Noah Graham

Intermediate Electromagnetism
The unified description of electricity and magnetism is one of the greatest triumphs of physics. This course provides a thorough grounding in the nature of electric and magnetic fields and their interaction with matter. Mathematical techniques appropriate to the solution of problems in electromagnetism are also introduced. The primary emphasis is on static fields, with the full time-dependent Maxwell equations and electromagnetic waves introduced in the final part of the course. (PHYS 0110; PHYS 0201 or by permission; PHYS 0212) 3 hrs. lect./1 hr. disc.

Statistical Mechanics
This course is a study of statistical mechanics and its applications to a variety of classical and quantum systems. It includes a discussion of microstates, macrostates, and entropy, and systematically introduces the microcanonical, canonical, grand canonical, and isobaric ensembles. This underlying theory is applied to topics including classical thermodynamics, the equipartition theorem, electromagnetic blackbody radiation, heat capacities of solids, and ideal classical and quantum gases, with a focus on Bose-Einstein condensation and degenerate Fermi systems. (PHYS 0202 and PHYS 0212) 3 hrs. lect.

General Relativity
Among the forces of nature, gravity is both the most familiar and the least well-understood. A hundred years after it was formulated by Einstein, General Relativity remains our best fundamental theory of gravity. In this course we will see how gravity emerges from the geometry of curved spacetime and how this picture leads to phenomena such as black holes, gravitational waves, and the expansion of the universe. (MATH 0200, PHYS 0201, and PHYS 0212) 3 hrs. lect.

Quantum Mechanics
A fundamental course in quantum mechanics aimed at understanding the mathematical structure of the theory and its application to physical phenomena at the atomic and nuclear levels. Topics include the basic postulates of quantum mechanics, operator formalism, Schrödinger equation, one-dimensional and central potentials, angular momentum and spin, perturbation theory, and systems of identical particles. (PHYS 0202 and PHYS 0212; MATH 0200 recommended) 3 hrs. lect.

Quantum Mechanics from Linear Algebra
The mysterious and surprising predictions of quantum mechanics, such as uncertainty in measurement and the failure of determinism, can be best understood through the language of linear algebra. In this course we will use eigenvectors and eigenvalues, dot products, and the Cauchy-Schwarz inequality to develop the fundamental postulates of quantum mechanics and their predictions for the behavior of quantum systems. We will focus particularly on spin systems, which have applications to areas ranging from quantum computing to magnetic resonance imaging to quaternion methods for 3-D graphics and motion tracking. No prior physics experience is assumed apart from basic familiarity with concepts such as momentum, energy, and electric charge. (MATH 0122, MATH 0200, and introductory physics at the high school or college level.)