Quantum fluctuations and random matrix theory
arXiv:cond-mat/0303262 · doi:10.1117/12.489003
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.
6 pages; "Fluctuations and Noise in Photonics and Quantum Optics", D. Abbott, J. H. Shapiro, Y. Yamamoto, Eds.; Proceedings of SPIE; Society of Photo-optical Instrumentation Engineers, Bellingham, WA, USA, Vol. 5111, 456-459 (2003)
References in corpus (2)
Cited by in corpus (4)
- Simulations of fluctuations of quantum statistical systems of electrons
- Fluctuations of Quantum Statistical Two-Dimensional Systems of Electrons
- Maximum entropy principle and quantum statistical information functional in random matrix ensembles
- Quantum fluctuations of systems of interacting electrons in two spatial dimensions