dorsal/arxiv
View SchemaSpin as the Basis for Quantum Mechanics: A New Semiclassical Model for Electron Spin
| Authors | Alan M. Kadin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504068 |
| URL | https://arxiv.org/abs/quant-ph/0504068 |
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 mc^2/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.
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"abstract": "A simple real-space model for the free-electron wavefunction with spin is\nproposed, based on coherent vortices on the scale of h/mc, rotating at mc^2/h.\nThis reproduces the proper values for electron spin and magnetic moment.\nTransformation to a moving reference frame turns this into a wave with the de\nBroglie wavelength. The mapping of the real two-dimensional vector phasor to\nthe complex plane satisfies the Schrodinger equation. This suggests a\nfundamental role for spin in quantum mechanics.",
"arxiv_id": "quant-ph/0504068",
"authors": [
"Alan M. Kadin"
],
"categories": [
"quant-ph"
],
"title": "Spin as the Basis for Quantum Mechanics: A New Semiclassical Model for Electron Spin",
"url": "https://arxiv.org/abs/quant-ph/0504068"
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