Exact and Quasiclassical Fredholm Solutions of Quantum Billiards
From MaRDI portal
Publication:4492307
DOI10.1103/PhysRevLett.74.2851zbMath1020.81589OpenAlexW2026351368WikidataQ74556589 ScholiaQ74556589MaRDI QIDQ4492307
R. E. Prange, Bertrand Georgeot
Publication date: 16 July 2000
Published in: Physical Review Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1103/physrevlett.74.2851
Quantum chaos (81Q50) Asymptotics of solutions to integral equations (45M05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Miscellaneous applications of number theory (11Z05)
Related Items (3)
Singular statistics revised ⋮ Quantization of hyperbolic \(N\)-sphere scattering systems in three dimensions. ⋮ Fredholm Theory for Quasiclassical Scattering
Cites Work
- Solution of the Schrödinger equation in terms of classical paths
- Distribution of eigenfrequencies for the wave equation in a finite domain. I.: Three-dimensional problem with smooth boundary surface
- Semiclassical computations of energy levels
- A rule for quantizing chaos?
- Unstable periodic orbits and semiclassical quantisation
- A new asymptotic representation for ζ(½ + i t ) and quantum spectral determinants
- Semiclassical quantization of multidimensional systems
- Quantization of chaos
- Semiclassical criterion for scars in wave functions of chaotic systems
- A Fredholm determinant for semiclassical quantization
- A scattering approach to the quantization of billiards— The inside–outside duality
- Semiclassical accuracy for billiards
This page was built for publication: Exact and Quasiclassical Fredholm Solutions of Quantum Billiards
