A Boson System Interacting with an External Harmonic Oscillator. A Possible Description of Statistically Mixed State.

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  • Boson System Interacting with an External Harmonic Oscillator A Possible Description of Statistically Mixed State

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A method for describing a boson system interacting with an external harmonic oscillator, which was proposed recently by the present authors, is extended to the case of a statistically mixed state. The basic idea comes from the su(2,1)-boson model, the general form of which was recently investigated by the present authors. In terms of the interweaving of the phase space doubling and the su(1,1)-spin-like behavior in the su(2)-spin system, the extension is performed in the framework of a canonical form of classical mechanics. The results obtained with regard to the present idea are interpreted from various viewpoints, for example, in relation to linear response theory of non-equilibrium statistical mechanics.

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