$\kappa$-Deformed quantum and classical mechanics for a system with position-dependent effective mass

• URL: http://arxiv.org/abs/2007.11184v1
• Date: Wed, 22 Jul 2020 03:32:46 GMT
• Title: $\kappa$-Deformed quantum and classical mechanics for a system with position-dependent effective mass
• Authors: Bruno G. da Costa, Ignacio S. Gomez and Mariela Portesi
• Abstract summary: We present formalisms for a particle with position-dependent mass in $kappa$-algebra, motivated by the Kappa-statistics. We illustrate the formalism with a particle confined in an infinite potential well and the Mathews-Lakshmanan oscillator, exhibiting uncertainty relations depending on the deformation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present the quantum and classical mechanics formalisms for a particle with position-dependent mass in the context of a deformed algebraic structure (named $\kappa$-algebra), motivated by the Kappa-statistics. From this structure we obtain deformed versions of the position and momentum operators, which allow to define a point canonical transformation that maps a particle with constant mass in a deformed space into a particle with position-dependent mass in the standard space. We illustrate the formalism with a particle confined in an infinite potential well and the Mathews-Lakshmanan oscillator, exhibiting uncertainty relations depending on the deformation.

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