Squeezed Coherent States in Supersymmetric Quantum Mechanics with Position-Dependent Mass
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916890380599296 |
|---|---|
| author | Takou, Daniel Sabi Boukari, Amidou Mora, Assimiou Yarou Avossevou, Gabriel Y. H. |
| author_facet | Takou, Daniel Sabi Boukari, Amidou Mora, Assimiou Yarou Avossevou, Gabriel Y. H. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07228 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Squeezed Coherent States in Supersymmetric Quantum Mechanics with Position-Dependent Mass Takou, Daniel Sabi Boukari, Amidou Mora, Assimiou Yarou Avossevou, Gabriel Y. H. Quantum Physics 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. |
| title | Squeezed Coherent States in Supersymmetric Quantum Mechanics with Position-Dependent Mass |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2508.07228 |