Generalized Coherent States in Thermal Field Dynamics in the Frame of Diagonal Ordering Operator Technique

Source abstract

Although the thermofield dynamics (TFD) was developed specifically for systems to which the ladder canonical operators are associated, in the paper we showed that this approach can also be formulated for systems of deformed bosons, associated with a pair of deformed operators. In this context we built sets of temperature dependent coherent states, both of the Barut-Girardello and of the Klauder-Perelomov type, these two types being dual to each other. In calculations involving ladder operators, both independent and temperature-dependent, we used the Diagonal Operator Ordering Technique (DOOT), which is a generalization of the Integration Within an Ordered Product technique (IWOP) applicable to canonical operators associated with the one-dimensional harmonic oscillator. We also refer to the connection between TFD and thermodynamic quantities.