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

Foundations of Physics 52 (3):1-11 (2022)
  Copy   BIBTEX

Abstract

The 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.

Categories

Keywords

Reprint years

DOI

10.1007/s10701-022-00578-6

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,783

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

A Fundamental Form of the Schrodinger Equation.Muhammad Adeel Ajaib - 2015 - Foundations of Physics 45 (12):1586-1598.
The Schrödinger equation via an operator functional equation.Donald E. Catlin - 1990 - Foundations of Physics 20 (6):667-690.
Field theory onR× S 3 topology. I: The Klein-Gordon and Schrödinger equations. [REVIEW]M. Carmeli - 1985 - Foundations of Physics 15 (2):175-184.
Lagrangian form of Schrödinger equation.D. Arsenović, N. Burić, D. M. Davidović & S. Prvanović - 2014 - Foundations of Physics 44 (7):725-735.
Derivation of the Schrödinger equation.Shan Gao - manuscript
Compact and Loeb Hausdorff spaces in equation image and the axiom of choice for families of finite sets.Kyriakos Keremedis - 2012 - Mathematical Logic Quarterly 58 (3):130-138.
Theory of Stochastic Schrödinger Equation in Complex Vector Space.Kundeti Muralidhar - 2017 - Foundations of Physics 47 (4):532-552.
Schrödinger’s Equation with Gauge Coupling Derived from a Continuity Equation.U. Klein - 2009 - Foundations of Physics 39 (8):964-995.
Spacetime Fluctuations and a Stochastic Schrödinger–Newton Equation.Sayantani Bera, Priyanka Giri & Tejinder P. Singh - 2017 - Foundations of Physics 47 (7):897-910.
Elimination of the Potential from the Schrödinger and Klein–Gordon Equations by Means of Conformal Transformations.Valerio Faraoni & Donovan M. Faraoni - 2002 - Foundations of Physics 32 (5):773-788.
On the Derivation of the Time-Dependent Equation of Schrödinger.John S. Briggs & Jan M. Rost - 2001 - Foundations of Physics 31 (4):693-712.
Identical motion in relativistic quantum and classical mechanics.Stephen Breen & Peter D. Skiff - 1977 - Foundations of Physics 7 (7-8):589-596.
Classification of exactly solvable potential problems.Haluk Beker - 1993 - Foundations of Physics 23 (5):851-856.
The Stationary Dirac Equation as a Generalized Pauli Equation for Two Quasiparticles.Nikolay L. Chuprikov - 2015 - Foundations of Physics 45 (6):644-656.
Solution of 1D Poisson Equation with Neumann-Dirichlet and Dirichlet-Neumann Boundary Conditions, Using the Finite Difference Method.Serigne Bira Gueye - 2014 - JEMAA 6:309-318.

Analytics

Added to PP
2022-06-06

Downloads
17 (#866,557)

6 months
8 (#356,676)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Do we really understand quantum mechanics?Franck Laloë - 2012 - New York: Cambridge University Press.
The Principles of Quantum Mechanics.P. A. M. Dirac - 1936 - Revue de Métaphysique et de Morale 43 (2):5-5.

View all 6 references / Add more references