QUANTUM DISSIPATION AND QUANTUM GROUPS

Abstract

We discuss the rôle 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.

to appear in Annals of Physics (N.Y.)

References in corpus (2)

• Quantum Groups, Coherent States, Squeezing and Lattice Quantum Mechanics
• QUANTUM DISSIPATION AND QUANTUM NOISE

Cited by in corpus (8)

• Quantum damped oscillator I: dissipation and resonances
• Thermo Field Dynamics and quantum algebras
• Integrable deformations of oscillator chains from quantum algebras
• Bekenstein bound from the Pauli principle
• Quantization of Scalar Fields in Curved Background and Quantum Algebras
• Quantizing the damped harmonic oscillator
• Alternative Symmetries in Quantum Field Theory and Gravity
• On Normal ordering and Canonical transformations in Thermal Field Theory