English

Revisiting Canonical Quantization

Quantum Physics 2014-03-25 v4 General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics math.MP

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 \hbar>0, in conformity with the real world wherein nature has chosen \hbar>0 rather than \hbar=0. While keeping the good results of conventional procedures, some examples are presented for which the new procedures offer better results than conventional ones.

Keywords

Cite

@article{arxiv.1211.7351,
  title  = {Revisiting Canonical Quantization},
  author = {John R. Klauder},
  journal= {arXiv preprint arXiv:1211.7351},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T22:47:00.648Z