic oscillator potential. We derive the eigensystems by solving the Schrödinger-like equation which describes this system. We construct coherent states à la Gazeau-Klauder for this system. We show that these states satisfy the Klauder’s mathematical condition to build coherent states. We compute and analyze some statistical properties of these states. We find that these states exhibit sub-Poissonian statistics. We also evaluate quasiprobability distributions such as the Wigner function to demonstrate graphically nonclassical features of these states.