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6 papers · 1 filter
Phase Space Quantum Mechanics on the Anti-De Sitter Spacetime and its Poincaré Contraction
A. M. El Gradechi, S. De Bièvre
In this work we propose an alternative description of the quantum mechanics of a massive and spinning free particle in anti-de~Sitter spacetime, using a phase space rather than a s…
Darboux Coordinates and Liouville-Arnold Integration in Loop Algebras
M. R. Adams, J. Harnad, J. Hurtubise
Darboux coordinates are constructed on rational coadjoint orbits of the positive frequency part $\wt{\frak{g}}^+$ of loop algebras. These are given by the values of the spectral pa…
Isospectral flow in Loop Algebras and Quasiperiodic Solutions of the Sine-Gordon Equation
J. Harnad, M. -A. Wisse
The sine-Gordon equation is considered in the hamiltonian framework provided by the Adler-Kostant-Symes theorem. The phase space, a finite dimensional coadjoint orbit in the dual s…
Matrix Nonlinear Schrödinger Equations and Moment Maps into Loop Algebras
J. Harnad, M. -. Wisse
It is shown how Darboux coordinates on a reduced symplectic vector space may be used to parametrize the phase space on which the finite gap solutions of matrix nonlinear Schrödinge…
Generalized Drinfeld-Sokolov Reductions and KdV Type Hierarchies
L. Feher, John Harnad, I. Marshall
Generalized Drinfeld-Sokolov (DS) hierarchies are constructed through local reductions of Hamiltonian flows generated by monodromy invariants on the dual of a loop algebra. Followi…
Differential cross-sections and escape plots for low energy BPS magnetic monopole dynamics
M. Temple-Raston, D. Alexander
We compute the low-energy classical differential scattering cross-section for BPS magnetic monopoles using the geodesic approximation to the actual dynamics and 16K paralle…