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Generating functional methods in non-equilibrium thermo field dynamics

Author

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  • Arimitsu, T.
  • Pradko, J.
  • Umezawa, H.

Abstract

The generating functional formulation of non-equilibrium thermo field dynamics (NETFD) is given. The results are compared with those obtained by Schwinger who introduced the forward and backward time axes in order to include the dissipation effect. The relation of NETFD to other closed time-path formalisms is also given. As NETFD is an operator formalism of quantum field theory for non-equilibrium situations, one can say that the usual Green's function formalisms are well founded by NETFD through the comparison given in this paper.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:135:y:1986:i:2:p:487-504
    DOI: 10.1016/0378-4371(86)90155-X
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    Citations

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    Cited by:

    1. Arimitsu, Toshihico, 1988. "Kinetic equations within the formalism of non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(3), pages 427-455.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Tominaga, T. & Ban, M. & Arimitsu, T. & Pradko, J. & Umezawa, H., 1988. "Spin relaxation in terms of thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(1), pages 26-48.

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