03109nam 2200661 450 991081702680332120230803204647.03-11-037775-63-11-026329-710.1515/9783110263299(EBL)1113310(MiAaPQ)EBC1113310(OCoLC)890066885(Au-PeEL)EBL1113310(CaPaEBR)ebr11006644(CaONFJC)MIL805009(DE-B1597)172143(DE-B1597)9783110263299(EXLCZ)99371000000022905720150126h20142014 uy| 0engurcnu||||||||txtccrThe dirac equation and its solutions /Vladislav G. Bagrov, Dmitry GitmanBerlin :De Gruyter,[2014]©20141 online resource (444 p.)De Gruyter studies in mathematical physics,2194-3532 ;volume 4Description based upon print version of record.3-11-916378-3 3-11-026292-4 Includes bibliographical references and index.Front matter --Preface --Acknowledgements --Contents --1. Introduction --2. Relativistic equations of motion --3. Basic exact solutions --4. Particles in fields of special structure --5. Dirac-Pauli equation and its solutions --6. Propagators of relativistic particles --7. Electron interacting with a quantized electromagnetic plane wave --8. Spin equation and its solutions --9. One-dimensional Schrödinger equation and its solutions --10. Coherent states --A. Appendix 1 --B. Appendix 2 --Bibliography --Index --BackmatterThe Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics. In relativistic quantum mechanics, the Dirac equation is referred to as one-particle wave equation of motion for electron in an external electromagnetic field. In quantum electrodynamics, exact solutions of this equation are needed to treat the interaction between the electron and the external field exactly. In this monograph, all propagators of a particle, i.e., the various Green's functions, are constructed in a certain way by using exact solutions of the Dirac equation.De Gruyter studies in mathematical physics ;4.Dirac equationQuantum field theoryDifferential equations, PartialWave equationDirac Equation.Quantum Electrodynamics.Relativistic Quantum Mechanics.Dirac equation.Quantum field theory.Differential equations, Partial.Wave equation.530Bagrov Vladislav G.1683455Gitman DmitryMiAaPQMiAaPQMiAaPQBOOK9910817026803321The dirac equation and its solutions4054190UNINA