### Stephen Fulling -- Mathematical Physics

Permanent faculty in the TAMU math department who might be
classed
as "mathematical physicists" include Peter Kuchment, Francis
Narcowich, Guy Battle, Philip Yasskin, Alex Poltoratski, Dmitry
Panchenko, Andrew Comech, Gregory Berkolaiko, and Yaroslav and
Mariya Vorobets. I am the only one with a joint appointment in
the physics department, my degrees are in physics, and I have
funding from the physics division of NSF. As a physicist, my
interests are in quantum theory, general relativity, and their
areas of overlap. As a mathematician, I'm concerned with linear
partial differential equations as they apply to physical problems
in modern ramifications of familiar ways: the spectral theory
and asymptotics of differential operators. In the past decade I
have been concerned primarily with two related topics: (1)
Semiclassical approximations: how solutions of PDEs are related
to (sometimes constructible from) the orbits of associated
systems of ODEs (e.g., wave functions to classical mechanics, or
wave optics to ray optics). (2) Quantum vacuum (Casimir) energy
associated with the zero-point
oscillations of the normal modes
of a field. I have worked with quite a few graduate and
undergraduate students from either or both departments.
Please examine
http://www.math.tamu.edu/~fulling/
-- especially