Quantization of Damped Harmonic Oscillator, Thermal Field Theories and q-Groups

Simple item page
dc.creatorIorio, Alfredo
dc.creatorVitiello, Giuseppe
dc.date2000-09-28
dc.date.accessioned2026-07-07T04:28:02Z
dc.date.available2026-07-07T04:28:02Z
dc.descriptionWe study the canonical quantization of the damped harmonic oscillator by resorting to the realization of the q-deformation of the Weyl-Heisenberg algebra (q-WH) in terms of finite difference operators. We relate the damped oscillator hamiltonian to the q-WH algebra and to the squeezing generator of coherent states theory. We also show that the q-WH algebra is the natural candidate to study thermal field theory. The well known splitting, in the infinite volume limit, of the space of physical states into unitarily inequivalent representations of the canonical commutation relations is briefly commented upon in relation with the von Neumann theorem in quantum mechanics and with q-WH algebra.
dc.description7 pages, LaTeX. Invited lecture at the Third International Workshop on Thermal Field Theories, Banff, Canada, August 1993
dc.identifierhttps://arxiv.org/abs/math-ph/0009036
dc.identifierhttp://arxiv.org/abs/math-ph/0009036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56638
dc.subjectMathematical Physics
dc.titleQuantization of Damped Harmonic Oscillator, Thermal Field Theories and q-Groups
dc.typetext

Files

Collections

arXiv