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Relativistic and Non-Relativistic Quantum Mechanics

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The author of Relativistic and Non-Relativistic Quantum Mechanics is Michael Luke These notes are in large part an abridged and revised version of Sidney Coleman''s field theory lectures from Contents Introduction Relativistic Quantum Mechanics Conventions and Notation Units Relativistic Notation Fourier Transforms The Dirac Delta "Function" A Naive Relativistic Theory Constructing Quantum Field Theory Multi-particle Basis States Fock Space Review of the Simple Harmonic Oscillator An Operator Formalism for Fock Space Relativistically Normalized States Canonical Quantization Classical Particle Mechanics Quantum Particle Mechanics Classical Field Theory Quantum Field Theory Causality Symmetries and Conservation Laws Classical Mechanics Symmetries in Field Theory Space-Time Translations and the Energy-Momentum Tensor Lorentz Transformations Internal Symmetries U(1) Invariance and Antiparticles Non-Abelian Internal Symmetries Discrete Symmetries: C, P and T Charge Conjugation, C Parity, P Time Reversal, T Example: Non-Relativistic Quantum Mechanics (Second Quantization") Interacting Fields Particle Creation by a Classical Source More on Green Functions Mesons Coupled to a Dynamical Source The Interaction Picture Dyson''s Formula Wick''s Theorem S matrix elements from Wick''s Theorem Diagrammatic Perturbation Theory More Scattering Processes Potentials and Resonances Example (continued): Perturbation Theory for nonrelativistic quantum mechanics Decay Widths, Cross Sections and Phase Space Decays Cross Sections D for Two Body Final States More on Scattering Theory Feynman Diagrams with External Lines o the Mass Shell Answer One: Part of a Larger Diagram Answer Two: The Fourier Transform of a Green Function Answer Three: The VEV of a String of Heisenberg Fields Green Functions and Feynman Diagrams The LSZ Reduction Formula Proof of the LSZ Reduction Formula Spin 1/2 Fields Transformation Properties The Weyl Lagrangian The Dirac Equation Plane Wave Solutions to the Dirac Equation Matrices Bilinear Forms Chirality and Summary of Results for the Dirac Equation Dirac Lagrangian, Dirac Equation, Dirac Matrices Space-Time Symme.This title is available at BookMoving on Michael Luke's eBooks, .Relativistic and Non-Relativistic Quantum Mechanics Textbook, course, ebook, pdf, download at bookmoving .

Relativistic and Non-Relativistic Quantum Mechanics

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