Paul Bracken, Ph.D.


Paul Bracken, Ph.D.
Associate Professor
 
Education: 
 • Ph.D. in Applied Mathematics, University of Waterloo, 1995.
 • M.S. in Physics, University of Guelph, 1982.
 • B.S. in Mathematics and Physics, University of Toronto, 1980.
 
Research Interest:
Differential Equations, and Geomerty applied to problems in Mathematical Physics and Physics, Integrable systems quantum field theory and quatization 
 
Recent Selected Publications:
 •  "Hamiltonian Formulation of Yang-Mills Theory and Gauge Ambiguity in Quantization," Canadian J Phys. 81, 545-554 (2003)
 •  "Factorization of Second Order Matrix Differential Operators and a Matrix Darboux Transformation," Canadian J. Phys. 81, 977-988 (2003)
 •  "On Vortex Solutions and Links between the Weierstrass System and the Complerx Sine-Gordon Equations," Journal of Nonlinear Math Phys. 10, 4 , 464-486 (2003). with P Goldstein and A M Grundland
 •  "A Geometric Structure for Quantum Mechanics," International J. of Theoretical Physics, 42, 4 , 775-781 (2003)
 
E-mail: bracken@utpa.edu
Phone: (956) 381-3457
Office: MAGC 3.606
 
Home Page