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dc.contributor.author
da Costa, Bruno G.
dc.contributor.author
Gomez, Ignacio S.
dc.contributor.author
Portesi, Mariela Adelina
dc.date.available
2022-12-15T13:16:29Z
dc.date.issued
2020-08
dc.identifier.citation
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
dc.identifier.issn
0022-2488
dc.identifier.uri
http://hdl.handle.net/11336/181280
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Physics
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
POSITION-DEPENDENT MASS
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KAPPA-DEFORMED SCHRODINGER EQUATION
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INFINITE POTENTIAL WELL
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MATTHEWS-LAKSHMANAN OSCILLATOR
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Otras Ciencias Físicas
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
κ -Deformed quantum and classical mechanics for a system with position-dependent effective mass
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-12-15T10:30:31Z
dc.identifier.eissn
1089-7658
dc.journal.volume
61
dc.journal.number
8
dc.journal.pagination
1-18
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: da Costa, Bruno G.. Instituto Federal de Educação, Ciência e Tecnologia do Sertão Pernambucano; Brasil
dc.description.fil
Fil: Gomez, Ignacio S.. Universidade Federal da Bahia; Brasil
dc.description.fil
Fil: Portesi, Mariela Adelina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
dc.journal.title
Journal of Mathematical Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/full/10.1063/5.0014553
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1063/5.0014553
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