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

John P. Costella
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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.

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John P. Costella. 1995-05-24. [p,q] does not equal (i h-bar). https://arxiv.org/abs/quant-ph/9505014

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