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Revista mexicana de física

Print version ISSN 0035-001X

Rev. mex. fis. vol.54 n.6 México Dec. 2008




SU(1,1) coherent states as Bessel–Gauss states


S. Hacyan


Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20–364, México D.F. 01000, México, e–mail:


Recibido el 18 de agosto de 2008
Aceptado el 11 de noviembre de 2008



The SU(1,1) coherent states of Barut and Girardello can be interpreted as Bessel–Gauss states that are time–dependent solutions of the Schrödinger equation. In this article, some basic properties of these states and their related operators are analyzed.

Keywords: Coherent states; SU(1; 1) Barut–Girardello states.



Los estados coherentes SU(1,1) de Barut y Girardello se pueden interpretar como estados de Bessel–Gauss que son soluciones dependientes del tiempo de la ecuación de Schrödinger. En este artículo, se analizan algunas propiedades básicas de estos estados y sus operadores asociados.

Descriptores: Estados coherentes; estados SU(1,1) de Barut–Girardello.


PACS: 42.50.Dv





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