Gazeau-Klauder coherent states for a harmonic position-dependent mass
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915222787194880 |
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| author | Takou, Daniel Sabi Mora, Assimiou Yarou Nonkané, Ibrahim Lawson, Latévi M. Avossevou, Gabriel Y. H. |
| author_facet | Takou, Daniel Sabi Mora, Assimiou Yarou Nonkané, Ibrahim Lawson, Latévi M. Avossevou, Gabriel Y. H. |
| contents | In this paper, we study the dynamic of position-dependent mass system confined in harmonic
oscillator potential. We derive the eigensystems by solving the Schr\''odinger-like equation which
describes this system. We construct coherent states a Gazeau-Klauder for this system. We
show that these states satisfy the Klauder's mathematical condition to build coherent states. We
compute and analyse 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23043 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gazeau-Klauder coherent states for a harmonic position-dependent mass Takou, Daniel Sabi Mora, Assimiou Yarou Nonkané, Ibrahim Lawson, Latévi M. Avossevou, Gabriel Y. H. Quantum Physics Mathematical Physics In this paper, we study the dynamic of position-dependent mass system confined in harmonic oscillator potential. We derive the eigensystems by solving the Schr\''odinger-like equation which describes this system. We construct coherent states a Gazeau-Klauder for this system. We show that these states satisfy the Klauder's mathematical condition to build coherent states. We compute and analyse 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. |
| title | Gazeau-Klauder coherent states for a harmonic position-dependent mass |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2503.23043 |