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Nota de FísicaPublicado

Geometrical Approach to the Distribution of the Zeroes for the Husimi Function

F. Toscano; A. M. Ozorio de Almeida

1999

Datos de la publicación

Autores
F. Toscano; A. M. Ozorio de Almeida
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
1999
Descripción
We construct a semiclassical expression for the Husimi function of autonomous systems in one degree of freedom, by smoothing with a Gaussian function an expression that captures the essential features of the Wigner function in the semiclassical limit. Our approximation reveals the ''"center and chord"'' structure that the Husimi function inherits from the Wigner function, down to very shallow ''valleys'', where lie the Husimi zeroes.This explanation for the distribution of zeroes along curves relies on the geometry of the classical torus, rather than the complex analytic properties of the WKB method in the Bargmann representation.We evaluate the zeroes for several examples.
Año
1999
Número
CBPF-NF-007/99
Vínculo con tesis
No
Vínculo con beca
No
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