Abstract
The process of canonical quantization is redefined so that the classical and quantum theories coexist when \(\hslash > 0\), just as they do in the real world. This analysis not only supports conventional procedures, it also reveals new quantization procedures that, among several examples, permit nontrivial quantization of scalar field models such as ϕ n 4 for every spacetime dimension n ≥ 2.
Based on two separate lectures presented at the conference “Stochastic and Infinite Dimensional Analysis”, Bielefeld, Germany, June 2013.
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Acknowledgements
Thanks are expressed to the Zentrum für interdisziplinäre Forschung, Bielefeld University, for their support in attending the conference “Stochastic and Infinite Dimensional Analysis”; and it is a pleasure to congratulate Prof. Ludwig Streit on his 75th birthday.
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Klauder, J.R. (2016). Completing Canonical Quantization, and Its Role in Nontrivial Scalar Field Quantization. In: Bernido, C., Carpio-Bernido, M., Grothaus, M., Kuna, T., Oliveira, M., da Silva, J. (eds) Stochastic and Infinite Dimensional Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-07245-6_12
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DOI: https://doi.org/10.1007/978-3-319-07245-6_12
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