Squeezed States of the Generalized Minimum Uncertainty State for the Caldirola-Kanai Hamiltonian

Abstract

We show that the ground state of the well-known pseudo-stationary states for the Caldirola-Kanai Hamiltonian is a generalized minimum uncertainty state, which has the minimum allowed uncertainty $\Delta q\Delta p=\hslash {\sigma }_0/2$, where ${\sigma }_0(\ge 1)$ is a constant depending on the damping factor and natural frequency. The most general symmetric Gaussian states are obtained as the one-parameter squeezed states of the pseudo-stationary ground state. It is further shown that the coherent states of the pseudo-stationary ground state constitute another class of the generalized minimum uncertainty states.

RevTex4, 9 pages, no fingure; to be published in Journal of Physics A

References in corpus (1)

• Classical and Quantum Action-Phase Variables for Time-Dependent Oscillators

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