GEN ENG 519 or CHEM 519 Responsible Conduct of Research Training

Should be taken in the first year. The goal of Responsible Conduct of Research (RCR) training is for anyone involved in research to perform the most ethical research possible. Northwestern University has in place a number of policies that clearly demonstrate our commitment to research integrity. Collectively, these apply to all members of Northwestern's research enterprise: students/trainees, staff and faculty.

MAT SCI 401 Chemical & Statistical Thermodynamics of Materials

The following topics in classical thermodynamics will be covered: the laws of thermodynamics; conditions for equilibrium; solutions; excess quantities; binary and ternary phase diagrams. Additionally, the following topics in statistical thermodynamics will be covered: statistical definition of entropy; ensembles and the Boltzmann and Gibbs distributions; quantum and classical ideal gasses; and the regular solution model.

The topics covered will include a subset of: techniques for the solution of differential equations; approximations such as the method of steepest descent; techniques for integration; complex analysis; the special functions of mathematical physics; usage of Greens functions and eigen functions to solve differential equations; introduction to groups and group representations.

First quarter: Vector spaces and linear operators, postulates of quantum mechanics, observables and Hermitian operators, state vectors and quantum dynamics, stationary states, bound states, the harmonic oscillator, statistical interpretation and the Uncertainty Principle, symmetry and conservation laws, quantization of angular momentum, intrinsic spin, the Stern-Gerlach experiment, spherically symmetric potentials.

Second quarter: Feynman's path integral formulation, the classical limit, Schroedinger's wave equation, electromagnetic potentials, Aharonov-Bohm effects, Landau levels, Coulomb potential, approximation methods, variational principles, bound-state perturbation theory, Dirac's theory of the electron, electron spin, Dirac-Pauli equation, magnetic moment of the electron, fine structure of hydrogen, hyperfine interactions.

This course provides and overview of solid state physics including free electron theory, phonons, energy bands, charge transport, semiconductors, optical properties, dielectric properties, ferroelectrics, diamagnetism, paramagnetism, and magnetic ordering.

First quarter: Vector spaces and linear operators, postulates of quantum mechanics, observables and Hermitian operators, state vectors and quantum dynamics, stationary states, bound states, the harmonic oscillator, statistical interpretation and the Uncertainty Principle, symmetry and conservation laws, quantization of angular momentum, intrinsic spin, the Stern-Gerlach experiment, spherically symmetric potentials.

Second quarter: Feynman's path integral formulation, the classical limit, Schroedinger's wave equation, electromagnetic potentials, Aharonov-Bohm effects, Landau levels, Coulomb potential, approximation methods, variational principles, bound-state perturbation theory, Dirac's theory of the electron, electron spin, Dirac-Pauli equation, magnetic moment of the electron, fine structure of hydrogen, hyperfine interactions.

Periodic potentials, crystal lattices, x-ray diffraction. Electrons in metals: Drude model, electrons in periodic potentials, semiclassical approximation, Fermi surface, band structure. Electronic and thermal transport, Boltzmann equation, electron-electron interactions, screening.

One of the two classes MatSci 405 or Physics 422-1 is required and may be taken in the first or second year.

During your first eight quarters, when you are not taking at least three courses (i.e. during summers and your second year), you will register for APP PHYS 590

After the third year, students should register for TGS 500: Advanced Doctoral Studies