ICTS Course no.: PHY-204.5
Venue: Online
Class timings: Wednesday 03:40 to 05:30 pm & Saturday 02:00 to 3:30 pm
First meeting: 22nd January 2022
Course description:
Recap:
Recap of Newton's laws and their consequences - System of point masses, Rigid Bodies
Classical driven-dissipative systems
Lagrangian Formulation:
Principle of least action
Noether's Theorem, Symmetries - Small Oscillations, Applications
Rigid body motion:
Euler Angles - Tops
Hamiltonian formulation:
Liouville's Theorem
Action-Angle variables
Hamilton-Jacobi Equations
Dynamical Systems and Chaos
1D Flows and Bifurcation
2D Flows, Limit Cycles, Bifurcations
Chaos: Lorenz Systems, Fixed Points, Attractors, and Fractals - KAM theory (time permitting)
Books:
Landau Lifshitz course on theoretical physics: Vol 1: Classical Mechanics
Classical Mechanics by Herbert Goldstein, Charles P. Poole, John L. Safko
Other books/references especially for the last topic will be given in class periodically.
Evaluation: 40% Assignments + 30% Mid Semester exam + 30% End SemesterExam- Teacher: Samriddhi Sankar Ray