A Thermodynamic Perturbation Theory of the Anharmonic Oscillator. II : Density Matrix

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概要

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• A thermodynamic perturbation method for the quantum-anharmonic oscillator is studied, based upon the Bloch equation. By this method the density matrix (Green's function) for the anharmonic oscillator can be obtained in a compact form for each order of the pertur-bation series. It is shown that the density matrix of the anharmonic oscillator can be readily expanded in series of the Hermite polynomials. The various expressions of the expansion series for the density matrix are also derived by a unified method.

• 理論物理学刊行会の論文
• 1972-09-25

著者

• Naya Shigeo

  Department Of Physics Boston University : Faculty Of Science Kwansei Gakuin University

• SIEGEL Armand

  Department of Physics, Boston University

• Siegel Armand

  Department Of Physics Boston University

• NAYA Shigeo

  Department of Physics, Boston University : Faculty of Science, Kwansei Gakuin University

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• Order-Parameter Expansion of Free Energy and Its Application to Some Models with First and Second Order Phase Transitions
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