**Rutgers University Department of Physics and
Astronomy **

# 2006-07 Handbook for
Physics and Astronomy Graduate Students

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## Research Programs

### Statistical and Mathematical Physics

#### Professor Gerald A. Goldin

My work addresses fundamental questions in quantum physics, including the
quantization of vortex motion in ideal superfluids, the quantum field theory of
anyons in 2+1 dimensions, generalized configuration spaces for statistical and
quantum physics, non-Abelian Born-Infeld and other generalizations of the
Yang-Mills equations, and various nonlinear modifications of quantum mechanics.
My interests also include representations of infinite-dimensional Lie algebras
(current algebras) and groups as applied in quantum theory.

#### Professor Sheldon Goldstein

My research is focused primarily on the foundations of quantum mechanics,
and in particular on the heretical version of nonrelativistic quantum mechanics
known as Bohmian mechanics. The work involves both the mathematical, physical,
and conceptual analysis of Bohmian mechanics itself as well as the search for
suitable relativistic extensions. The goal is to understand exactly what
quantum theory says and why nature should be governed by anything so bizarre as
quantum theory.

#### Professor Joel Lebowitz

My work covers a wide variety of problems in equilibrium and non-equilibrium
statistical mechanics and involves a mixture of rigorous and non-rigorous
methods. The main theme of the work is the microscopic origin of macroscopic
behavior. This includes: 1) Phase transitions in equilibrium and
non-equilibrium systems; 2) Derivation of hydrodynamical equations from microscopic
kinetics; 3) Phase segregation dynamics; 4) Statistical mechanics of plasmas;
5) Time evolution of micro- and macro-quantum systems.

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Please send any comments on this page to graduate@physics.rutgers.edu.
Revised July, 2005