This is the third in a 3 course sequence in quantum mechanics for undergraduates. It is a core course for 4th semester BSc physics students
QM1 and QM2 are pre-requisites for this course
The course will meet from 9:10 to 10:25 am on Mondays, Wednesdays and Fridays in the seminar hall at CMI.
The course will cover some special topics in quantum mechanics including applications of time dependent perturbation theory in atomic physics: life-time of an excited state, rates of spontaneous and stimulated emission, rate of electric dipole transitions, frequency-time relation; adiabatic theorem and approximations, dynamical and geometric phases (Berry's phase); time evolution operator for time dependent systems, time-ordered exponential, free particle propagator, Feynman path integral for free particle and particle in a potential; Aharonov-Bohm effect; harmonic oscillator coherent states, harmonic oscillator path integral, variational principle and approximations; Pauli equation for spin half electron, relativistic quantum mechanics: Klein-Gordon equation, Dirac equation, plane waves, spin and helicity, coupling to EM field, non-relativistic limit, Lorentz covariance, hydrogen fine structure, holes and anti-particles.Some brief lecture notes are here.
Problem set 1 is due by the beginning of lecture on Monday Jan 9
Problem set 2 is due by the beginning of lecture on Monday Jan 16
Problem set 3 is due by the beginning of lecture on Monday Jan 23
Problem set 4 is due by the beginning of lecture on Monday Jan 30
Problem set 5 is due by the beginning of lecture on Monday Feb 6
Problem set 6 is due by the beginning of lecture on Monday Feb 13
The mid-term exam is scheduled for 9:30 am on Thursday 23 Feb 2012 in lecture hall 6. Notes/books/discussions are not permitted. Answers must be written with a blue pen.
Problem set 7 is due by the beginning of lecture on Monday Mar 5
Problem set 8 is due by the beginning of lecture on Monday Mar 12
Problem set 9 is due by the beginning of lecture on Monday Mar 19
Problem set 10 is due by the beginning of lecture on Monday Mar 26
Problem set 11 is due by the beginning of lecture on Monday Apr 2
Problem set 12 is due by the beginning of lecture on Monday Apr 9
Problem set 13 is due by the beginning of lecture on Monday Apr 16
The final exam is scheduled for 1:30 pm on Friday 27 April 2012 at the seminar hall. Notes/books/discussions are not permitted. Answers must be written with a blue pen.