QUANTUM DISSIPATION AND QUANTUM GROUPS
Alfredo Iorio, Giuseppe Vitiello (Dipartimento di Fisica -, Universita' di Salerno, INFN--Napoli)
TL;DR
This paper explores how quantum deformation of the Weyl-Heisenberg algebra influences dissipative and thermal systems, linking algebraic structures to physical phenomena like damping and temperature effects.
Contribution
It introduces a framework connecting quantum group deformations with dissipative quantum systems and thermal transformations, highlighting the role of quantum parameters in state representation.
Findings
Quantum deformation relates to dissipative dynamics.
Thermal and damping generators are expressed via quantum algebra.
Quantum parameters distinguish inequivalent state representations.
Abstract
We discuss the r\^ole of quantum deformation of Weyl-Heisenberg algebra in dissipative systems and finite temperature systems. We express the time evolution generator of the damped harmonic oscillator and the generator of thermal Bogolubov transformations in terms of operators of the quantum Weyl-Heisenberg algebra. The quantum parameter acts as a label for the unitarily inequivalent representations of the canonical commutation relations in which the space of the states splits in the infinite volume limit.
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