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Prog. Theor. Phys. Vol. 118 No. 6 (2007) pp. 1157-1162

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Letters

Temperature-Dependent Pauli Matrix

Katsusada Morita

Department of Physics, Nagoya University, Nagoya 464-8602, Japan

(Received October 18, 2007)

Abstract:

The thermal average of magnetization of charged spin 1/2 particles is calculated in terms of a pure state. This leads to the introduction of a temperature-dependent Pauli matrix. A new Bogoliubov transformation for a spin system in thermofield dynamics is then proposed. This transformation clarifies the physical significance of the temperature-dependent Pauli matrix. Generalization to the case of arbitrary spin is straightforward.


URL : http://ptp.ipap.jp/link?PTP/118/1157/
DOI : 10.1143/PTP.118.1157

[ Full Text PDF : FREE ACCESS (120K) ] Citation:


References:

  1. Y. Takahashi and H. Umezawa, Collective Phenomena 2 (1975), 55.
  2. M. Suzuki, in Progress in Quantum Field Theory, ed. H. Ezawa and S. Kamefuchi (North-Holland Publishing, Amsterdam, 1986), p. 203.