Level dynamics and the ten-fold way
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0702085,
title = {Level dynamics and the ten-fold way},
author = {Alan T. Huckleberry and Marek Kus and Patrick Schuetzdeller},
journal= {arXiv preprint arXiv:math-ph/0702085},
year = {2009}
}
Comments
14 pages