
Physics
611 Statistical Mechanics
(Spring 2018)

I will assume that you are familiar with
(I) Undergraduate Thermodynamics
at the level of
351
or Rutgers placement test program, which includes
Basic: Laws of thermodynamicsdefinitions, temperature scales, heat transfer by conduction, properties of ideal gas, relation between
temperature and kinetic energy,
Maxwell distribution, work and PV diagrams, Carnot cycle.
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,
BoseEinstein condensation.


(II) Graduate Classical Mechanics
at the level
507 or
Rutgers challenge exam program:
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
and unstable,
canonical transformations, Poisson brackets, differential forms,
Liouville's theorem, the natural symplectic 2form and generating
functions, HamiltonJacobi theory.
integrable systems, adiabatic invariants.
(III) Graduate Quantum Mechanics
at the level
501
or
Rutgers challenge exam program :
Basic: Vector spaces,
eigenvalues and eigenvectors,
position and momentum operators,
Schroedinger equation,
one dimensional potentials,
harmonic oscillator,
symmetries in quantum mechanics,
identical particles,
translations and rotations in two dimensions,
hydrogen atom, energy levels, degeneracy,
spin, Pauli matrices.

