EP : 307 QUANTUM  MECHANICS - I

(Autumn, 2006-07)

Instructor : Prof. Dipan K. Ghosh
                      Indian Institute of Technology, Bombay.
                      Powai, Mumbai - 400 076
 Contact :     Tel : 7562  e-mail : dkg@iitb.ac.in
Syllabus :

Historical background, wavefunction, superposition principle, wave packets, Schrodinger Equation, probability and current densities, expectation value, Ehrenfest's theorem.
General formalism : linear vectors and operators in Hilbert space, observables, commuting operators, momentum representation and uncertainty principle, unitary transformation.
Schrodinger and Heisenberg representation, equation of motion.
Applications : One dimensional problems, linear harmonic oscillator, polynomial solution, creation and annihilation operators.
Central forces, angular momentum,  spherical harmonics, spin, addition of angular momentum.
Motion in a well, free and bound states in Coulomb potential.

Texts/References :
1. R. Shankar, Principles of Quantum Mechanics, 2nd edn., Plenum 1994.
2. L. Landau and E. Lifsitz, Quantum Mechanics, Pergamon Press, 1965.
3. J. J. Sakurai, Modern Quantum Mechanics, Addison wesley, 1994. **
4. L. I. Schiff, quantum Mechanics, 3rd edn., McGraw Hill, 1968.
5. B.H. Bransden and C. J. Jochain, Introduction to Quantum Mechanics,
    ELBS Longman, 1989.
**  Main Text for the Course
 

Scheme of Evaluation :
Mid-semester Test : 30%
Mini Test : 20% (Including Home Assignment)
End-Semester Examination : 50%
 
 

Lecture Notes in Quantum Mechanics (pdf files)

Chapter 1                                                Problems -- 1

Chapter 2                                                Problems -- 2

Chapter 3                                                 Problems -- 3
Chapter 4                                                 Problems -- 4

A note on Dirac Delta Function     Problem - 5

Chapter 5                                                     Problem - 6

Chapter 6                                                    Problem 7
                                                                                             Problem 8

                                                                                             Solution to Problems 6 and 12 of Set 8
                                                                                             Problem 9
                                                                                             Problem10
                                                                                              Solutions to Problem Set 10

Chapter 7    

Chapter 8 
                                                                          
CHAPTER 9

CHAPTER 10

CHAPTER 11

CHAPTER 12

CHAPTER 13

CHAPTER 14

CHAPTER 15

CHAPTER 16
Chapter-17