Physics – Mathematical Physics
Scientific paper
2007-02-25
Physics
Mathematical Physics
14 pages
Scientific paper
10.1016/j.geomphys.2008.04.007
We investigate the parameter dynamics of eigenvalues of Hamiltonians ('level dynamics') defined on symmetric spaces relevant for condensed matter and particle physics. In particular we: 1) identify appropriate reduced manifold on which the motion takes place, 2) identify the correct Poisson structure ensuring the Hamiltonian character of the reduced dynamics, 3) determine the canonical measure on the reduced space, 4) calculate the resulting eigenvalue density.
Huckleberry Alan T.
Kus Marek
Schuetzdeller Patrick
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