[2018CM/LNNP-Archive] --- Summer Course @ University of Hyderabad

Review of Newtonian Mechanics
Euler Lagrange Equations Energy Conservation,
Cyclic coordinates
Reducing Solution to Quadratures

Hamilton's Principle\
Noether's Theorem; Examples

Hamiltonian Form of Dynamics; Poisson Brackets
Variational Principle in Phase Space

Small Oscillations in One Dimension
An Example in Two Dimension
Normal coordinates and Normal Modes of Vibration
Lagrangian Formalism; Examples

General Properties of Motion\\ Solving Equation of Motion
Keplar Problem, Bounded Orbits Unbounded orbits

Flux, Scattering, Total Cross Section, Differential Cross Section
Cross Section for Waves; Why call it Cross Section? Computing Cross Section
Lab and Center of Mass Frames

Galiliean Transformations;
Accelerated Frames
Rotation Group;Motion in a Rotating Frame
Centrifugal and Coriolis Forces; Examples

Action Principle in Phase Space
Canonical Transformations and Poisson Brackets Four Types of Generators
Infinitesimal Canonical Transformations

Hamilton Jacobi Equation
Hamilton's Principal Function
Jacobi's Complete Integral