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: | , , |
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| Publicado: |
2005
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| 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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| Sumario: | 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. |
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