# QUANTUM MECHANICAL DESCRIPTION OF THERMAL EQUILIBRIUM STATES AS EIGENSTATES OF RELATIVE-PHASE INTERACTIONS

@inproceedings{Kobayashi1995QUANTUMMD, title={QUANTUM MECHANICAL DESCRIPTION OF THERMAL EQUILIBRIUM STATES AS EIGENSTATES OF RELATIVE-PHASE INTERACTIONS}, author={Tsunehiro Kobayashi}, year={1995} }

Abstract Thermal equilibrium states which satisfy the principle of equal a priori probabilities are investigated in a system composed of N oscillators, which is described by the free Hamiltonian H 0 = ϵ Σ j=1 N a j † a j . Interactions depending on the relative phases among the oscillators are introduced as H I r ([θ]) ≡ ϵ g ( N N 2 ) [ Σ k=1 N Σ j=1 N α k † (θ)α j (θ) − N −1 Σ j=1 N |0 j 〉〈0 j | ], where N = Σ j=1 N N j with N = a j † a j , αj(θ) = aj exp(−iθj) and aj|0j〉 = 0. It is shown that… CONTINUE READING

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