Module No.

Title

Module Contents

1

Special Relativity

a)

Swimmers in a river, Michelson-Morley experiment

b)Einstein's postulates OF Special Theory of Relativity

c)

Consequences of Einstein's postulates - length contraction, time dilation, velocity

addition

d)

Lorentz transformations (w/o derivation), spacetime intervals, simultaneity.

Length contraction, time dilation, velocity addition from Lorentz transformations

e)

Relativistic energy, momentum

f)

Mass-energy relationship, relativistic system of units

2.

E&M

a)

Electric flux, Gauss' Law, divergence operator and divergence theorem (no proof),

Gauss’s law in differential form, applications of Gauss’s law.

b)

Curl operator and Stokes theorem (no proof), Curl of electric field, electric poten-

tial.

c)

Biot-Savart’s law, Ampere’s law and applications

d)

Faraday's law, displacement current, Maxwell's equations in differential (point)

and integral (volume) form

e)

Electromagnetic wave propoagation in free space, speed of light

f)

(Lack of) invariance of Maxwell's wave equation under Galilean transformation

3a.

Prerequisites for

a)

Review of EM waves, Poynting vector, interference, diffraction.

QM

b)

Photoelectric effect

c)

Wien's law, Rayleigh Jeans, Planck's quantum hypothesis and radiation law (w/o

derivation)

d)

Compton effect

e)

de Broglie hypothesis, Davisson-Germer experiment, uncertainty relationship for

classical waves, Heisenberg uncertainty principle, wave packets, phase and group

velocity, probability and randomness

3b.

Quantum Me-

a)

Properties of waves at boundaries, standing waves in a box

chanics

b)

Schrodinger equation, probabilities, normalization

c)

Infinite potential well, finite potential well (only in 1D)

d)

Tunneling through barriers, reflection from steps

4.

Mechanics

a)

Lightning review of Newton's laws and vector notation

b)

Conservation laws: energy, momentum, angular momentum

c)

Angular momentum, torque, moment of inertia as a matrix, diagonalization to

obtain principle moments of inertia.

d)

Non-inertial frames of reference. Coriolis force. Pseudo-forces

e)

Solution of damped and forced harmonic oscillator. Resonance, q-factor.