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<p>A quantization of classical spinning particle 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. We only consider constant linear electric and magnetic fields, and find agreement up to third order in <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10701_2025_833_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">\(1/{\text{c}}^{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>1</mn> <mo stretchy="false">/</mo> <msup> <mrow> <mtext>c</mtext> </mrow> <mn>2</mn> </msup> </mrow> </math></EquationSource> </InlineEquation>.</p>

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

  • 期刊论文

  • 发表日期：

    2025年3月12日

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  • John French

摘要

A quantization of classical spinning particle 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. We only consider constant linear electric and magnetic fields, and find agreement up to third order in \(1/{\text{c}}^{2}\) 1 / c 2 .