CHINESE JOURNAL OF PHYSICS VOL. 39, NO. 6 DECEMBER 2001

Quantum Mechanics in Phase Space: Squeezed States

A. Zúñiga-Segundo¹ and J. L. López-Bonilla<sup>2

1</sup>Instituto Politécnico Nacional, Departamento de Física, Escuela Superior de Física y Matemáticas

Edificio 9, Unidad Profesional `Adolfo López Mateos', 07738 México, D.F., México
²Instituto Politécnico Nacional, Sección de Estudios de Posgrado e Investigación

Escuela Superior de Ingeniería Mecánica y Eléctrica

Edificio Z-4, 3^er piso. Col. Lindavista, 07738 México, D.F., México
(Received March 26, 2001)

We introduce squeezed states with real and complex parameters directly in the coherent-state representation of the harmonic oscillator in phase space. Afterwards, we compare these squeezed states with those represented in the coordinate picture. We also show that the time evolution in quantum phase space, obtaining in this manner provide a way to compare our results with those given by the Wigner method.

PACS. 03.65.-w - Quantum mechanics.
PACS. 42.50.Dv - Nonclassical field states; squeezed, antibunched, and sub-Poissonian states;
operational definitions of the phase of the field; phase measurements.

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