Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

A scattering theory approach to semiclassical quantization

E. Doron, Uzy Smilansky

Published Jan 1, 1995• 1 citation
OpenAlex

Related papers

Application of the method of semiclassical representation to quantum scattering theory

Stanislav D. Tvorogov

Russian Physics Journal•Oct 1, 1996•0 citations

Scattering theory with semiclassical asymptotes

J S Briggs, James M. Feagin

Advances in atomic, molecular, and optical physics•Jan 1, 2021•2 citations

Scattering theory for a model of an atom in a quantized field

Christopher King

Letters in Mathematical Physics•May 1, 1992•2 citations

Studies in Semiclassical Quantization

Jonathan M. Robbins

•Jan 1, 1989•0 citations

Where Semiclassical Radiation Theory Fails

ROBERT K. NESBET

Semiclassical radiation theory provides parallel derivations of spontaneous emission and of spontaneous incoherent scattering of radiation. In the latter case, in constrast to the former, the theory is in clear disagreement with established experimental data since it predicts equal intensity for Stokes and anti-Stokes lines in Raman scattering. A new postulate of semiquantization is proposed to restore agreement with experiment without quantizing the electromagnetic field.

Physical Review Letters•Aug 30, 1971•45 citations

Chaotic Scattering on Graphs

Tsampikos Kottos, Uzy Smilansky

Quantized, compact graphs are excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity, we show that they display all the features which characterize quantum chaotic scattering. We derive exact expressions for the scattering matrix, and an exact trace formula for the density of resonances, in terms of classical orbits, analogous to the semiclassical theory of chaotic scattering. A statistical analysis of the cross sections and resonance parameters compares well with the predictions of random matrix theory. Hence, this system is proposed as a convenient tool to study the generic behavior of chaotic scattering systems and their semiclassical description.

arXiv:chao-dyn/9906008•Physical Review Letters•Jul 31, 2000•160 citations
Quantized, compact graphs are excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity, we show that they display all the features which characterize quantum chaotic scattering. We derive exact expressions for the scattering matrix, and an exact trace formula for the density of resonances, in terms of classical orbits, analogous to the semiclassical theory of chaotic scattering. A statistical analysis of the cross sections and resonance parameters compares well with the predictions of random matrix theory. Hence, this system is proposed as a convenient tool to study the generic behavior of chaotic scattering systems and their semiclassical description.