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Paul Bracken, Ph.D. Associate Professor |
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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.
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| Research Interest: |
Differential Equations, and Geomerty applied to problems in Mathematical Physics and Physics, Integrable systems quantum field theory and quatization
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| Recent Selected Publications: |
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"Hamiltonian Formulation of Yang-Mills Theory and Gauge Ambiguity in Quantization," Canadian J Phys. 81, 545-554 (2003) |
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"Factorization of Second Order Matrix Differential Operators and a Matrix Darboux Transformation," Canadian J. Phys. 81, 977-988 (2003) |
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"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 |
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"A Geometric Structure for Quantum Mechanics," International J. of Theoretical Physics, 42, 4 , 775-781 (2003) |
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| E-mail: bracken@utpa.edu |
| Phone: (956) 381-3457 |
| Office: MAGC 3.606 |
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