Course Title: Classical Mechanics
Programme: M Sc. Physics
Special Theory of Relativity is a module in the course, Classical Mechanics. This module covers the basic idea of the frame of references and the concepts of the special theory of relativity. It covers Lorentz transformation equations and Lorents velocity addition. relativistic Lagrangian and Hamiltonian are discussed in this module.
Lorentz transformation in matrix form; velocity addition; Thomas precession. Lagrangian formulation of relativistic mechanics; Application of relativistic Lagrangian to (i)motion under a constant force (ii) harmonic oscillator and (iii) charged particle under constant magnetic field.
After the successful completion of this course, a student would be able to
- Derive Lorentz transformation matrix for any arbitrary velocity
- Apply Lorentz transformation equations for problems involving system which move at relativistic velocities.
- Apply the concept of relativity to rewrite the Lagrangian and Hamiltonian for problems involving very high particle velocities.