Theories of matter, space and time.

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"Version: 20180601"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Non-relativistic quantum mechanics -- 1.1. One dimensional, time dependent Schr?odinger equation -- 1.2. Time independent Schr?odinger 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 Schr?odinger equation -- 1.11. Wave function collapse and all thatAppendix A. Time independent perturbation theory -- A.1. Example : perturbed square well -- Appendix B. Orbital and spin angular momentum2. 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 Schr?odinger 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 functionsAppendix 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 rule3. Relativistic quantum mechanics -- 3.1. Relativity review -- 3.2. The Klein-Gordon equation -- 3.3. Dirac equation4. 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.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 areas of theoretical physics that we expect our undergraduates to master. Here we teach the student to understand first quantized relativistic quantum theories. We first quickly review the basics of quantum mechanics which should be familiar to the reader from a prior course. Then we will link the Schr?odinger equation to the principle of least action introducing Feynman's path integral methods. Next, we present the relativistic wave equations of Klein, Gordon and Dirac. Finally, we convert Maxwell's equations of electromagnetism to a wave equation for photons and make contact with quantum electrodynamics (QED) at a first quantized level. Between the two volumes we hope to move a student's understanding from their prior courses to a place where they are ready, beyond, to embark on graduate level courses on quantum field theory.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader."Professor Nick Evans completed his PhD in collider phenomenology in 1993 at Southampton University. He performed his early research work at Yale and Boston Universities in the US before returning to Southampton in 1999 on a UK government 5-year fellowship. He is now a Professor at Southampton University and the Director of the Faculty of Physical Science and Engineering Graduate School. Professor Steve King completed his PhD in QCD perturbation theory in 1980 at Manchester University. He was a postdoctoral fellow at Oxford University, where he worked on composite models, before moving to Harvard and Boston Universities in the US, where he worked on technicolour and collider phenomenology. Returning to Southampton in 1987, he won a 5-year fellowship to work on lattice QCD and top quark condensates. He is now Professor and First Year Director of Studies in Physics and Astronomy at Southampton.Title from PDF title page (viewed on July 11, 2018).

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Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781681749839

Classification

530.12

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-

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-

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Subject(s)

Classical mechanics.
Quantum theory.
SCIENCE / Physics / General.

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Statement of Responsibility

N. Evans and S.F. King.

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