Applications of methods of quantum statistical mechanics to two-dimensional electron systems

Details Applications of methods of quantum statistical mechanics to two-dimensional electron systems Applications of methods of quantum statistical mechanics to two-dimensional electron systems

2002-11-08

arxiv.org/abs/cond-mat/0211150v3

Physics

Condensed Matter

Statistical Mechanics

5 pages; presented as a poster at "Electron Interference and Decoherence in Nanostructures"; International Conference: Novembe

Scientific paper

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.

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