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

IF 2.5 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

Journal of Computational Electronics Pub Date : 2025-09-30 DOI:10.1007/s10825-025-02431-1

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

引用次数: 0

Abstract

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.

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调和位置相关质量的加泽-克劳德相干态

本文研究了受谐振子势约束的位置相关质量系统的动力学问题。我们通过求解描述该系统的Schrödinger-like方程推导出特征系统。我们用Gazeau-Klauder构造了这个系统的相干态。我们证明了这些状态满足建立相干态的克劳德数学条件。我们计算并分析了这些状态的一些统计性质。我们发现这些状态表现出亚泊松统计。我们还评估了准概率分布，如Wigner函数，以演示这些状态的图形非经典特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational Electronics ENGINEERING, ELECTRICAL & ELECTRONIC-PHYSICS, APPLIED

CiteScore

4.50

自引率

4.80%

发文量

142

审稿时长

>12 weeks

期刊介绍： he Journal of Computational Electronics brings together research on all aspects of modeling and simulation of modern electronics. This includes optical, electronic, mechanical, and quantum mechanical aspects, as well as research on the underlying mathematical algorithms and computational details. The related areas of energy conversion/storage and of molecular and biological systems, in which the thrust is on the charge transport, electronic, mechanical, and optical properties, are also covered. In particular, we encourage manuscripts dealing with device simulation; with optical and optoelectronic systems and photonics; with energy storage (e.g. batteries, fuel cells) and harvesting (e.g. photovoltaic), with simulation of circuits, VLSI layout, logic and architecture (based on, for example, CMOS devices, quantum-cellular automata, QBITs, or single-electron transistors); with electromagnetic simulations (such as microwave electronics and components); or with molecular and biological systems. However, in all these cases, the submitted manuscripts should explicitly address the electronic properties of the relevant systems, materials, or devices and/or present novel contributions to the physical models, computational strategies, or numerical algorithms.