What question did this study set out to answer?

This research aims to explore the behavior of level fluctuations in chaotic quantum systems.

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January 2, 1984

Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws

Key Points

This research aims to explore the behavior of level fluctuations in chaotic quantum systems.
Analyzed the quantum levels of Sinai's billiard
Compared findings with predictions from the Gaussian orthogonal ensemble of random matrices
Level fluctuations of the quantum Sinai's billiard match predictions from random matrices
Supports the theory of universal level fluctuation laws

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.

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Authors

O. Bohigas

Institut de Robòtica i Informàtica Industrial

M.J. Giannoni

Centre National de la Recherche Scientifique

C. Schmit

Tirol Kliniken

Journals

Physical Review Letters

Actions

Institutions

Institut de Physique

References and Citations

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Cite this study

Bohigas et al. (Mon,) studied this question.

synapsesocial.com/papers/6a0ec36cc12540356222a8e1 — DOI: https://doi.org/10.1103/physrevlett.52.1

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Also consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Random-matrix physics: spectrum and strength fluctuations· 1981 · 2,148 citations
Level clustering in the regular spectrum· 1977 · 1,389 citations
Statistical Behavior of Atomic Energy Levels: Agreement with Random-Matrix Theory· 1983 · 130 citations
On the connection between quantization of nonintegrable systems and statistical theory of spectra· 1980 · 389 citations
Spectrum and Eigenfunctions for a Hamiltonian with Stochastic Trajectories· 1979 · 606 citations

Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study

Also consider

Also consider