Book contents
- Frontmatter
- Contents
- Preface
- Physical constants
- 1 Basic formalism
- 2 Fundamental commutator and time evolution of state vectors and operators
- 3 Dynamical equations
- 4 Free particles
- 5 Particles with spin ½
- 6 Gauge invariance, angular momentum, and spin
- 7 Stern–Gerlach experiments
- 8 Some exactly solvable bound-state problems
- 9 Harmonic oscillator
- 10 Coherent states
- 11 Two-dimensional isotropic harmonic oscillator
- 12 Landau levels and quantum Hall effect
- 13 Two-level problems
- 14 Spin ½ systems in the presence of magnetic fields
- 15 Oscillation and regeneration in neutrinos and neutral K-mesons as two-level systems
- 16 Time-independent perturbation for bound states
- 17 Time-dependent perturbation
- 18 Interaction of charged particles and radiation in perturbation theory
- 19 Scattering in one dimension
- 20 Scattering in three dimensions – a formal theory
- 21 Partial wave amplitudes and phase shifts
- 22 Analytic structure of the S-matrix
- 23 Poles of the Green's function and composite systems
- 24 Approximation methods for bound states and scattering
- 25 Lagrangian method and Feynman path integrals
- 26 Rotations and angular momentum
- 27 Symmetry in quantum mechanics and symmetry groups
- 28 Addition of angular momenta
- 29 Irreducible tensors and Wigner–Eckart theorem
- 30 Entangled states
- 31 Special theory of relativity: Klein–Gordon and Maxwell's equations
- 32 Klein–Gordon and Maxwell's equations
- 33 The Dirac equation
- 34 Dirac equation in the presence of spherically symmetric potentials
- 35 Dirac equation in a relativistically invariant form
- 36 Interaction of a Dirac particle with an electromagnetic field
- 37 Multiparticle systems and second quantization
- 38 Interactions of electrons and phonons in condensed matter
- 39 Superconductivity
- 40 Bose–Einstein condensation and superfluidity
- 41 Lagrangian formulation of classical fields
- 42 Spontaneous symmetry breaking
- 43 Basic quantum electrodynamics and Feynman diagrams
- 44 Radiative corrections
- 45 Anomalous magnetic moment and Lamb shift
- Bibliography
- Index
Preface
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- Physical constants
- 1 Basic formalism
- 2 Fundamental commutator and time evolution of state vectors and operators
- 3 Dynamical equations
- 4 Free particles
- 5 Particles with spin ½
- 6 Gauge invariance, angular momentum, and spin
- 7 Stern–Gerlach experiments
- 8 Some exactly solvable bound-state problems
- 9 Harmonic oscillator
- 10 Coherent states
- 11 Two-dimensional isotropic harmonic oscillator
- 12 Landau levels and quantum Hall effect
- 13 Two-level problems
- 14 Spin ½ systems in the presence of magnetic fields
- 15 Oscillation and regeneration in neutrinos and neutral K-mesons as two-level systems
- 16 Time-independent perturbation for bound states
- 17 Time-dependent perturbation
- 18 Interaction of charged particles and radiation in perturbation theory
- 19 Scattering in one dimension
- 20 Scattering in three dimensions – a formal theory
- 21 Partial wave amplitudes and phase shifts
- 22 Analytic structure of the S-matrix
- 23 Poles of the Green's function and composite systems
- 24 Approximation methods for bound states and scattering
- 25 Lagrangian method and Feynman path integrals
- 26 Rotations and angular momentum
- 27 Symmetry in quantum mechanics and symmetry groups
- 28 Addition of angular momenta
- 29 Irreducible tensors and Wigner–Eckart theorem
- 30 Entangled states
- 31 Special theory of relativity: Klein–Gordon and Maxwell's equations
- 32 Klein–Gordon and Maxwell's equations
- 33 The Dirac equation
- 34 Dirac equation in the presence of spherically symmetric potentials
- 35 Dirac equation in a relativistically invariant form
- 36 Interaction of a Dirac particle with an electromagnetic field
- 37 Multiparticle systems and second quantization
- 38 Interactions of electrons and phonons in condensed matter
- 39 Superconductivity
- 40 Bose–Einstein condensation and superfluidity
- 41 Lagrangian formulation of classical fields
- 42 Spontaneous symmetry breaking
- 43 Basic quantum electrodynamics and Feynman diagrams
- 44 Radiative corrections
- 45 Anomalous magnetic moment and Lamb shift
- Bibliography
- Index
Summary
While writing this book I was reminded at times of what Professor Francis Low used to say when I took his class on undergraduate electromagnetism at the University of Illinois, Urbana-Champaign. “Be sure to understand the subject thoroughly,” he said, “otherwise, your only other chance will be when you have to teach it.” Knowing now what I know by having written this book, I would add that, if at that point one still does not understand the subject, there will be yet another opportunity when writing a book on it. That was certainly the case with me and this book.
For the last twenty years or so I have taught a one-year graduate course in quantum mechanics at the University of California, Riverside. I have used several books, including the text by Schiff which also happens to be the text I used when I was taking my graduate courses at the University of California, Berkeley (along with my class notes from Professor Eyvind Wichmann who taught the quantum electrodynamics course). However, it became clear to me that I would need to expand the subject matter considerably if I wanted the book not only to be as thorough and up-to-date as possible but also organized so that one subject followed the other in a logical sequence. I hope I have succeeded.
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- Quantum Mechanics with Basic Field Theory , pp. xvii - xixPublisher: Cambridge University PressPrint publication year: 2009