Quantum Physics 2 (תשע"א)
This is a graduate course, given in the second semester, 3 hours each
week:
Monday 9–11 and Wednesday 9–10 in Shenkar 204
The grade will be based on exercises (20%) and the final exam (80%).
See Moodle for exercises, solutions, and (maybe) more.
Syllabus
- Scattering of wave packets — justification of the
time-independent
scattering theory.
- Time-independent formalism:
integral equation, T matrix, Lippmann–Schwinger equation,
optical theorem, S matrix and unitarity.
- First Born approximation, limit of its validity.
Diagonalization of S in angular-momentum basis — partial waves.
Phase shifts and the radial Schrödinger equation. Integral
equation for phase shifts.
- Low energy behavior of phase shifts.
Generalization to inelastic scattering.
Spin-dependent scattering.
- Isospin amplitudes. Pion–proton data.
Elastic resonances.
- Wigner–Weisskopf theory.
Application to barrier tunneling.
- Coupled channels and thresholds.
Feshbach resonance.
- Parity and time reversal, applications to scattering.
Density matrices and spin.
- Dirac equation: non-relativistic limit, Lorentz
invariance, parity.
- Zitterbewegung, Klein
paradox. Dirac theory of the hydrogen atom.
- Second quantization of Dirac equation, hole theory.
- Quantum electrodynamics: Interaction Hamiltonian, Dyson
expansion.
Graphical representation of terms in Dyson expansion.
- Calculation of cross section from S matrix element. Phase
space.
Summarize Feynman rules.
Bibliography
- General texts:
- R. H. Landau, Quantum Mechanics II
- K. Gottfried, Quantum Mechanics
- A. Messiah, Quantum Mechanics
- E. Merzbacher, Quantum Mechanics
- B. R. Holstein, Topics in Advanced Quantum Mechanics
- G. Baym, Lectures on Quantum Mechanics
- L. I. Schiff, Quantum Mechanics
- Scattering theory:
- J. R. Taylor, Scattering
Theory
- M. L. Goldberger and K. M. Watson, Collision Theory
- A. I. Baz', Ya. B. Zel'dovich, and A. M. Perelomov, Scattering,
Reactions,
and
Decay in Nonrelativistic Quantum Mechanics
- C. J. Joachain, Quantum Collision Theory
- J. M. Eisenberg and D. S. Koltun, Theory of Meson
Interaction with
Nuclei
- Dirac equation:
- J. J. Sakurai, Advanced
Quantum Mechanics
- J. D. Bjorken and S. D. Drell, Relativistic Quantum
Mechanics
- H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-Electron
Atoms
- Quantum electrodynamics:
- F. Mandl, Introduction to
Quantum Field Theory
- M. Kaku, Quantum Field Theory
- J. D. Bjorken and S. D. Drell, Relativistic Quantum
Fields
- D. S. Koltun and J. Eisenberg, Quantum Mechanics of
Many Degrees
of Freedom
- S. S. Schweber, Introduction to Relativistic Quantum
Field Theory
- Other:
- J. J. Sakurai, Invariance Principles and Elementary
Particles
- B. H. Bransden and R. G. Moorhouse, The Pion–Nucleon
System
- W. Heitler, The Quantum Theory of Radiation