Quantum fluctuations and random matrix theory

Maciej M. Duras

doi:10.1117/12.489003

16 May 2003 Quantum fluctuations and random matrix theory

Maciej M. Duras

Proceedings Volume 5111, Fluctuations and Noise in Photonics and Quantum Optics; (2003) https://doi.org/10.1117/12.489003
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States

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.

Citation Download Citation

Maciej M. Duras "Quantum fluctuations and random matrix theory", Proc. SPIE 5111, Fluctuations and Noise in Photonics and Quantum Optics, (16 May 2003); https://doi.org/10.1117/12.489003

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