Quantum Mechanics  1 & 2: Quantum Mechanics  2 (PHY411)
Text Books

Relativistic Quantum Mechanics byCall Number: 530.12 WACISBN: 9789400733619Publication Date: 20121201
Reference books

ISBN: 9783642880827
Published by Springer Berlin Heidelberg
Publication date: 1990
Related Books
Course Outline
Course Contents: Relativistic description of spin0 particles: KelinGordon equation; Canonical and Lorentz covariant formulations of the Klein Gordon equation, Hamilton formulation of the Klein, Hamilton formulation of the KleinGordon Equation, Interpretation of negative solutions, Antiparticles.Symmetry transformations; Active and passive transformations, Lorentz transformations, Discrete transformations. OneParticle interpretation of the KleinGordon theory, Generalized scalar product, Oneparticle operatorsand FeshbachVillars representation, Validity range of the oneparticle concept, Klein paradox, Nonrelativistic approximation of the KleinGordon theory, Nonrelativistic limit, Relativistic corrections. Simple oneparticle systems; Potential well, Radial KleinGordon equation, Free particle and spherically symmetric potential well, Coulomb potential, Oscillatorcoulomb potential.Relativistic description of spin1/2 particles; Dirac equation, Canonical formulation of the Dirac equation, Canonical formulation of the Dirac equation, Properties of γmatrices and covariant bilinear forms, Spin operator, Projection operators, Interpretation of negative solutions, Antiparticlesand holetheory. Symmetry transformations; Proper Lorentz transformations, Spin of Dirac solutions, Discrete transformations. Oneparticle interpretation of the Dirac theory; Oneparticle operatorsand FeshbachVillars Representation, Validity range of the oneparticle concept, Klein paradox. Nonrelativistic approximation of the Dirac theory; Nonrelativistic limit, Relativistic corrections. Simple oneparticle systems; Potential well, Radial form of the Dirac equation, Free particle and centrally symmetric potential well, Coulomb potential.Relativistic scattering theory: Review: Nonrelativistic scattering theory, Solution of the general Schr¨odingerequation, Propagator decomposition by schr¨odinger solutions, Scattering formalism, coulomb scattering.Scattering of spin1/2 particles, Solution of the general Dirac equation, Fourier decomposition of the free Fermion propagator, Scattering formalism, Trace evaluations with γmatrices. Spin1/2 scattering processes;Coulomb scattering of electrons, Electronproton scattering (I), Electronproton scattering (II), Preliminary Feynman rules in momentum space, Electronelectron scattering, Electronpositron scattering, Compton scattering against electrons, Electronpositron annihilation, Conclusion: Feynman diagrams in momentum space. higher order corrections; Vacuum polarization, Selfenergy, Vortex correction, Physical consequences. Scattering of spin0 particles; Solution of the general KleinGordon equation, Scattering formalism, Coulomb scattering of pions, Pionpion scattering, Pion production via electrons, Compton scattering against pions, Conclusion: Enhanced Feynman rulesin momentum space.
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EBooks (Full Text)

ISBN 9780674020146
Published by Harvard University Press
Publication date: 2009 
ISBN 9789814304122
Published by World Scientific Publishing Company
Publication date: 2011 
ISBN 9781608052509
Published by Bentham Science Publishers
Publication date: 2011 
ISBN: 9789814383424
Published by World Scientific Publishing Company
Publication date: 2011 
ISBN 9780199798230
Published by Oxford University Press
Publication date: 2014 
ISBN 9789814313735
Published by World Scientific Publishing Company
Publication date: 2010