Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Smoothed Wigner functions: A tool to resolve semiclassical structures |
Autor: | Rivas, A.M.F.; Vergini, E.G.; Wisniacki, D.A. |
Filiación: | Departamento de Física, Comn. Nac. de Ener. Atómica, Av. del Libertador 8250, 1429 Buenos Aires, Argentina Instituto de Ciencias, Univ. Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines Prov. Buenos Aires, Argentina Depto. de Fís. J.J. Giambiagi, FCEN, Ciudad Universitaria, 1428 Buenos Aires, Argentina
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Año: | 2005
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Volumen: | 32
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Número: | 3
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Página de inicio: | 355
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Página de fin: | 359
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DOI: |
http://dx.doi.org/10.1140/epjd/e2004-00189-8 |
Título revista: | European Physical Journal D
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Título revista abreviado: | Eur. Phys. J. D
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ISSN: | 14346060
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346060_v32_n3_p355_Rivas |
Referencias:
- Gutzwiller, M.C., (1990) Chaos in Classical and Quantum Mechanics, , Springer-Verlag, NY
- Balazs, N.L., Jennings, B.K., (1984) Phys. Rep., 104, p. 348
- Berry, M.V., Tabor, M., (1977) J. Phys. A: Math. Gen., 10, p. 371
- Tualle, J.M., Voros, A., (1995) Chaos Solitons, Fractals, 5, p. 1085
- Zurek, W.H., (2001) Nature, 412, p. 712
- Karkuszewski, Z.P., Jarzynski, C., Zurek, W.H., (2002) Phys. Rev. Lett., 89, p. 170405
- Wisniacki, D.A., (2003) Phys. Rev. E, 67, p. 016205
- Rivas, A.M.F., Ozorio De Almeida, A.M., (2002) Nonlinearity, 15, p. 681
- Cahill, K.E., Glauber, R.J., (1969) Phys. Rev., 177, p. 1856
- (1969) Phys. Rev., 177, p. 1969
- Fiuráŝek, J., (2000) Phys. Rev. A, 62, p. 013822
- Heller, E.J., (1984) Phys. Rev. Lett., 53, p. 1515
- Kaplan, L., (1999) Nonlinearity, 12, pp. R1
- Rivas, A.M.F., in preparation; note; Ozorio De Almeida, A.M., (1998) Phys. Rep., 295, p. 265
- Perelomov, A., (1986) Generalized Coherent States and Their Applications, , Springer, New York
- Berezin, F.A., (1980) Sov. Phys. Usp., 132, p. 497
- Bargmann, V., (1970) Analytic Methods in Mathematical Physics, 74. , Gordon and Breach, New York
- Bunimovich, L.A., (1974) Funct. Anal. Appl., 8, p. 254
- Huibers, A.G., (1999) Phys. Rev. Lett., 83, p. 5090
- Switkes, M., Marcus, C.M., Campman, K., Gossard, A.C., (1999) Science, 283, p. 1905
- note; Vergini, E.G., (2000) J. Phys. A: Math. Gen., 33, p. 4709
- Vergini, E.G., (2004) J. Phys. A: Math. Gen., 37, p. 6507
- Brodier, O., Ozorio De Almeida, A.M., (2004) Phys. Rev. E, 69, p. 016204
- García-Mata, I., Saraceno, M., Spina, M.E., (2003) Phys. Rev. Lett., 91, p. 064101
Citas:
---------- APA ----------
Rivas, A.M.F., Vergini, E.G. & Wisniacki, D.A.
(2005)
. Smoothed Wigner functions: A tool to resolve semiclassical structures. European Physical Journal D, 32(3), 355-359.
http://dx.doi.org/10.1140/epjd/e2004-00189-8---------- CHICAGO ----------
Rivas, A.M.F., Vergini, E.G., Wisniacki, D.A.
"Smoothed Wigner functions: A tool to resolve semiclassical structures"
. European Physical Journal D 32, no. 3
(2005) : 355-359.
http://dx.doi.org/10.1140/epjd/e2004-00189-8---------- MLA ----------
Rivas, A.M.F., Vergini, E.G., Wisniacki, D.A.
"Smoothed Wigner functions: A tool to resolve semiclassical structures"
. European Physical Journal D, vol. 32, no. 3, 2005, pp. 355-359.
http://dx.doi.org/10.1140/epjd/e2004-00189-8---------- VANCOUVER ----------
Rivas, A.M.F., Vergini, E.G., Wisniacki, D.A. Smoothed Wigner functions: A tool to resolve semiclassical structures. Eur. Phys. J. D. 2005;32(3):355-359.
http://dx.doi.org/10.1140/epjd/e2004-00189-8