Quantization of Damped Harmonic Oscillator, Thermal Field Theories and q-Groups
Iorio, Alfredo ; Vitiello, Giuseppe
arXiv, 0009036 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-09-27
Classification:  Mathematical Physics 
@article{0009036,
     author = {Iorio, Alfredo and Vitiello, Giuseppe},
     title = {Quantization of Damped Harmonic Oscillator, Thermal Field Theories and
  q-Groups},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0009036}
}

Iorio, Alfredo; Vitiello, Giuseppe. Quantization of Damped Harmonic Oscillator, Thermal Field Theories and
  q-Groups. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0009036/