Article ID Journal Published Year Pages File Type
1894464 Journal of Geometry and Physics 2008 10 Pages PDF
Abstract

We investigate the parameter dynamics of eigenvalues of Hamiltonians (‘level dynamics’) defined on symmetric spaces relevant to condensed matter and particle physics. In particular we: (1) identify the 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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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