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2007•Progress of Theoretical PhysicsRequires access

Temperature-Dependent Pauli Matrix

K. Morita

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Physics, Pauli exclusion principle, Pauli matrices, Generalization, Spin (aerodynamics), Matrix (chemical analysis), Transformation (genetics), Thermal

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