Foldy–Wouthuysen-type reduction of the second-order Dirac equation

DOI10.1063/1.528295zbMath0693.35140OpenAlexW1984638722MaRDI QIDQ3468006

Levere C. Hostler

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528295

zbMATH Keywords

Foldy-Wouthuysen transformationnonrelativistic reductionsecond-order Dirac equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General theory of partial differential operators (47F05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Foldy-Wouthuysen Transformation. Exact Solution with Generalization to the Two-Particle Problem
• Theory of the Fermi Interaction
• Quantization of the two-component fermion theory
• Zweikomponentige Spinorfelder zur Beschreibung beliebiger Teilchen vom Spin 1/2 und ihre Anwendung auf die schwachen Wechselwirkungen
• Self-energy operator for an electron in an external Coulomb potential. II
• Scalar formalism for non-Abelian gauge theory
• Application of Spinor Analysis to the Maxwell and Dirac Equations
• Properties of Higher-Order Commutator Products and the Baker-Hausdorff Formula
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit

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