Advanced Quantum Theory

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and Its Applications Through Feynman Diagrams, Theoretical and Mathematical Physics

ISBN:	3540536817
ISBN 13:	9783540536819
Autor:	Scadron, Michael D
Verlag:	Springer Verlag GmbH
Umfang:	xvii, 410 S.
Erscheinungsdatum:	17.10.1991
Auflage:	2/1991
Produktform:	Kartoniert
Einband:	Kartoniert

InhaltsangabeI Transformation Theory.- 1 Introduction.- 1.A Principles of Quantum Mechanics.- 1.B Angular-Momentum Expansions.- 1.C Unitary Operators and Transformation Theory.- 1.D Translations in Time.- 2 Transformations in Space.- 2.A Continuous Symmetry Transformations and Group Theory.- 2.B Translations in Space.- 2.C Rotations in Space.- 2.D The Rotation Group O(3).- 2.E Tensor Operators and the Wigner-Eckart Theorem.- 3 Transformations in Space-Time.- 3.A Lorentz Velocity Transformations.- 3.B Homogeneous Lorentz Group L.- 3.C Inhomogeneous Lorentz Group P.- 3.D Helicity Formalism.- 4 Boson Wave Equations.- 4.A Spin-0 Klein-Gordon Equation.- 4.B Spin-1 Wave Equation.- 4.C Spin-1 Maxwell Equation.- 4.D Second Quantization: Photons and Phonons.- 5 Spin-$$\frac{1}{2}$$ Dirac Equation.- 5.A Derivations of the Dirac Equation.- 5.B Covariant Formulation.- 5.C Free-Particle Solutions of the Dirac Equation.- 5.D Dirac Equation in an External Field.- 5.E Wave Equations for Other Fermi Particles.- 6 Discrete Symmetries.- 6.A Charge-Conjugation Transformation.- 6.B Space-Reflection Transformations.- 6.C Time-Reversal Transformation.- 6.D CPT Invariance.- II Scattering Theory.- 7 Formal Theory of Scattering.- 7.A Formulation of the Scattering Problem.- 7.B Time-Independent Potential Scattering.- 7.C Time-Dependent Scattering in the Schrödinger Picture.- 7.D Time-Dependent Scattering in the Interaction Picture.- 7.E The S-Matrix.- 7.F Transition Probabilities.- 7.G Unitarity and Probability Conservation.- 7.H Bound States in Scattering Language.- 8 Simple Scattering Dynamics.- 8.A Partial Waves and Phase Shifts.- 8.B Low-Energy Scattering and Bound States.- 8.C Resonance Scattering, Formation, and Decay.- 8.D Born Approximation in Potential Scattering.- 8.E Form Factors.- 8.F High-Energy Scattering.- 9 Nonrelativistic Perturbation Theory.- 9.A Time-Independent Perturbation Theory.- 9.B Time-Dependent Perturbation Theory.- 9.C Electron-Photon Interactions in Atoms.- 9.D Electron-Phonon Interactions in Solids.- Ill Covariant Feynman Diagrams.- 10 Covariant Feynman Rules.- 10.A Covariant Kinematics.- 10.B Covariant S-Matrix.- 10.C Covariant Vertices.- 10.D Covariant Feynman Propagators.- 10.E Feynman Rules in Momentum Space.- 11 Lowest-Order Electromagnetic Interactions.- 11.A Coulomb Scattering.- 11.B Moller Scattering.- 11.C Bhabha Scattering.- 11.D Compton Scattering.- 11.E Bremsstrahlung and Pair Production.- 11.F Electromagnetic Interactions of Hadrons.- 11.G Static Electromagnetic Potentials.- 12 Low-Energy Strong Interactions.- 12.A Yukawa Force.- 12.B Isospin.- 12.C One-Pion-Exchange Nucleon-Nucleon Force.- 12.D Low-Energy ?N Scattering.- 12.E Hadronic Vector Currents.- 12.F Hadronic Axial-Vector Currents.- 13 Lowest-Order Weak Interactions.- 13.A Phenomenology of Weak Decays.- 13.B Current-Current Hypothesis.- 13.C Muon Decay.- 13.D Neutron ?-Decay.- 13.E Charged-Pion Decay.- 13.F Cabibbo Universality.- 13.G Nonleptonic Decays.- 14 Lowest-Order Gravitational Interactions.- 14.A Graviton Wave Function and Propagator.- 14.B Graviton Vertices.- 14.C Graviton Spontaneous Emission.- 14.D Quantum Corrections to the Newtonian Force Law.- 14.E Gravitational Light Bending.- 14.F Connection between Quantum Theory of Gravity and General Relativity.- 15 Higher-Order Covariant Feynman Diagrams.- 15.A Closed-Loop Diagrams.- 15.B Electron Anomalous Magnetic Moment.- 15.C Self-Energy Loop Diagrams.- 15.D Free-Electron Charge Form Factor.- 15.E Bound-State Lamb Shift.- 15.F Renormalization in Field Theory.- 15.G Dispersion Theory and QED.- 15.H Dispersion Theory and Strong Interactions.- 16 Quark Model at Low Energies.- 16.A Flavor, Spin, and Color Symmetry of Quarks.- 16.B Magnetic Moments and Mass Formulae.- 16.C Chiral Symmetry and Nambu-Goldstone Pions.- 16.D Chiral Symmetry and Quark Loops.- 16.E Linear ? Model to One-Loop Order.- Problems.- Appendices.- I Units and Conventions.- 1. Units.- 2. Metric and ?-Matrices.- 3. Normalizations.- 4. Decay Rates

Artikelnummer: 6218592 Kategorie: Atomphysik, Kernphysik

Beschreibung

Beschreibung

In this well-known textbook, advanced quantum theory is formulated in group-theoretical language. Scattering is dealt with in nuclear, atomic, and solid-state physics. Of central importance is the treatment of Feynman graphs. In the second edition the author has added new sections on the quark model.