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Squeezed Coherent States in Supersymmetric Quantum Mechanics with Position-Dependent Mass
Daniel Sabi Takou, Amidou Boukari, Assimiou Yarou Mora, Gabriel Y. H. Avossevou
https://arxiv.org/abs/2508.07228

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