This is a graduate level advanced course on quantum mechanics. The materials that will be covered in this course are outlined below. If you have taken PHYS-5606 (Quantum Mechanics-I), or an excellent undergraduate course on Quantum Mechanics (modern approach using bra-ket notations), then most likely you will be doing fine. If you have difficulties in the first few lectures, then see me immediately; may be, I will be able to help you. The format of the course, tests, grading procedures etc. are very similar to PHY-5606 and is outlined below.

Homework:

Homeworks will be an indispensable part of going on with and doing well in the course. Almost every week I will assign homework which will be graded. Nothing could be better than if you get together in small groups and initiate pertinent discussions. I also strongly encourage you to see me at my office for discussions, questions about HWs, etc.. Your comments (sooner is the better) will definitely help me to design better teaching strategies, or even course contents. You can also communicate through e-mail. But I urge that you do the homeworks yourselves.

Group Assignments :

There will be several group assignments; the idea is to collectively carry out some long calculation, which otherwise may be very time consuming. This will also give you opportunities to exchange different ideas, concepts, etc..

Tests:

There will be two Midterms (in class and closed books/notes) and a comprehensive Final .
Midterms are in class tests; the day and the format of the tests will be discussed in the class
Final exam is scheduled from 16:00-18:50, on Wednesday, April 23, 2003 .

Grades:

Your final grade will be determined by your overall performance weighted in the following manner:

Homework-40%, Midterm I-15 %, Midterm II-15 %, Final -30 %

I will adopt +/- grading policy; {\em i.e.}, your grade can be of any of the following:
A-, A, B-, B, B+,C-, C, C+.

References

I strongly urge that you look at other useful books in the library and following listed below:

• Quantum Mechanics, Landau & Lifshitz
• Quantum Mechanics: A modern introduction, A. Das & A. C. Melissinos
• The Principles of Quantum Mechanics, P. A. M. Dirac
• Quantum Mechanics concepts and application; Nouredine Zettili

• Addition of angular momenta: Example: Spin-1/2 problem, spin singlet and triplet states. General case: Representation of total spin, Direct Product and Irreducible representation & Clebsch-Gordan(CG) coefficients.
  
  
• Infinitesimal rotation in Quantum Mechanics, Construction of finite rotation, representation of a rotation operator, rotation matrices, Matrix elements of Tensor Operators & Wigner-Eckart theorem
  
  
• Application of CG technology and Wigner-Eckart theorem: Isotopic Spin; Spin-orbit interaction and fine structure, Zeeman and Paschen-Back Effects.
  
  
• Schrodinger, Heisenberg, and Interaction picture. Precession of spin-1/2 particle in Heisenberg representation; Spin Dynamics: spin precession and resonances, maser and atomic clock
  
  
• Time dependent perturbation theory; adiabatic and harmonic perturbation, interaction of radiation with matter, Fermi golden rule
  
  
• Introduction to Scattering: Representation of free particle wave function in spherical-polar co-ordinates, Differential cross-section, The Born Approximation, Partial waves, Calculation of scattering cross-sections.
  
  
• N-particle systems; identical particles; Bosons and Fermions; Quantum chemistry: energy levels of atoms and molecules; The Helium atom
  
  
• Hartree and Hartree-Fock approximations
  
  
• Introduction to second quantization
  
  
• Introduction to Dirac equation and its applications