Relativistic Quantum Mechanics And Related Topics /
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| Author / Creator: | Guendelman, Eduardo, author. |
|---|---|
| Imprint: | Singapore ; Hackensack, NJ : World Scientific, [2022] |
| Description: | 1 online resource. |
| Language: | English |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/13158693 |
Table of Contents:
- Intro
- Contents
- Preface
- Chapter 1. Preliminaries
- Chapter 2. The Relativistic Principle
- 2.1 Poincaré Transformation
- 2.1.1 Tensors with an arbitrary of up and down indices
- 2.2 Relativistic Dynamics
- 2.2.1 Principle of least action
- 2.2.2 Energy and momentum
- 2.2.3 External electromagnetic field
- Chapter 3. Klein-Gordon Equation and Its Physical Applications
- 3.1 Free Particles and Relativistic Schrödinger Equation
- 3.2 Difficulties with the Relativistic Schrödinger Equation in a Strong External Potential
- 3.3 The Klein-Gordon Equation, Boundary Conditions and Propagator
- 3.4 Complex Fields and Klein-Gordon Equation
- 3.4.1 Klein-Gordon field under a Lorentz and Poincare Transformation
- 3.5 Scalar Particles in the Presence of an External Electromagnetic Field
- 3.5.1 Klein paradox
- 3.5.2 Perturbation expansion
- 3.5.3 Special topic: Pair creation in a strong uniform electric field
- 3.5.4 Scattering in an external field
- 3.5.5 Coulomb scattering of a charged scalar particle
- 3.6 The Lagrangian Approach and Conserved Currents
- 3.6.1 Introducing the electromagnetic interaction with charged scalar fields in the Lagrangian approach
- 3.7 Introduction to Axions in a Magnetic Field
- 3.7.1 Action and equations of motion
- 3.7.2 The continuous axion-photon duality symmetry and the scalar QED analogy
- 3.7.3 The particle antiparticle representation of axions and photons and their splitting in an external magnetic field
- 3.7.4 Conclusions
- 3.8 Special Topic: Two-Dimensional Propagator for a Scalar Particle
- 3.8.1 Hydrogen-like pionic atoms
- 3.9 Spontaneous Symmetry Breaking
- 3.9.1 Spontaneous breaking of a global symmetry
- 3.9.2 Spontaneous symmetry breaking of a local symmetry
- Chapter 4. The Dirac Equation
- 4.1 Projection Operators
- 4.1.1 Orthonormal plane waves
- 4.1.2 Charge conjugation symmetry
- 4.1.3 Dirac's hole theory
- 4.2 Dirac Propagator
- 4.2.1 Solution of the Dirac equation from solutions of the Klein-Gordon equation
- 4.2.2 Dirac propagator from the Klein-Gordon propagator
- 4.3 CPT Symmetry
- 4.4 Scattering of Dirac Particles
- 4.4.1 Scattering of a Dirac particle by an external field
- 4.4.2 Coulomb scattering of an electron
- 4.4.3 Trace theorems of gamma matrices and spin averaged over Coulomb cross-section
- 4.4.4 Scattering of Dirac particles by their mutual electromagnetic interaction
- 4.4.5 The annihilation of electron-positron into muon and antimuon
- 4.5 A Dirac Particle Bound in an External Field: Applications to Atomic Physics
- 4.5.1 Magnetic dipole moment of the electron
- 4.5.2 First relativistic corrections and atomic physics
- 4.6 Gauge Transformation and Form of the Propagator
- 4.6.1 Gauge transformation of the photon propagator
