Fredholm Theory for Quasiclassical Scattering

DOI10.1103/PhysRevLett.74.4110zbMath1020.81937WikidataQ74558021 ScholiaQ74558021MaRDI QIDQ4492311

R. E. Prange, Bertrand Georgeot

Publication date: 16 July 2000

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

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (2)-body potential quantum scattering theory (81U05) Fredholm integral equations (45B05)

Related Items (3)

From open quantum systems to open quantum maps ⋮ Poincaré's recurrence theorem and the unitarity of the \(S\)-matrix ⋮ Decomposition of resonant scatterers by surfaces of section

Cites Work

• Unnamed Item
• Unnamed Item
• Distribution of eigenfrequencies for the wave equation in a finite domain. I.: Three-dimensional problem with smooth boundary surface
• Semiclassical computations of energy levels
• Poincare map for scattering states
• Unstable periodic orbits and semiclassical quantisation
• A new asymptotic representation for ζ(½ + i t ) and quantum spectral determinants
• Semiclassical quantization of multidimensional systems
• Studies of Bogomolny's semiclassical quantization of integrable and nonintegrable systems
• Quantization of chaos
• Exact and Quasiclassical Fredholm Solutions of Quantum Billiards
• A Fredholm determinant for semiclassical quantization
• Poincaré surface of section and quantum scattering

This page was built for publication: Fredholm Theory for Quasiclassical Scattering