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Proceedings Paper

Quantum fluctuations and random matrix theory
Author(s): Maciej M. Duras
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Paper 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.

Paper Details

Date Published: 16 May 2003
PDF: 4 pages
Proc. SPIE 5111, Fluctuations and Noise in Photonics and Quantum Optics, (16 May 2003); doi: 10.1117/12.489003
Show Author Affiliations
Maciej M. Duras, Cracow Univ. of Technology (Poland)

Published in SPIE Proceedings Vol. 5111:
Fluctuations and Noise in Photonics and Quantum Optics
Derek Abbott; Jeffrey H. Shapiro; Yoshihisa Yamamoto, Editor(s)

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