Applications of methods of quantum statistical mechanics to two-dimensional electron systems
Statistical Mechanics
2007-05-23 v3
Abstract
The random matrix ensembles are applied to the quantum statistical two-dimensional systems of electrons. The quantum systems are studied using the finite dimensional real, complex and quaternion Hilbert spaces of the eigenfunctions. The linear operators describing the systems act on these Hilbert spaces and they are treated as random matrices in generic bases of the eigenfunctions. The random eigenproblems are presented and solved. Examples of random operators are presented with connection to physical problems.
Keywords
Cite
@article{arxiv.cond-mat/0211150,
title = {Applications of methods of quantum statistical mechanics to two-dimensional electron systems},
author = {Maciej M. Duras},
journal= {arXiv preprint arXiv:cond-mat/0211150},
year = {2007}
}
Comments
5 pages; presented as a poster at "Electron Interference and Decoherence in Nanostructures"; International Conference: November 4, 2002 - November 8, 2002; Max Planck Institute for the Physics of Complex Systems, Dresden, Germany