Course

P601 - Classical Mechanics

Course No: 
P601
Credit: 
4
Approval: 
PG-Core
Syllabus: 
  1. Two-body Central force problem (reduced mass), planet orbits,Virial theorem.
  2. Collisions and scattering, CM and lab frames, scattering cross section.
  3. Motion in non-inertial frames, Coriolis force.
  4. principle of virtual work, constraints, D Alemberts principle.
  5. Generalized coordinates, velocities and momenta, Lagranges formulation.
  6. principle of list action, fomulation by Maupertuls, Euler, Hamilton, Liouvilles theorem.
  7. Hamilton's equations, poisson brackets.
  8. Canonical transformation, Hamilton-Jacobi equation, Generating functions, Symetries and conservation laws.
  9. Small oscillations, Normal modes.
  10. Rigid body dynamics, Euler angles, Euler equations (should solve up to rotation of a top) .
Reference Books: 
  1. H.Goldstein-Classical mechanics
  2. Morion and Thorton- Introduction to classical mechanics.
  3. Landau & lifshitz-Mechanics
  4. John R Taylor- classical mechanics
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