Semiclassical criterion for scars in wave functions of chaotic systems

DOI10.1103/PhysRevLett.73.806zbMath1020.81583WikidataQ74554191 ScholiaQ74554191MaRDI QIDQ4492233

Shmuel Fishman, Oded Agam

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Mathematics Subject Classification ID

Quantum chaos (81Q50) Computational methods for problems pertaining to quantum theory (81-08) Software, source code, etc. for problems pertaining to quantum theory (81-04)

Related Items (12)

Semiclassical formulae for Wigner distributions ⋮ Relativistic quantum chaos ⋮ Quantum chaos in quantum wells. ⋮ On the special role of symmetric periodic orbits in a chaotic system. ⋮ Quantum fractal eigenstates. ⋮ Maximal scarring for eigenfunctions of quantum graphs ⋮ Parametrically excited ‘scars’ in Bose–Einstein condensates ⋮ Quantization of generic chaotic \(3\)D billiard with smooth boundary. II: Structure of high-lying eigenstates. ⋮ Perspectives on relativistic quantum chaos ⋮ Manifestation of scarring in a driven system with wave chaos ⋮ Linear and nonlinear theory of eigenfunction scars ⋮ Exact and Quasiclassical Fredholm Solutions of Quantum Billiards

Cites Work

• Ergodicity and eigenfunctions of the Laplacian
• A new asymptotic representation for ζ(½ + i t ) and quantum spectral determinants
• Semiclassical quantization of multidimensional systems
• Semiclassical quantization of chaotic billiards: a scattering theory approach
• Regular and irregular semiclassical wavefunctions

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