2002/11/08 by M. M. Duras, Maciej M. Duras, Duras, Maciej M.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0211150
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
openalex publication_date 2002/11/08 · arxiv created 2003/07/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.