Classical Mechanics-I A course given at University of Hyderabad Summer Semester May14 - July10 (2018) |
Part-I From Newton to Euler and Lagrange
- Review of Newtonian Mechanics
- Euler Lagrange Equations
- Energy Conservation, Cyclic Coordinates
Part-II Action Principle
- Hamilton's Principle
- Noether's Theorem
- Examples
Part-III Hamiltonian Form of Dynamics
- Hamiltonian Equations of Motion
- Poisson Brackets, EOM in Poisson Bracket Form
- Variational Principle in Phase Space
Part-IV Spherically Symmetric Potentials
- General Properties of Motion
- Solving Equations of Motion
- Keplar problem, bounded orbits
- Unbounded orbits
Part-V Scattering
- BasicDefinitions
- Scattering of Waves
- Why callit cross setion?
- Computing cross section
- Lab and center of mass frames
Part-VI Small Oscillations
- Oscillations in One Dimension
- A Simple Example in Two Dimensions
- Normal Frequencies and Norma lModes of Vibration
- Several Degreesof Freedom
- Examples
Part-VII Galilean Transoformations, Noninertial Frames,
- Galiliean Transformations
- Accelerated Linear Motion
- Rotation Group
- Motion in a Rotating Frame;
- Centrifugal and Coriolis Forces
Part-IX Canonical Transformations
- Variatonal Principle in Phase Space
- Canonical Transformations;
- Properties of Canonical Transfomations
- Infinitesimal Canonical Transformations
Part-X Hamilton Jacobi Theory
- Hamilton's Principal Function
- Jacobi's Complete Integral
- Time Independent Hamilton Jacobi Equation
- Solution of Separation of Variables
- Examples
Assignment, Quiz, Test and Examination Papers
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