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

Sang Pyo Kim
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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 $Δq Δp = \hbar σ_0/2$, where $σ_0 (\geq 1)$ 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.

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Sang Pyo Kim. 2003-08-30. Squeezed States of the Generalized Minimum Uncertainty State for the Caldirola-Kanai Hamiltonian. https://doi.org/10.1088/0305-4470/36/48/011

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