Are canonical and coherent state quantizations physically equivalent?

Authors:
  • HBHervé Bergeron
    Hervé Bergeron
  • JGJean-Pierre Gazeau
    Jean-Pierre Gazeau
  • AYAhmed Youssef
    Ahmed Youssef
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Abstract
It was recently argued that among different quantization procedures the canonical quantization has to be favored. The rationale is based on experimental evidences going back to the early period of Quantum Mechanics (vibrational spectra of diatomic molecules). As much as this experimental observation is concerned, we show that the quantization through coherent states (or Berezin-Klauder-Toeplitz, or anti-Wick quantization) represents a perfectly valid alternative.