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A solvable model of microscopic frequency modulation

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  • Ban, Masashi
  • Arimitsu, Toshihico

Abstract

The solvable model of quantum-statistical mechanical frequency modulation, which was proposed previously by the authors, is solved exactly by rigorous treatment of the damping operator for the cases of boson and two-state irrelevant subsystems to obtain the intensity distribution and the response function for a certain operator of the relevant subsystem. The results are compared with the previous ones which were obtained within the conventional treatment of the damping operator.

Suggested Citation

  • Ban, Masashi & Arimitsu, Toshihico, 1985. "A solvable model of microscopic frequency modulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(3), pages 455-468.
    • Handle: RePEc:eee:phsmap:v:129:y:1985:i:3:p:455-468
    DOI: 10.1016/0378-4371(85)90180-3
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    References listed on IDEAS

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    1. Arimitsu, Toshihico & Takahashi, Yoshinori & Shibata, Fumiaki, 1980. "Rigorous treatment of the damping theory for coupled systems in contact with reservoirs parametric amplifier," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 100(3), pages 507-539.
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    Cited by:

    1. Arimitsu, T. & Willeboordse, H.F. & Iwasaki, T., 1992. "An analytical treatment of a localized electronphonon system in terms of non-equilibrium thermo field dynamics: Intensity distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(1), pages 214-227.
    2. Tominaga, T. & Arimitsu, T. & Pradko, J. & Umezawa, H., 1988. "A derivation of the laser master equation in terms of thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(1), pages 97-117.
    3. Arimitsu, T. & Ban, M. & Saito, T., 1991. "Stochastic Liouville equation approach within non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 329-338.
    4. Ban, Masashi, 1991. "Phase variable and phase relaxation processes in the Liouville space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 179(1), pages 103-130.

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    1. Arimitsu, T. & Ban, M. & Saito, T., 1991. "Stochastic Liouville equation approach within non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 329-338.
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    3. Arimitsu, Toschihico & Ban, Masashi & Shibata, Fumiaki, 1984. "A solvable model of microscopic frequency modulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(1), pages 131-148.
    4. Tominaga, T. & Arimitsu, T. & Pradko, J. & Umezawa, H., 1988. "A derivation of the laser master equation in terms of thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(1), pages 97-117.
    5. Arimitsu, T. & Willeboordse, H.F. & Iwasaki, T., 1992. "An analytical treatment of a localized electronphonon system in terms of non-equilibrium thermo field dynamics: Intensity distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(1), pages 214-227.
    6. Shibata, Fumiaki & Ezaki, Hiromi, 1988. "Expansion formulae for time-correlation functions and transport coefficients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(3), pages 472-506.

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