PIRSA:13050006 Scientific Series Quantum Foundations

DOI10.48660/13050006

Series: Quantum Foundations

Klauder, J. (2013). Completing Canonical Quantization. Perimeter Institute. https://pirsa.org/13050006

Klauder, John. Completing Canonical Quantization. Perimeter Institute, May. 21, 2013, https://pirsa.org/13050006 

@misc{ pirsa_PIRSA:13050006,
  doi = {10.48660/13050006},
  url = {https://pirsa.org/13050006},
  author = {Klauder, John},
  keywords = {Quantum Foundations},
  language = {en},
  title = {Completing Canonical Quantization},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {may},
  note = {PIRSA:13050006 see, \url{https://pirsa.org}}
}

Abstract

The process of canonical quantization:is reexamined with the goal of ensuring there is only one reality, where $\hbar>0$, in which classical and quantum theories coexist. Two results are a clarification of the effect of canonical coordinate transformations and the role of Cartesian coordinates. Other results provide validation of alternative quantum procedures that allow acceptable solutions for models that exhibit unacceptable solutions using traditional procedures. Several examples will illustrate advantages of the new classical/quantum connection including one case where conventional methods lead to quantum triviality while the enhanced procedures lead to an acceptable nonlinear quantum behaviour.  This seminar uses only simple physical and mathematical concepts, and should be widely accessible. 

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