The classical limit of quantum commutation relations ∗

Simon  Davis

doi:10.48165/

Authors

Simon Davis Research Foundation of Southern California, 8861 Villa La Jolla Drive #13595, La Jolla, CA 92039, USA.

DOI:

https://doi.org/10.48165/

Keywords:

quantum commutator, classical limit, generalized momentum, Hermiticity

Abstract

The commutation relations of quantum mechanics have a classical limit equal to the Poisson brackets if the coefficient is generalized to be a complex rather than purely imaginary. The effect on the uncertainty relations is described. The complex number may be identified with a modular variable and the quantization is derived from topology.

References

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