Wave chaos in quantum systems with point interaction

DOI10.1007/BF01057882zbMath0943.37511MaRDI QIDQ1279341

Sergio A. Albeverio, Petr Šeba

Publication date: 4 September 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

quantizationrandom matrix theoryquantum chaospoint interactionssolvable models of quantum mechanicsPoisson level statisticsspacing of eigenvalueswave chaosWigner statistics

Mathematics Subject Classification ID

Quantum chaos (81Q50) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (11)

S-matrix, resonances, and wave functions for transport through billiards with leads ⋮ Spectral properties of quantum circulant graphs ⋮ Point interactions on bounded domains ⋮ Two simple systems with cold atoms: quantum chaos tests and non-equilibrium dynamics ⋮ Value distribution of the eigenfunctions and spectral determinants of quantum star graphs ⋮ Singular statistics revised ⋮ Point interaction Hamiltonians in bounded domains ⋮ Resonances and partial delocalization on the complete graph ⋮ On the ubiquity of the Cauchy distribution in spectral problems ⋮ Localized eigenfunctions in Šeba billiards ⋮ Microwave studies of the spectral statistics in chaotic systems

Cites Work

• Quantum signatures of chaos. With a foreword by H. Haken
• Regular and stochastic motion
• Perturbation of self-adjoint operators by Dirac distributions
• Wave chaos in singular quantum billiard
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
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