English

To what extent are canonical and coherent state quantizations physically equivalent?

Quantum Physics 2012-11-15 v3 Mathematical Physics math.MP

Abstract

We investigate the consistency of coherent state (or Berezin-Klauder-Toeplitz, or anti-Wick) quantization in regard to physical observations in the non- relativistic (or Galilean) regime. We compare this procedure with the canonical quantization (on both mathematical and physical levels) and examine whether they are or not equivalent in their predictions: is it possible to dif- ferentiate them on a strictly physical level? As far as only usual dynamical observables (position, momentum, energy, ...) are concerned, the quantization through coherent states is proved to be a perfectly valid alternative. We successfully put to the test the validity of CS quantization in the case of data obtained from vibrational spectroscopy (data that allowed to validate canonical quantization in the early period of Quantum Mechanics).

Keywords

Cite

@article{arxiv.1102.3556,
  title  = {To what extent are canonical and coherent state quantizations physically equivalent?},
  author = {Hervé Bergeron and Jean-Pierre Gazeau and Ahmed Youssef},
  journal= {arXiv preprint arXiv:1102.3556},
  year   = {2012}
}

Comments

31 pages, 1 figure

R2 v1 2026-06-21T17:27:49.701Z