Squeezed Coherent States in Supersymmetric Quantum Mechanics with Position-Dependent Mass

• URL: http://arxiv.org/abs/2508.07228v1
• Date: Sun, 10 Aug 2025 08:13:15 GMT
• Title: Squeezed Coherent States in Supersymmetric Quantum Mechanics with Position-Dependent Mass
• Authors: Daniel Sabi Takou, Amidou Boukari, Assimiou Yarou Mora, Gabriel Y. H. Avossevou,
• Abstract summary: We construct and analyze a class of squeezed coherent states within the framework of supersymmetric quantum mechanics.<n>The resulting states exhibit non-classical features, such as squeezing, coherence, and modified uncertainty relations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we construct and analyze a class of squeezed coherent states within the framework of supersymmetric quantum mechanics (SUSYQM) involving a position-dependent mass (PDM). Using a deformed algebraic structure, we generalize the creation and annihilation operators to accommodate spatially varying mass profiles. The resulting states exhibit non-classical features, such as squeezing, coherence, and modified uncertainty relations, strongly influenced by both the deformation parameters and the mass function. We explore their physical properties through expectation values, variances, and probability densities. This work provides a pathway toward extending coherent state theory to more complex quantum systems with geometrical and algebraic richness.

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