变形量子力学：Mathews-Lakshmanan振荡的信息熵

IF 3.3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Physica A: Statistical Mechanics and its Applications Pub Date : 2025-03-01 Epub Date: 2025-01-31 DOI:10.1016/j.physa.2025.130407

Bruno G. da Costa , Ignacio S. Gomez , Mariela Portesi

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引用次数: 0

摘要

利用κ-形式理论研究了位置相关有效质量量子系统的问题，重点研究了Mathews-Lakshmanan振子的信息熵。我们得到了基态和第一激发态的位置和波矢量表示的香农熵。进一步，解析地得到了经典和半经典信息熵；与能量的对数关系，这是与振荡器的非谐性，被报道。

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κ-deformed quantum mechanics: Information entropies for the Mathews–Lakshmanan oscillator

We study the problem of a position-dependent effective mass quantum system by means of the

κ

-formalism, focusing on the information entropies for the Mathews–Lakshmanan oscillator. We obtain the Shannon entropy in both position and wave-vector representations, for the ground and first excited states. Furthermore, the classical and semi-classical information entropies are obtained analytically; a logarithmic relationship with energy, that is linked to the anharmonicity of the oscillator, is reported.

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来源期刊

Physica A: Statistical Mechanics and its Applications 物理-物理：综合

CiteScore

7.20

自引率

9.10%

发文量

852

审稿时长

6.6 months

期刊介绍： Physica A: Statistical Mechanics and its Applications Recognized by the European Physical Society Physica A publishes research in the field of statistical mechanics and its applications. Statistical mechanics sets out to explain the behaviour of macroscopic systems by studying the statistical properties of their microscopic constituents. Applications of the techniques of statistical mechanics are widespread, and include: applications to physical systems such as solids, liquids and gases; applications to chemical and biological systems (colloids, interfaces, complex fluids, polymers and biopolymers, cell physics); and other interdisciplinary applications to for instance biological, economical and sociological systems.