Course Content

• UNIT I: Classical Mechanics (15 Lectures)

Co-ordinate systems, plane polar, cylindrical and spherical polar co-ordinate systems, frame of reference, rotational frame, coriolis forces. Motion of system of particles, Conservation laws, Constraints and degrees of freedom, Generalized co-ordinates, Lagrange’s and Hamilton’s formulations, Poisson’s brackets.

• UNIT II: Quantum Mechanics (15 Lectures):

Origin of Quantum Mechanics, Plank’s black body radiation, Matter waves and concept of wave function, Heisenberg uncertainty principle, Schrödinger's equation, Applications of Schrödinger time independent equation; (i) Particle in a box, (ii) Potential step, (iii) Potential barrier, (iv) Harmonic oscillator (one-dimensional) & (v) Periodic potential.

• UNIT III: Relativistic Mechanics (8 Lectures)

Michelson-Morley experiment, postulates of special relativity, Lorentz transformation, length contraction, time dilation, Doppler effect, addition of velocities, variation of mass with velocity, equivalence of mass & energy, mass less particle.