Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894464 | Journal of Geometry and Physics | 2008 | 10 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
A. Huckleberry, M. Kuś, P. Schützdeller,