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

2025/03/29 by Daniel Sabi Takou, Takou, Daniel Sabi, Ibrahim Nonkané +6 · 2 citations
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Random lasers and scattering media

paper · pdf · doi:10.48550/arxiv.2503.23043

openalex publication_date 2025/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Squeezed Coherent States in Supersymmetric Quantum Mechanics with Position-Dependent Mass
• Thermodynamic Analysis for Harmonic Oscillator with Position-Dependent Mass

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