A framework for nonrelativistic isotropic models based on generalized uncertainty principles.

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorGomes, André Herkenhoff-
Data de aceite: dc.date.accessioned2025-08-21T15:37:05Z-
Data de disponibilização: dc.date.available2025-08-21T15:37:05Z-
Data de envio: dc.date.issued2023-08-17-
Data de envio: dc.date.issued2023-08-17-
Data de envio: dc.date.issued2022-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/jspui/handle/123456789/17235-
Fonte completa do material: dc.identifierhttps://iopscience.iop.org/article/10.1088/1751-8121/acb517-
Fonte completa do material: dc.identifierhttps://doi.org/10.1088/1751-8121/acb517-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1019867-
Descrição: dc.descriptionThe existence of a fundamental length scale in nature is a common prediction of distinct quantum gravity models. Discovery of such would profoundly change current knowledge of quantum phenomena and modifications to the Heisenberg uncertainty principle may be expected. Despite the attention given to this possibility in the past decades, there has been no common framework for a systematic investigation of so-called generalized uncertainty principles (GUP). In this work we provide such a framework in the context of nonre- lativistic quantum mechanics. Our approach is based on very few assumptions: there is a fundamental length scale, space isotropy, invariance under parity and time reversal transformations, and symmetricity of the position and momentum operators. We show that simple dimensional analysis allows building a common framework for isotropic models based on GUP (we call those iGUP models). We discuss some popular GUP models in this context after elaborating on rel- evant theoretical aspects of the framework. At last, we translate current bounds on three often investigated GUP models into bounds on parameters of such common iGUP framework.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectQuantum gravity phenomenology-
Palavras-chave: dc.subjectMinimal length-
Palavras-chave: dc.subjectQuantum mechanics-
Título: dc.titleA framework for nonrelativistic isotropic models based on generalized uncertainty principles.-
Aparece nas coleções:Repositório Institucional - UFOP

Não existem arquivos associados a este item.