### Stephen Fulling -- Mathematical Physics

Other tenure-track faculty in the TAMU math department
who might be classed broadly
as "mathematical physicists" include Peter Kuchment, Francis
Narcowich, Guy Battle, Philip Yasskin, Alex Poltoratski, Andrew
Comech, Gregory Berkolaiko, Dean Baskin, Boris Hanin, Junehyuk
Jung, Eric Rowell, and Yaroslav and
Mariya Vorobets. (Explore their web pages.) I am the only one
with a joint
appointment in
the physics department, my degrees are in physics, and I
(sometimes) 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 two
decades 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
/~fulling/
-- especially

*Last updated Mon 11 Mar 2019*