Classical Mechanics lecture notes
Theory of relativity lecture notes
Unit 2 : Classical Mechanics and Relativity
Theory of relativity lecture notes
Unit 2 : Classical Mechanics and Relativity
Lagrangian and Hamiltonian formulations – Newton’s equations and conservation laws for a
system of particles – D’Almebert’s principle and Lagrange’s equations of motion –
Hamiltonian and Hamilton’s equation of motion – Application: Two-body central force
problem – Scattering by central potential, two particle scattering – Cross section in Lab
system-Small oscillations - Transformation to normal coordinates and frequencies of normal
modes - Mechanics of rigid bodies: Angular momentum and kinetic energy – Moment of
inertia tensor – Euler angels – Euler’s equation of motion – Torque free motion – Symmetric
top – Wave motion – Phase velocity - Group velocity – Dispersion – Relativity: Special theory
of relativity – Lorentz transformation – Addition of velocities – Mass - energy equivalence.
