Quantum Physics

    

Exact Relativistic Corrections to the Quantization of a Classical Spinning Particle with Constant Electric and Magnetic Fields

Authors: John French

This paper is an extension of a paper by the author where a quantization of classical spinningparticle equations is carried out using the Euler angles of the particle. Relativistic corrections are found and compared to the Foldy-Wouthuysen transformation of the Dirac equation. In the first section we only consider constant weak electric and magnetic fields, and find agreement toall orders of 1/c^2. We then look at a more general situation and compare our quantization method to that of Chiou and Chen again for constant weak fields. In the last section we consider a general constant magnetic field with no electric field and look at the differencebetween this result and the Foldy-Wouthuysen transformation when strong magnetic fieldterms are included.

Comments: 13 Pages. This paper is a preprint

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Submission history

[v1] 2025-03-28 00:14:40
[v2] 2025-05-22 20:42:53
[v3] 2025-11-07 02:36:58

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