<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective mass
- Autores
- Costa, Bruno G. da; Gómez, Ignacio Sebastián; Portesi, Mariela Adelina
- Año de publicación
- 2020
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Instituto de Física La Plata - Materia
- Física
- Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/124159
Ver los metadatos del registro completo
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<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective massCosta, Bruno G. daGómez, Ignacio SebastiánPortesi, Mariela AdelinaFísicaWe 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.Instituto de Física La Plata2020-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/124159enginfo:eu-repo/semantics/altIdentifier/issn/0022-2488info:eu-repo/semantics/altIdentifier/issn/1089-7658info:eu-repo/semantics/altIdentifier/arxiv/2007.11184info:eu-repo/semantics/altIdentifier/doi/10.1063/5.0014553info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:21:23Zoai:sedici.unlp.edu.ar:10915/124159Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:21:23.301SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective mass |
| title |
<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective mass |
| spellingShingle |
<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective mass Costa, Bruno G. da Física |
| title_short |
<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective mass |
| title_full |
<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective mass |
| title_fullStr |
<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective mass |
| title_full_unstemmed |
<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective mass |
| title_sort |
<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective mass |
| dc.creator.none.fl_str_mv |
Costa, Bruno G. da Gómez, Ignacio Sebastián Portesi, Mariela Adelina |
| author |
Costa, Bruno G. da |
| author_facet |
Costa, Bruno G. da Gómez, Ignacio Sebastián Portesi, Mariela Adelina |
| author_role |
author |
| author2 |
Gómez, Ignacio Sebastián Portesi, Mariela Adelina |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Física |
| topic |
Física |
| dc.description.none.fl_txt_mv |
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. Instituto de Física La Plata |
| description |
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. |
| publishDate |
2020 |
| dc.date.none.fl_str_mv |
2020-08-01 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/124159 |
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http://sedici.unlp.edu.ar/handle/10915/124159 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
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info:eu-repo/semantics/altIdentifier/issn/0022-2488 info:eu-repo/semantics/altIdentifier/issn/1089-7658 info:eu-repo/semantics/altIdentifier/arxiv/2007.11184 info:eu-repo/semantics/altIdentifier/doi/10.1063/5.0014553 |
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openAccess |
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