Exact Quantum-Statistical Dynamics of Time-Dependent Generalized Oscillators

Physics – Quantum Physics

Scientific paper

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5 pages, 1 figure, RevTex

Scientific paper

Using linear invariant operators in a constructive way we find the most general thermal density operator and Wigner function for time-dependent generalized oscillators. The general Wigner function has five free parameters and describes the thermal Wigner function about a classical trajectory in phase space. The contour of the Wigner function depicts an elliptical orbit with a constant area moving about the classical trajectory, whose eccentricity determines the squeezing of the initial vacuum.

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