Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed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 the equations of nonrelativistic quantum mechanics 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. The calculus of variations is used to prove that the wave function equals twice the allowable action minimum. Einstein’s version of quantum mechanical foundations is thereby determined to be correct one.

Keywords

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

Subject

Physical Sciences, Theoretical Physics

Comments (1)

Comment 1
Received: 27 March 2023
Commenter: Richard Oldani
Commenter's Conflict of Interests: Author
Comment: Minor errors were corrected and an improved conclusion was added.
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