An Algebraic Model for Quantum Unstable States

In this review, we present a rigorous construction of an algebraic method for quantum unstable states, also called Gamow states. A traditional picture associates these states to vectors states called Gamow vectors. However, this has some difficulties. In particular, there is no consistent definition...

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Autores principales: Fortin, Sebastian, Gadella, Manuel, Holik, Federico Hernán, Jorge, Juan Pablo, Losada, Marcelo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2022
Materias:
Matemática
Física
Gamow states
algebras of observables
time evolution of states
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/156302
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-156302
record_format dspace
spelling I19-R120-10915-1563022023-08-14T20:08:12Z http://sedici.unlp.edu.ar/handle/10915/156302 An Algebraic Model for Quantum Unstable States Fortin, Sebastian Gadella, Manuel Holik, Federico Hernán Jorge, Juan Pablo Losada, Marcelo 2022 2023-08-14T18:02:23Z en Matemática Física Gamow states algebras of observables time evolution of states In this review, we present a rigorous construction of an algebraic method for quantum unstable states, also called Gamow states. A traditional picture associates these states to vectors states called Gamow vectors. However, this has some difficulties. In particular, there is no consistent definition of mean values of observables on Gamow vectors. In this work, we present Gamow states as functionals on algebras in a consistent way. We show that Gamow states are not pure states, in spite of their representation as Gamow vectors. We propose a possible way out to the construction of averages of observables on Gamow states. The formalism is intended to be presented with sufficient mathematical rigor. Instituto de Física La Plata Articulo Articulo http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Física
Gamow states
algebras of observables
time evolution of states
spellingShingle Matemática
Física
Gamow states
algebras of observables
time evolution of states
Fortin, Sebastian
Gadella, Manuel
Holik, Federico Hernán
Jorge, Juan Pablo
Losada, Marcelo
An Algebraic Model for Quantum Unstable States
topic_facet Matemática
Física
Gamow states
algebras of observables
time evolution of states
description In this review, we present a rigorous construction of an algebraic method for quantum unstable states, also called Gamow states. A traditional picture associates these states to vectors states called Gamow vectors. However, this has some difficulties. In particular, there is no consistent definition of mean values of observables on Gamow vectors. In this work, we present Gamow states as functionals on algebras in a consistent way. We show that Gamow states are not pure states, in spite of their representation as Gamow vectors. We propose a possible way out to the construction of averages of observables on Gamow states. The formalism is intended to be presented with sufficient mathematical rigor.
format Articulo
Articulo
author Fortin, Sebastian
Gadella, Manuel
Holik, Federico Hernán
Jorge, Juan Pablo
Losada, Marcelo
author_facet Fortin, Sebastian
Gadella, Manuel
Holik, Federico Hernán
Jorge, Juan Pablo
Losada, Marcelo
author_sort Fortin, Sebastian
title An Algebraic Model for Quantum Unstable States
title_short An Algebraic Model for Quantum Unstable States
title_full An Algebraic Model for Quantum Unstable States
title_fullStr An Algebraic Model for Quantum Unstable States
title_full_unstemmed An Algebraic Model for Quantum Unstable States
title_sort algebraic model for quantum unstable states
publishDate 2022
url http://sedici.unlp.edu.ar/handle/10915/156302
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AT gadellamanuel analgebraicmodelforquantumunstablestates
AT holikfedericohernan analgebraicmodelforquantumunstablestates
AT jorgejuanpablo analgebraicmodelforquantumunstablestates
AT losadamarcelo analgebraicmodelforquantumunstablestates
AT fortinsebastian algebraicmodelforquantumunstablestates
AT gadellamanuel algebraicmodelforquantumunstablestates
AT holikfedericohernan algebraicmodelforquantumunstablestates
AT jorgejuanpablo algebraicmodelforquantumunstablestates
AT losadamarcelo algebraicmodelforquantumunstablestates
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