Revisiting Canonical Quantization

2012/11/30 by John R. Klauder, Klauder, John R.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #gr-qc #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1211.7351

14 pages, a simplified version of an earlier paper, "Enhanced Quantization: A Primer", two examples have been added, updated with new references

arxiv created 2014/03/22 · arxiv updated 2014/03/25

Abstract

Conventional canonical quantization procedures directly link various c-number and q-number quantities. Here, we advocate a different association of classical and quantum quantities that renders classical theory a natural subset of quantum theory with ℏ>0, in conformity with the real world wherein nature has chosen ℏ>0 rather than ℏ=0. While keeping the good results of conventional procedures, some examples are presented for which the new procedures offer better results than conventional ones.

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