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Princeton University Physics Department Princeton University

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Mathematical Physics

The mathematical physics group is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as quantum mechanics (both nonrelativistic and relativistic), atomic and molecular physics, disorder effects in condensed matter, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis, algebra and modern probability theory, to which such subjects lead.

In addition to the physics faculty, students in mathematical physics have contact with the faculty of the mathematics department.

Michael Aizenman: Disorder effects on spectra and dynamics of quantum operators, related Random Matrix phenomena; Critical behavior in systems with many degrees of freedom; Scaling limits and Field Theory; Spin glass issues. Elliott H. Lieb: Statistical mechanics, quantum and classical many-body problem, stability of matter, atomic structure, theory of magnetism, Hubbard model.
Robert Seiringer: Quantum many-body systems, statistical mechanics, Bose-Einstein condensation.  


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