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Stochastic Liouville equation approach within non-equilibrium thermo field dynamics

Author

Listed:
  • Arimitsu, T.
  • Ban, M.
  • Saito, T.

Abstract

The development of non-equilibrium thermo field dynamics, called NETFD in abbreviation, was started in 1983 based on the damping theory in Liouville space. It has progressed considerably since then. Especially, the structural similarity between the framework of NETFD and the framework of the usual quantum field theory was revealed. In this paper, we will show that, within the formalism of NETFD, the quantum Langevin equation and the quantum stochastic Liouville equation approach are also feasible for the construction of the quantum field theory for open systems.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:177:y:1991:i:1:p:329-338
    DOI: 10.1016/0378-4371(91)90170-H
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Arimitsu, T. & Umezawa, H. & Yamanaka, Y. & Papastamatiou, N.J., 1988. "Spontaneous creation of dissipation in thermo field dynamics and its examples," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 27-45.
    4. Arimitsu, T. & Pradko, J. & Umezawa, H., 1986. "Generating functional methods in non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 487-504.
    5. Arimitsu, T. & Sudo, Y. & Umezawa, H., 1987. "Dynamical rearrangement of the thermal vacuum in thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 146(3), pages 433-451.
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