611 Statistical Mechanics
Basic: Laws of thermodynamics-definitions, temperature scales, heat transfer by conduction, properties of ideal gas, relation between
temperature and kinetic energy,
Maxwell distribution, work and PV diagrams, Carnot cycle.
I will assume that you are familiar with
(I) Undergraduate Thermodynamics
at the level of
or Rutgers placement test program, which includes
Intermediate: Thermodynamic variables, macro and micro states,
heat engines and refrigerators, thermodynamic potentials, kinetic theory, phase transititions, transport phenomena, Van der Waals gas.
Advanced: Boltzmann distribution, phase transformations in binary mixtures, statistics of ideal quantum systems, black body radiation,
Basic: Lagrangian mechanics, invariance under point transformations,
generalized coordinates and momenta, curved configuration space,
phase space, dynamical systems, orbits in phase space, phase space flows, fixed points, stable
canonical transformations, Poisson brackets, differential forms,
Liouville's theorem, the natural symplectic 2-form and generating
functions, Hamilton-Jacobi theory.
integrable systems, adiabatic invariants.
(II) Graduate Classical Mechanics
at the level
Rutgers challenge exam program:
(III) Graduate Quantum Mechanics
at the level
Rutgers challenge exam program :
Basic: Vector spaces,
eigenvalues and eigenvectors,
position and momentum operators,
one dimensional potentials,
symmetries in quantum mechanics,
translations and rotations in two dimensions,
hydrogen atom, energy levels, degeneracy,
spin, Pauli matrices.