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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todo:paper_14346060_v32_n3_p355_Rivas2023-10-03T16:15:40Z Smoothed Wigner functions: A tool to resolve semiclassical structures Rivas, A.M.F. Vergini, E.G. Wisniacki, D.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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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. |
| format |
JOUR |
| author |
Rivas, A.M.F. Vergini, E.G. Wisniacki, D.A. |
| spellingShingle |
Rivas, A.M.F. Vergini, E.G. Wisniacki, D.A. Smoothed Wigner functions: A tool to resolve semiclassical structures |
| author_facet |
Rivas, A.M.F. Vergini, E.G. Wisniacki, D.A. |
| author_sort |
Rivas, A.M.F. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_14346060_v32_n3_p355_Rivas |
| work_keys_str_mv |
AT rivasamf smoothedwignerfunctionsatooltoresolvesemiclassicalstructures AT verginieg smoothedwignerfunctionsatooltoresolvesemiclassicalstructures AT wisniackida smoothedwignerfunctionsatooltoresolvesemiclassicalstructures |
| _version_ |
1807320278284369920 |