Thermofield Dynamics: Kinematical Symmetry Algebraic Basis

Ademir Eugenio de Santana, F. C. Khanna, H. Chu +1 more

H. Fujisaki, Koichi Nakagawa, Ikuo Shirai

The virasoro algebra at finite temperature is formulated on the basis of the thermofield dynamics of bosonic strings.

Ferdinando Mancini

Jeferson Tomazelli, G. G. Gomes

We investigate a class of microscopic systems in interaction with a macroscopic system in thermal equilibrium, following the construction of Dalibard, Dupont-Roc and Cohen-Tannoudji (DDC). By considering self-adjoint operators as elements of Schwinger's Measurement Algebra (SMA), we construct statistical mean values of the relevant observables as matrix elements in a suitable operator basis, which correspond to the vacuum states of ThermoField Dynamics (TFD).

Jorge Krause

A formalism of quantum kinematics which rests on the regular representation of a Lie group is proposed. This representation leads to explicit canonical commutation relations for non-Abelian dynamical variables which, together with the Lie algebra, define the kinematic algebra. Generalised equations of motion for the group-parameter-dependent operators, as well as generalised wave equations, are introduced over the group manifold considered as a background arena. The formalism proposed affords a method of geometric quantisation stemming directly from the observed symmetries of a system.