Smoothed Wigner functions: A tool to resolve semiclassical structures

The Wigner and Husimi distributions are the usual phase space representations of a quantum state. The Wigner distribution has structures of order ℏ2. On the other hand, the Husimi distribution is a Gaussian smearing of the Wigner function on an area of size ℏ and then, it only displays structures of...

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Autores principales: Rivas, Alejandro Mariano Fidel, Vergini, Eduardo Germán, Wisniacki, Diego A.
Publicado: 2005
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346060_v32_n3_p355_Rivas
http://hdl.handle.net/20.500.12110/paper_14346060_v32_n3_p355_Rivas
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_14346060_v32_n3_p355_Rivas
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spelling paper:paper_14346060_v32_n3_p355_Rivas2023-06-08T16:15:29Z Smoothed Wigner functions: A tool to resolve semiclassical structures Rivas, Alejandro Mariano Fidel Vergini, Eduardo Germán Wisniacki, Diego A. The Wigner and Husimi distributions are the usual phase space representations of a quantum state. The Wigner distribution has structures of order ℏ2. On the other hand, the Husimi distribution is a Gaussian smearing of the Wigner function on an area of size ℏ and then, it only displays structures of size ℏ. We have developed a phase space representation which results a Gaussian smearing of the Wigner function on an area of size ℏσ, with σ ≥ 1. Within this representation, the Husimi and Wigner functions are recovered when σ = 1 and σ ≳ 2 respectively. We treat the application of this intermediate representation to explore the semiclassical limit of quantum mechanics. In particular we show how this representation uncover semiclassical hyperbolic structures of chaotic eigenstates. © EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2004. Fil:Rivas, A.M.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Vergini, E.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346060_v32_n3_p355_Rivas http://hdl.handle.net/20.500.12110/paper_14346060_v32_n3_p355_Rivas
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The Wigner and Husimi distributions are the usual phase space representations of a quantum state. The Wigner distribution has structures of order ℏ2. On the other hand, the Husimi distribution is a Gaussian smearing of the Wigner function on an area of size ℏ and then, it only displays structures of size ℏ. We have developed a phase space representation which results a Gaussian smearing of the Wigner function on an area of size ℏσ, with σ ≥ 1. Within this representation, the Husimi and Wigner functions are recovered when σ = 1 and σ ≳ 2 respectively. We treat the application of this intermediate representation to explore the semiclassical limit of quantum mechanics. In particular we show how this representation uncover semiclassical hyperbolic structures of chaotic eigenstates. © EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2004.
author Rivas, Alejandro Mariano Fidel
Vergini, Eduardo Germán
Wisniacki, Diego A.
spellingShingle Rivas, Alejandro Mariano Fidel
Vergini, Eduardo Germán
Wisniacki, Diego A.
Smoothed Wigner functions: A tool to resolve semiclassical structures
author_facet Rivas, Alejandro Mariano Fidel
Vergini, Eduardo Germán
Wisniacki, Diego A.
author_sort Rivas, Alejandro Mariano Fidel
title Smoothed Wigner functions: A tool to resolve semiclassical structures
title_short Smoothed Wigner functions: A tool to resolve semiclassical structures
title_full Smoothed Wigner functions: A tool to resolve semiclassical structures
title_fullStr Smoothed Wigner functions: A tool to resolve semiclassical structures
title_full_unstemmed Smoothed Wigner functions: A tool to resolve semiclassical structures
title_sort smoothed wigner functions: a tool to resolve semiclassical structures
publishDate 2005
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346060_v32_n3_p355_Rivas
http://hdl.handle.net/20.500.12110/paper_14346060_v32_n3_p355_Rivas
work_keys_str_mv AT rivasalejandromarianofidel smoothedwignerfunctionsatooltoresolvesemiclassicalstructures
AT verginieduardogerman smoothedwignerfunctionsatooltoresolvesemiclassicalstructures
AT wisniackidiegoa smoothedwignerfunctionsatooltoresolvesemiclassicalstructures
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