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Generalizations of the thermal Bogoliubov transformation

Author

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  • Elmfors, P.
  • Umezawa, H.

Abstract

The thermal Bogoliubov transformation in thermo field dynamics is generalized in two respects. First, a generalization of the α-degree of freedom to tilde non-conserving representations is considered. Secondly, the usual 2×2 Bogoliubov matrix is extended to a 4×4 matrix including mixing of modes with non-trivial multiparticle correlations. The analysis is carried out both for bosons and fermions.

Suggested Citation

  • Elmfors, P. & Umezawa, H., 1994. "Generalizations of the thermal Bogoliubov transformation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 202(3), pages 577-594.
    • Handle: RePEc:eee:phsmap:v:202:y:1994:i:3:p:577-594
    DOI: 10.1016/0378-4371(94)90480-4
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    References listed on IDEAS

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    1. Henning, Peter A. & Graf, Martin & Matthäus, Frank, 1992. "The geometry of the thermal quasi-particle transformation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(3), pages 489-508.
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    Cited by:

    1. Oyama, T. & Nakamura, Y. & Yamanaka, Y., 2022. "4 × 4-matrix transformation for systems with spontaneous symmetry breakdown and self-consistent renormalization in nonequilibrium Thermo Field Dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).

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