Theories of matter, space and time. Volume 2, Quantum theories /

This book and its prequel Theories of Matter Space and Time: Classical Theories grew out of courses that we have both taught as part of the undergraduate degree program in Physics at Southampton University, UK. Our goal was to guide the full MPhys undergraduate cohort through some of the trickier ar...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Evans, Nick J. (Autor), King, S. F. (Stephen F.) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018]
Colección:IOP (Series). Release 4.
IOP concise physics.
Temas:
Quantum theory.
Classical mechanics.
SCIENCE / Physics / General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Non-relativistic quantum mechanics
  • 1.1. One dimensional, time dependent Schrödinger equation
  • 1.2. Time independent Schrödinger equation
  • 1.3. Interpretation
  • 1.4. Proof that probability is conserved
  • 1.5. Momentum space wave functions
  • 1.6. Heisenberg uncertainty principle
  • 1.7. Square well example
  • 1.8. Completeness
  • 1.9. Orthogonality
  • 1.10. The 3D Schrödinger equation
  • 1.11. Wave function collapse and all that
  • Appendix A. Time independent perturbation theory
  • A.1. Example : perturbed square well
  • Appendix B. Orbital and spin angular momentum
  • 2. Path integral approach to quantum mechanics
  • 2.1. Proposal for the quantum mechanical amplitude
  • 2.2. The classical limit
  • 2.3. Wave functions
  • 2.4. Deriving the Schrödinger equation
  • 2.5. Path integral for a free particle
  • 2.6. Interpreting the free particle kernel
  • 2.7. Barrier problems
  • 2.8. The kernel in terms of wave functions
  • Appendix C. Gaussian integrals
  • Appendix D. Scattering theory
  • D.1. Traditional time dependent perturbation theory
  • D.2. Initial response to a perturbation
  • D.3. Example : perturbed square well II
  • D.4. Fermi's golden rule
  • 3. Relativistic quantum mechanics
  • 3.1. Relativity review
  • 3.2. The Klein-Gordon equation
  • 3.3. Dirac equation
  • 4. Quantum electrodynamics
  • 4.1. Photon wave equation
  • 4.2. Minimal substitution
  • 4.3. Gauge invariance
  • 4.4. QED interactions in perturbation theory
  • 4.5. Cross sections and decay rates
  • 4.6. More scattering processes
  • 4.7. Renormalization
  • 4.8. g -2 of the electron.

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