Module 2 of Refresher course conducted by Indian Academies of Sciences, Nov 28-Dec 3, 2016.
Venue: B S Abdur Rahman University, Vandalur, Chennai, Tamil Nadu.
The course will meet from 9am to 10:30 am and from 1:30 pm to 3pm
Topics: Classical kinematics and dynamics, Configuration and phase spaces, Newton's equations, Postulates of quantum kinematics, Superposition principle, vector spaces and linear operators, Dirac bra-ket notation, Dirac delta function, Position and momentum operators and their eigenstates, Measurement postulate, Uncertainty principle, Quantum dynamics, Schrodinger equation, Local conservation of probability density and current, Hamilton-Jacobi equation from Schrodinger equation, Ehrenfest theorem, Stationary states, Dispersion of matter waves, Harmonic Oscillator, Creation and annihilation operators, Orbital angular momentum, Laplacian on a Riemannian manifold, Square of angular momentum as Laplacian on sphere, Representations of angular momentum algebra using raising and lowering operators, Matrix elements of angular momentum components, Spin, Representations of spin angular momentum, Addition of angular momenta, Identical particles.
Some brief lecture notes are here.