Independent oscillator model of a heat bath: Exact diagonalization of the Hamiltonian

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Independent Oscillator Model of a Heat Bath: Exact Diagonalization of the Hamiltonian

The problem of a quantum oscillator coupled to an independent-oscillator model of a heat bath is discussed. The transformation to normal coordinates is explicitly constructed using the method of Ullersma. With this transformation an alternative derivation of an exact formula for the oscillator free energy is constructed. The various contributions to the oscillator energy are calculated, with th...

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ژورنال

عنوان ژورنال: Journal of Statistical Physics

سال: 1988

ISSN: 0022-4715,1572-9613

DOI: 10.1007/bf01011565