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

TL;DR

This paper develops a new class of squeezed coherent states within supersymmetric quantum mechanics that incorporates position-dependent mass, revealing unique non-classical properties influenced by system deformation and mass profiles.

Contribution

It introduces a generalized algebraic framework for constructing squeezed coherent states in PDM systems within SUSYQM, expanding the scope of coherent state theory.

Findings

States exhibit squeezing and coherence influenced by deformation parameters.

Modified uncertainty relations are derived for the new states.

Physical properties are analyzed through expectation values and probability densities.

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.