Thermo Field Dynamics and quantum algebras

Abstract

The algebraic structure of Thermo Field Dynamics lies in the $q$-deformation of the algebra of creation and annihilation operators. Doubling of the degrees of freedom, tilde-conjugation rules, and Bogoliubov transformation for bosons and fermions are recognized as algebraic properties of $h_q(1)$ and of $h_q(1|1)$, respectively.

12 pages

References in corpus (3)

• QUANTUM DISSIPATION AND QUANTUM GROUPS
• Quantum Groups and Von Neumann Theorem
• Thermal Field Dynamics and Bialgebras

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