The non-relativistic limits of the Maxwell and Dirac equations: the role of Galilean and gauge invariance

DOI10.1016/S1355-2198(03)00005-4zbMath1222.81191MaRDI QIDQ720559

Harvey R. Brown, Peter Holland

Publication date: 17 October 2011

Published in: Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Maxwell equationsgauge invarianceDirac equationsgalilean invariancenon-relativistic limits of relativistic theories

Mathematics Subject Classification ID

Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Special relativity (83A05) Electromagnetic theory (general) (78A25)

Related Items (7)

Dirac equation on a curved surface ⋮ The Pauli and Lévy-Leblond equations, and the spin current density ⋮ On systems having Poincaré and Galileo symmetry ⋮ A Connection between Minkowski and Galilean Space‐times in Quantum Mechanics ⋮ The stationary Dirac equation as a generalized Pauli equation for two quasiparticles ⋮ Absence of effects of an in-plane magnetic field in a quasi-two-dimensional electron system ⋮ Local reduction in physics

Cites Work

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• Nonrelativistic particles and wave equations
• On the meaning of the relativity principle and other symmetries
• The Galilean covariance of quantum mechanics in the case of external fields
• Are predicted superluminal tunneling times an artifact of using the nonrelativistic Schrödinger equation?
• On the Contraction of Groups and Their Representations

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