The equation for the wavefunction in nonrelativistic quantum mechanics ∗

Simon Davis

doi:10.48165/

Authors

Simon Davis Research Foundation of Southern California, 8861 La Jolla Drive #13595, La Jolla, CA 92037, USA.

DOI:

https://doi.org/10.48165/

Keywords:

commutator, generalized momentum operator, wave equation

Abstract

The momentum operator may be generalized for the correspondence of the limit of quantum commutators of observables with the classical commutators. The substitution of the momentum operator into the nonrelativistic equation for the conser vation of energy yields a generalization of the stationary wave equation. Replacing also the energy operator, a generalization of the time-dependent Schrödinger equations, there exists a special class of wavefunctions that satisfies the nonrelativistic wave equation in quantum theory.

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Simon Davis

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