The Dirac equation and its solutions

DOI10.1515/9783110263299zbMath1305.81001OpenAlexW560862610MaRDI QIDQ455039

Dmitry Gitman, Vladislav G. Bagrov

Publication date: 4 October 2012

Published in: De Gruyter Studies in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110263299

zbMATH Keywords

particle spinKlein-Gordon equationquantum mechanicsDirac equationcharged particlesquantum electrodynamicsrelativistic quantum mechanicsrelativistic wave equationsparticle motionrelativistic particlesDirac equation, electromagnetic interactionsparticle theory

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40) Methods of quantum field theory in general relativity and gravitational theory (83C47) Motion of charged particles (78A35) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01)

Related Items (5)

Novel principles and the charge-symmetric design of Dirac's quantum mechanics. I: Enhanced Eriksen's theorem and the universal charge-index formalism for Dirac's equation in (strong) external static fields ⋮ Noncommutative integration and symmetry algebra of the Dirac equation on the Lie groups ⋮ Symmetry operators and separation of variables in the (2 + 1)-dimensional Dirac equation with external electromagnetic field ⋮ The Dirac Equation as One Fourth-Order Equation for One Function: A General, Manifestly Covariant Form ⋮ Vacuum instability due to the creation of neutral fermion with anomalous magnetic moment by magnetic-field inhomogeneities

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