Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Conservation Laws in Quantum Mechanics

Version 1 : Received: 17 March 2023 / Approved: 20 March 2023 / Online: 20 March 2023 (02:36:45 CET)
Version 2 : Received: 27 March 2023 / Approved: 27 March 2023 / Online: 27 March 2023 (08:49:52 CEST)
Version 3 : Received: 31 March 2023 / Approved: 31 March 2023 / Online: 31 March 2023 (05:28:31 CEST)
Version 4 : Received: 6 April 2023 / Approved: 6 April 2023 / Online: 6 April 2023 (09:29:12 CEST)

A peer-reviewed article of this Preprint also exists.

Oldani R. The Conservation Laws in Quantum Mechanics. J Biomed Res Environ Sci. 2023 Apr 08; 4(4): 654-659. doi: 10.37871/jbres1722, Article ID: JBRES1722, Available at: https://www.jelsciences.com/articles/jbres1722.pdf Oldani R. The Conservation Laws in Quantum Mechanics. J Biomed Res Environ Sci. 2023 Apr 08; 4(4): 654-659. doi: 10.37871/jbres1722, Article ID: JBRES1722, Available at: https://www.jelsciences.com/articles/jbres1722.pdf

Abstract

When the theoretical foundations of Einstein’s quantum theory of radiation are compared with Heisenberg’s and Feynman’s theories of nonrelativistic quantum mechanics they are found to violate the conservation laws. The deficiencies are corrected by introducing Hamilton’s principle S = ∫ Ldt and applying the methods of quantum field theory to derive relativistic equations of motion. Based on the calculus of variations proof is given that the wave function equals twice the allowable action minimum.

Keywords

conservation laws; Hamilton's principle; energy; momentum; path integral formulation; matrix mechanics

Subject

Physical Sciences, Theoretical Physics

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