##
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.

##
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 .

##
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 .

Back to home
Last modified: Jan 7, 2010.