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

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

Physica A: Statistical Mechanics and its Applications, 2025, vol. 661, issue C

Abstract: 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.

Keywords: Position-dependent mass systems; Entropy information; Bialynicki-Birula and Mycielski inequality; Shannon entropy for Rydberg states (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:661:y:2025:i:c:s0378437125000597

DOI: 10.1016/j.physa.2025.130407

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