Quantum Mechanics without Complex Numbers: A Simple Model for the Electron Wavefunction Including Spin

2005/02/22 by Alan M. Kadin, Kadin, Alan M.
Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0502139

10 pages, 2 figures

arxiv created 2005/02/22 · openalex publication_date 2005/02/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A simple real-space model for the electron wavefunction is suggested, based on a transverse wave with helicity, rotating at mc²/h. The mapping of the real two-dimensional vector phasor to the complex plane permits this to satisfy the standard time-dependent Schroedinger equation. This model is extended to provide an intuitive physical picture of electron spin. Implications of this model are discussed.

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