Courses

Principles of quantum mechanics; Time-independent Schrödinger equation; Interpretation of wave properties as probability amplitudes; Superposed energy states; Uncertainty principle; Lifetimes; Moving wave packets; One dimensional scattering; Potential wells...

Invariance of Physical Laws; relativity of time intervals; Relativity of length; Lorentz transformation; Doppler effect for electromagnetic waves; Relativistic momentum; Relativistic work and energy; Newtonian Mechanics and Relativity.

Random systems; Monte Carlo methods; Random walks, diffusion, and the Ising model; Phase transitions; Molecular dynamics; Variational and Spectral methods; Hartree-Fock method: helium atom, hydrogen ion; Periodic potentials and band structures; Self-organized...

Calculus of functions of several variables, partial differentiation, total differential, Euler's theorem on homogeneous functions; Constrained and unconstrained extrema, multiple integrals; Jacobian; Scalar and vector fields; Line, surface and volume...

Electric field and potential gradient; Gauss's law and it's applications; electric field around conductors; Dielectric medium: polar and non-polar molecules, electric polarization and bound charges; Displacement vector; Gauss's Law in dielectrics...

Radioactivity, nuclear radiation; Detection of nuclear radiation; Structure and properties of the nucleus; binding energy and nuclear forces; Fission and fusion; Applications of radioactivity – Dating, radiology, radiotherapy, analysis.

Forces between atoms and molecules and their consequences; Elastic modulae – Young's, Shear, Bulk; Poisson ratio, non-elastic behaviour; Flow properties of fluids; Continuity equation, hydrostatic equation, Euler's and Bernoulli's equations...

Limits of computation; Introduction to numerical methods—Functions and roots, Approximation, Interpolation, Systems of linear equations, Least squares, Numerical differentiation and integration, Finite differences; Realistic projectile motion;...

Laboratory experiments illustrating modern experimental techniques and error analysis

Laboratory experiments illustrating modern experimental techniques and error analysis.