Advanced Quantum Mechanics

contents

references

evaluation

Homeworks+FinalExamGrades

Venue for TA class, F2 (ground floor physics dept.), Tuesday 13:00- 15:00

Homeworks:

hw1, hw2, hw3, hw4, hw4-Upgraded, hw5, hw6, hw7, hw8, hw9, hw10, SampleProblems and Answers
FinalExam + Answers(FinalExam)

Contents

  • Fundamental concepts

  • Linear algebra, kets, bras and operators

  • Observables and measurements

  • Time evolution in quantum mechanics

  • Propagators and Feynman path integrals

  • Potentials and gauge transformations

  • Topology and path integral

  • Application of path integral in statistical mechanics

  • Rotation and angular momentum

  • Angular momentum algebra

  • Spin correlation measurements

  • Symmetry and conservation laws

  • Discrete symmetries

  • Identical particles

  • Second quantization

  • Green's function and Lippmann-Schwinger equation

  • Scattering

  • Relativistic quantum mechanics (Klein-Gordon and Dirac equations)

  • ............

References 

1- Modern Quantum Mechanics (J. J. Sakurai)

2- Quantum Mechanics (Leslie E. Ballentine)

3- The Principles of Quantum Mechanics (P. A. M. Dirac)

4- Quantum Mechanics (E. Merzbacher)

5- Principles of Quantum Mechanics (R. Shankar)

6- Quantum and statistical field theory (M. Le Bellac)

7- Statistical mechanics, a set of lectures (R. P. Feynman)

8- Quantum field theory (L. H. Ryder)

9- The quantum theory of fields (S. Weinberg)

10- Advanced quantum mechanics (J. J. Sakurai)

11- Path integral methods and applications (R. MacKenzie, arXiv:quant-ph/0004090)

Evaluation

The final grade is based on the following three items:

Home works (% 35) (TA class in F2, Tuesday 13:00- 15)

Mid-term exam (% 35), scheduled on: Tuesday 3 Azar 1388 (8:15 – 10:30)

Final exam (% 35), schedule will be given by the educational affairs