Relativistic Mechanics (Optional Paper)
Relative Character of space and time, Principle of Relativity and its postulates, Derivation of special Lorentz transformation equations, Composition of Parallel velocities, Lorentz-Fitzgerald contraction formula,
Relative Character of space and time, Principle of Relativity and its postulates, Derivation of special Lorentz transformation equations, Composition of Parallel velocities, Lorentz-Fitzgerald contraction formula.
Relativistic aberration and its deduction to Newtonian theory. Variation of mass with velocity, Equivalence of mass and energy, Transformation formulae for mass, Momentum and energy, Problems on conservation of mass, Momentum and energy.
Problems on conservation of mass, Momentum and energy, Relativistic Lagrangian and Hamiltonian. Minkowski space, Space-like, Time-like and Light-like intervals.
Null cone, Relativity and Causality, Proper time, World line of a particle. Principles of Equivalence and General Covariance.
1. Tolman R.C. Relativity, Thermodynamics and Cosmology, Oxford University Press.
2. Synge J.L.,Relativity the Special and General, North Holland Publishing Company,
Amsterdam.
3. Eddention A.S., The Mathematical Theory of Relativity, Cambridge University Press (2010).
1. David Agmon, Paul Gluck: Classical and Relativistic Mechanics (2009)
2. Robert J. A. Lambourne, Relativity, Gravitation, and Cosmology , Cambridge University Press (2010).
3. S. Aranoff , Equilibrium in special relativity , Società Italiana di Fisica (1972).
