Derivation from Bloch Equation to von Neumann Equation to Schrödinger–Pauli Equation-Reference-Cited by-同舟云学术

Derivation from Bloch Equation to von Neumann Equation to Schrödinger–Pauli Equation

Published:2022-06 Issue:3 Volume:52 Page:
ISSN:0015-9018
Container-title:Foundations of Physics
language:en
Short-container-title:Found Phys

Author:

Wang Lihong V.^ORCID

Abstract

AbstractThe transition from classical physics to quantum mechanics has been mysterious. Here, we mathematically derive the space-independent von Neumann equation for electron spin from the classical Bloch equation. Subsequently, the space-independent Schrödinger–Pauli equation is derived in both the quantum mechanical and recently developed co-quantum dynamic frameworks.

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy

Link

https://link.springer.com/content/pdf/10.1007/s10701-022-00578-6.pdf

Reference27 articles.

1. Field, J.: Derivation of the Schrödinger equation from the Hamilton-Jacobi equation in Feynman’s path integral formulation of quantum mechanics. Eur. J. Phys. 32(1), 63 (2010)

2. Scully, M.O.: The time dependent Schrodinger equation revisited I quantum field and classical Hamilton–Jacobi routes to Schrodinger's wave equation. J. Phys. 99, 120 (2008)

3. Briggs, J.S., Boonchui, S., Khemmani, S.: The derivation of time-dependent Schrödinger equations. J. Phys. A: Math. Theor. 40(6), 1289 (2007)

4. Hall, M.J., Reginatto, M.: Schrödinger equation from an exact uncertainty principle. J. Phys. A: Math. Gen. 35(14), 3289 (2002)

5. Lamb, W.E.: Super classical quantum mechanics: The best interpretation of nonrelativistic quantum mechanics. Am. J. Phys. 69(4), 413–422 (2001)

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Markov Chains of Molecular Processes of Biochemical Materials;International Journal of Physics Research and Applications;2024-01-18

2. Numerical modeling of the multi-stage Stern–Gerlach experiment by Frisch and Segrè using co-quantum dynamics via the Schrödinger equation;Journal of Physics B: Atomic, Molecular and Optical Physics;2023-09-26

3. Numerical modeling of the multi-stage Stern–Gerlach experiment by Frisch and Segrè using co-quantum dynamics via the Bloch equation;Journal of Physics B: Atomic, Molecular and Optical Physics;2023-09-26

4. Multi-stage Stern–Gerlach experiment modeled;Journal of Physics B: Atomic, Molecular and Optical Physics;2023-04-25