Artículo
κ -Deformed quantum and classical mechanics for a system with position-dependent effective mass
Fecha de publicación:
08/2020
Editorial:
American Institute of Physics
Revista:
Journal of Mathematical Physics
ISSN:
0022-2488
e-ISSN:
1089-7658
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We present the quantum and classical mechanics formalisms for a particle with a position-dependent mass in the context of a deformed algebraic structure (named κ-algebra), motivated by the Kappa-statistics. From this structure, we obtain deformed versions of the position and momentum operators, which allow us to define a point canonical transformation that maps a particle with a constant mass in a deformed space into a particle with a 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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Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA
Articulos de INST.DE FISICA LA PLATA
Citación
da Costa, Bruno G.; Gomez, Ignacio S.; Portesi, Mariela Adelina; κ -Deformed quantum and classical mechanics for a system with position-dependent effective mass; American Institute of Physics; Journal of Mathematical Physics; 61; 8; 8-2020; 1-18
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