Balraj Menon, PhD
PhD, Physics, Utah State University (2003)
Personal Web Page: http://faculty.uca.edu/menonb/
Symmetries and conservation laws for spacetimes admitting two commuting Killing vectors. Ph.D. dissertation, Utah State University. (2003)
First order symmetries of the two Killing vector reduced vacuum Einstein equations. Balraj Menon, Charles G. Torre (in preparation for publication).
Symmetries of the quantum oscillator. Balraj Menon (in preparation for submission to the American Journal of Physics).
- American Association of Physics Teachers
- American Physical Society
- American Mathematical Society
My research focuses on the application of differential geometry and group-theoretic methods to physics; in particular the investigation of symmetry groups and conservation laws in classical field theories like electromagnetism and general relativity and in quantum mechanics. In the past I have also investigated the Hamiltonian formulation of general relativity coupled to Yang-Mills fields. Yang-Mills fields describe the strong and electro-weak interactions in particle physics.
Over the past thirty years symmetry methods have played a significant role in advancing our understanding of a wide range non-linear physical phenomena. Interestingly, however, the application of these methods to elementary physical systems mechanics, electromagnetism and quantum mechanics remain partially unexplored. Undergraduates interested in pursuing these theoretical/mathematical issues in physics could actively participate and make significant contributions to my projects. Furthermore, my research projects will provide the student ample programming experience with the symbolic computation software Maple®.