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Characteristic of Schwabl's work, this volume features a compelling mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the reader to gain a thorough working knowledge of the subject. The treatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. New material has been added to this third edition.

Advanced Quantum Mechanics

Nonrelativistic Many-Particle Systems.- Second Quantization.- Spin-1/2 Fermions.- Bosons.- Correlation Functions, Scattering, and Response.- Relativistic Wave Equations.- Relativistic Wave Equations and their Derivation.- Lorentz Transformations and Covariance of the Dirac Equation.- Orbital Angular Momentum and Spin.- The Coulomb Potential.- The Foldy-Wouthuysen Transformation and Relativistic Corrections.- Physical Interpretation of the Solutions to the Dirac Equation.- Symmetries and Further Properties of the Dirac Equation.- Relativistic Fields.- Quantization of Relativistic Fields.- Free Fields.- Quantization of the Radiation Field.- Interacting Fields, Quantum Electrodynamics.