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

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

2000-09-28

arxiv.org/abs/math-ph/0009036v1

Physics

Mathematical Physics

7 pages, LaTeX. Invited lecture at the Third International Workshop on Thermal Field Theories, Banff, Canada, August 1993

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

Quantization of Damped Harmonic Oscillator, Thermal Field Theories and q-Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantization of Damped Harmonic Oscillator, Thermal Field Theories and q-Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantization of Damped Harmonic Oscillator, Thermal Field Theories and q-Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-651582