Quantum Physics
Inadequacies of classical physics and quantum mechanical evolution. Wave-particle
duality. De Broglie Hypothesis. Heisenberg uncertainty principle. Wave function.
probability density. Measurements, operators, observables and commutators. Eigen
values and eigen functions of operators. Time dependent Schrödinger equation,
Conservation of probability and probability current density. Time independent
Schrödinger equation and application for a particle moving in zero potential,
Step potential, Barrier potential, Square well potential and square box potential.
Quantum tunnelling. Simple harmonic oscillator. Angular momentum. Hydrogen atom.
Spin. Exclusion principle, Multi-electron atoms and chemical structure of the
elements.
Special Theory of Relativity
Classical mechanics and its limitations, Galilean transformation, Michelson
Morley experiment, Postulates of special theory of relativity, Lorentz transformations,
Length contraction, Time dilation and Twin paradox, Relativistic velocity transformation,
Relativistic dynamics, Equivalence of mass and energy, Space-time and geometrical
representation.
Atomic and Nuclear Physics
Plasma state of matter; Discovery of the electron, Mass spectrometer, Interaction
of radiation with matter, Structure of atom; Rutherford scattering, Bohr theory,
Atomic spectra, X-rays, Rayleigh scattering, Raman scattering.
Structure of the nucleus, Nuclear stability, Nuclear binding energy, Radioactivity,
Fission and fusion, Nuclear reactors, Nuclear reactions, Particle accelerators,
Detection of charged particles, Cosmic rays, Elementary particles, Quark model,
Basic building blocks of the universe.