Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws¶
Bohigas, O., Giannoni, M., & Schmit, C. (1984). Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws. Physical Review Letters, 52(1), 1-4.
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Primes¶
- Universality
- Wigner–Dyson eigenvalue statistics recur across nuclear energy levels, quantum billiards, and deep-network Jacobians, so the spectral picture transfers across all three.
This sourceEstablishes the universality of Wigner–Dyson level statistics across chaotic quantum systems (the BGS conjecture), the spectral signature recurring across nuclear levels and quantum billiards regardless of microscopic detail.
- Wigner–Dyson eigenvalue statistics recur across nuclear energy levels, quantum billiards, and deep-network Jacobians, so the spectral picture transfers across all three.
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