Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws

1984/01/02 by O. Bohigas, M.J. Giannoni, C. Schmit · 68 citations
Physics and Astronomy · Computer Science · #Quantum chaos and dynamical systems #Nonlinear Dynamics and Pattern Formation #Chaos control and synchronization #Universality (dynamical systems) #Chaotic #Spectral line #Physics #Quantum #Statistical physics #Quantum mechanics #Characterization (materials science) #Law #Computer science #Optics

paper · doi:10.1103/physrevlett.52.1

openalex publication_date 1984/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

It is found that the level fluctuations of the quantum Sinai's billiard are consistent with the predictions of the Gaussian orthogonal ensemble of random matrices. This reinforces the belief that level fluctuation laws are universal.

Citations

• Random-matrix physics: spectrum and strength fluctuations
• Level clustering in the regular spectrum

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