Physics 212B -- Quantum Mechanics II


Course Syllabus Syllabus

Lecture notes
  • Lecture 15 Rotation D-matrix and Schwinger boson (c.f. Sakurai chapter 3.9)
  • Lecture 16 Irreducible (sphericial) tensor operators (c.f Sakurai second edition chapter 3.11)
  • Supplementary materials (I) D-matrix and wavefunctions of tops (c.f. Gottfried and Yan Chapter 7.4 and 7.5 )
  • Supplemetnary materials (II) Monopole harmonics
  • Supplementary materials (III) basic knowledge on monopoles
  • Lecture 17 Discrete symmetries: time-reversal and parity (c.f. Sakurai 2nd edition Chapter 4 )
  • Recommended reading: all the rest parts of Chapter 4 that are not taught in class
  • Lecture 18 Perturbation theory I (time-independent non-degenerate) (c.f. Sakurai 2nd edition Chapter 5.1) more examples
  • Lecture 19 Perturbation theory II (time-independent degenerate) (c.f. Sakurai 2nd edition Chapter 5.2)
  • Lecture 20 Quantum transition, Fermi golden rule, spontaneous emission (c.f. Sakurai 2nd edition Chapter 5.7,5.8,5.9)
  • Lecture 21 Time-dependent problem of two energy levels - Rabi oscillations, NMR, etc (c.f. Sakurai 2nd edition Chapter 5.5)
  • Lecture 22 Path integrals for single particles (c.f. Sakurai 2nd edition Chapter 2.6)
  • Supplementary material Path integrals for quantum spin -spin coherent states
  • Supplementary material Double well, instanton
  • Lecture 23 Description of the scattering theory
  • Lecture 24 Partial-wave method (Stationary state method)
  • Lecture 25 Zero energy scattering, bound state, resonace
  • Lecture 26 (supplementary) Analaytical properties of sacattering amplitude
  • Lecture 27 Lippman-Schwinger equation, Born approximation.
  • Lecture 28 Formal theory of scattering
  • Lecture 29 U(1) Berry phase
  • Lecture 30 Geometric intepretation of Berry phase and applications. Cf. arXiv:cond-mat/0508236.
  • Lecture 31 (Supplementary) Non-Abelian Berry phase.

    Howework assignment
  • HW1: Sakurai and Napolinato, Prob 3.25, 3.32, 3.33 Due Jan 21, 2014 in class. Solution posted on Jan 29 .
  • HW2: Sakurai and Napolinato, Prob 4.4, 4.10, 4.11 Due time Jan 30, in class. Solution posted on Feb 6 .
  • HW3: Sakurai and Napolinato, Prob 5.4, 5.11, 5.14, 5.15, Due time Feb 11, in class. Solution posted on Feb 16. .
  • HW4: Sakurai and Napolinato, Prob 6.4, 6.10, 6.5 Due on March 11 (Tue) on class. Solution posted on March 12 .
  • HW5: no need to turn in. Read Quan212B_lect_29.pdf page 10, and all pages of Lecture 30.

    Midterm and Final

    Midterm . Posted on Feb 20, due on Feb 24, 10:00am. Solution posted on Feb 25.

    Final problems (due on March 21 Friday 2:00pm) . TBA .







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    Last modified: Jan 7, 2010.