English

[p,q] does not equal (i h-bar)

Quantum Physics 2007-05-23 v1

Abstract

In this short note, I point out that [p,q] does not equal (i h-bar), contrary to the original claims of Born and Jordan, and Dirac. Rather, [p,q] is equal to something that is *infinitesimally different* from (i h-bar). While this difference is usually harmless, it does provide the solution of the Born-Jordan "trace paradox" of [p,q]. More recently, subtleties of a very similar form have been found to be of fundamental importance in quantum field theory.

Cite

@article{arxiv.quant-ph/9505014,
  title  = {[p,q] does not equal (i h-bar)},
  author = {John P. Costella},
  journal= {arXiv preprint arXiv:quant-ph/9505014},
  year   = {2007}
}

Comments

Standard LaTeX, 6 pages