Research Interests
Welcome
to my home page.
My research interests are in group theoretical methods applied to
problems in relativity and quantum mechanics.
This
little
paper shows that we have missed a very basic symmetry of Hamilton's
equations. Hamilton's equations are very
old, and so this seems rather unlikely; check
out the theorem.
(The last time we missed the symmetry on some 'basic equations', it turned out to be significant.)
UT Midsummer Theory Seminar
3:30 July 7th in RLM 7.112:
Implications of the quantum phase on relativity
- Midsummer seminar abstract (pdf)
- Talk slides (pdf)
- Talk audio track (1 hour) (mp3)
- Relativity implications of the quantum phase, paper (v2) (pdf)
- Illustration of the null surface (gif)
In the informal spirit of the summer term, there will be refreshments of Pizza and soft drinks.
The seminar covers an example topic in the application of Lie groups in physics that will be covered in a .PHY396T topics course in the fall term. The course will have three sections
- Introduction to Lie groups and algebras with applications in physics
- Topics in projective representations and unitary representations (including the Mackey theorems for unitary irreducible representations of semidirect product groups) with applications in nonrelativitistic and special relativistic quantum mechanics
- Topics in group theory application to generalizations of relativistic quantum mechanics - see the seminar abstract
Students interested in the "Applications of Lie groups in physics course in the fall term, please see .PHY396T