2008/08/31 by Petr Seba, P. Šeba, Daniel Vašata +1
Mathematics · Physics and Astronomy · #CHAOS (operating system) #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Discrete spectrum #Distribution (mathematics) #Eigenvalues and eigenvectors #Gaussian #Geometry #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Physics #Point (geometry) #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum dynamics #Quantum mechanics #Quantum system #Random matrix #Scale (ratio) #Simple (philosophy) #Spectrum (functional analysis) #Statistical physics #Theoretical and Computational Physics #quant-ph
paper · pdf · doi:10.1016/j.physleta.2008.12.052
11 pages, 5 figures
arxiv created 2009/01/04 · openalex publication_date 2009/01/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a simple one-dimensional quantum system on a circle with n scale free point interactions. The spectrum of this system is discrete and expressible as a solution of an explicit secular equation. However, its statistical properties are nontrivial. The level spacing distribution between its neighboring odd and even levels displays a surprising agreement with the prediction obtained for the Gaussian Orthogonal Ensemble of random matrices.