Spin as the Basis for Quantum Mechanics: A New Semiclassical Model for Electron Spin

2005/04/08 by Alan M. Kadin, Kadin, Alan M.
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0504068

9 pages, 1 figures

arxiv created 2005/04/08 · arxiv updated 2009/12/01

Abstract

A simple real-space model for the free-electron wavefunction with spin is proposed, based on coherent vortices on the scale of h/mc, rotating at mc²/h. This reproduces the proper values for electron spin and magnetic moment. Transformation to a moving reference frame turns this into a wave with the de Broglie wavelength. The mapping of the real two-dimensional vector phasor to the complex plane satisfies the Schrodinger equation. This suggests a fundamental role for spin in quantum mechanics.

Related

• Quantum Mechanics without Complex Numbers: A Simple Model for the Electron Wavefunction Including Spin
• Electronic Spin: Abstract Mathematical or Real Physical Phenomenon
• Relativistic Mechanics Theory for Electrons that Exhibits Spin, Zitterbewegung, Superposition and Produces Dirac's Wave Equation
• Classical analog of spin in 7 and in 10 dimensions
• Correlation between Quantum Mechanics and Classical Theory of Rotating Electron Models and Possible Experiment