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Exact scattering theory for any straight reflectors in two dimensions

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Publication:4468064
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DOI10.1088/0305-4470/36/14/310zbMath1052.81102arXivphysics/0303093OpenAlexW3100070823MaRDI QIDQ4468064

J. H. Hannay, A. Thain

Publication date: 10 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0303093



Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Scattering theory for PDEs (35P25) Fundamental solutions to PDEs (35A08) Quantum chaos (81Q50) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) (2)-body potential quantum scattering theory (81U05)


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The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field ⋮ Sommerfeld-type integrals for discrete diffraction problems ⋮ Generalized Bloch analysis and propagators on Riemannian manifolds with a discrete symmetry ⋮ Large deviations for the Fermion point process associated with the exponential kernel ⋮ Arnold's potentials and quantum catastrophes ⋮ Winding number correlation for a Brownian loop in a plane




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