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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2021, Volume & Issue : BPAS-Maths & Stat 40E(2), JUL-DEC 2021
Page No. : 127-134, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2021.00013.8 (Communicated, edited and typeset in Latex by Lalit Mohan Upadhyaya (Editor-in-Chief). Received March 10, 2020 / Revised June 28, 2021 / Accepted July 21, 2021. Online First Published on December 17, 2021)

The equation for the wavefunction in nonrelativistic quantum mechanics

Simon Davis1
Author’s Affiliation : 1. Research Foundation of Southern California, 8861 Villa La Jolla Drive #13595, La Jolla, CA 92039, USA. 1. E-mail: [email protected]

Corresponding Author : Simon Davis,
E-Mail:-[email protected]


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 conservation 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.

2020 Mathematics Subject Classification 81Q05, 81R20, 81S05, 81S07, 81S99.

Keywords

commutator, generalized momentum operator, wave equation.
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