LEADER 03109nam 2200661 450 001 9910817026803321 005 20230803204647.0 010 $a3-11-037775-6 010 $a3-11-026329-7 024 7 $a10.1515/9783110263299 035 $a(EBL)1113310 035 $a(MiAaPQ)EBC1113310 035 $a(OCoLC)890066885 035 $a(Au-PeEL)EBL1113310 035 $a(CaPaEBR)ebr11006644 035 $a(CaONFJC)MIL805009 035 $a(DE-B1597)172143 035 $a(DE-B1597)9783110263299 035 $a(EXLCZ)993710000000229057 100 $a20150126h20142014 uy| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe dirac equation and its solutions /$fVladislav G. Bagrov, Dmitry Gitman 210 1$aBerlin :$cDe Gruyter,$d[2014] 210 4$d©2014 215 $a1 online resource (444 p.) 225 1 $aDe Gruyter studies in mathematical physics,$x2194-3532 ;$vvolume 4 300 $aDescription based upon print version of record. 311 0 $a3-11-916378-3 311 0 $a3-11-026292-4 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tPreface --$tAcknowledgements --$tContents --$t1. Introduction --$t2. Relativistic equations of motion --$t3. Basic exact solutions --$t4. Particles in fields of special structure --$t5. Dirac-Pauli equation and its solutions --$t6. Propagators of relativistic particles --$t7. Electron interacting with a quantized electromagnetic plane wave --$t8. Spin equation and its solutions --$t9. One-dimensional Schrödinger equation and its solutions --$t10. Coherent states --$tA. Appendix 1 --$tB. Appendix 2 --$tBibliography --$tIndex --$tBackmatter 330 $aThe Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics. In relativistic quantum mechanics, the Dirac equation is referred to as one-particle wave equation of motion for electron in an external electromagnetic field. In quantum electrodynamics, exact solutions of this equation are needed to treat the interaction between the electron and the external field exactly. In this monograph, all propagators of a particle, i.e., the various Green's functions, are constructed in a certain way by using exact solutions of the Dirac equation. 410 0$aDe Gruyter studies in mathematical physics ;$v4. 606 $aDirac equation 606 $aQuantum field theory 606 $aDifferential equations, Partial 606 $aWave equation 610 $aDirac Equation. 610 $aQuantum Electrodynamics. 610 $aRelativistic Quantum Mechanics. 615 0$aDirac equation. 615 0$aQuantum field theory. 615 0$aDifferential equations, Partial. 615 0$aWave equation. 676 $a530 700 $aBagrov$b Vladislav G.$01683455 702 $aGitman$b Dmitry 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817026803321 996 $aThe dirac equation and its solutions$94054190 997 $aUNINA