CLASSICAL MECHANICS (PH 403) COURSE HOME-PAGE
PH403: Classical Mechanics 3 1 0 8
Review: Application of Newton's Laws and Conservation Laws
Lagrangian Dynamics: Mechanics
of a system of particles, constraints and generalized coordinates,
Lagrange's equations, applications. Variational calculus and Least
Central force problem: Equations of motion, orbits, Virial theorem, Kepler problem, scattering in a central force field.
Rigid body motion: Orthogonal
transformations, Euler angles, coriolis effect, angular momentum and
kinetic energy, tensors and dyadic, inertia tensor, Euler equations,
applications,heavy symmetrical top.
Hamiltonian formulation: Legendre transformations, Hamilton
equations, cyclic coordinates and conservation theorems, principle of
least action, canonical transformations, Poisson brackets, Hamilton-Jacobi theory, Action-angle variables.
Small oscillations: Eigenvalue problem, frequencies of free vibrations and normal modes,forced vibrations, dissipation.
Classical field theory: Lagrangian and Hamiltonian formulation of continuous system.
1. H. Goldstein,Poole and Safko Classical Mechanics, 3rd Edition, Pearson, (2002).
1. L. Landau and E. Lifshitz, Mechanics, Oxford (1981).
2. F. Scheck, Mechanics,5th Edition, Springer (2007).
3. Classical Mechanics, J. R. Taylor, University Science Book (2005)
Topics to be covered beyond the prescribed Syllabus (subject to the availability of time and progress of the student!)
* Perturbation theory
* Introductory Nonlinear Dynamics and Chaos
* Nonlinear waves and Solitons
Monday: 9 am -9:55 am
Tuesday: 12 pm-12:55pm (Tutorial)
Wednesday: 11 am-11:55 am
Friday: 8 am-8:55 am
Venue: Room no. 4212