The first variation of the scattering matrix

DOI10.1016/0022-0396(76)90127-3zbMath0343.35069OpenAlexW2107666871MaRDI QIDQ1232644

J. V. Ralston, J. William Helton

Publication date: 1976

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(76)90127-3

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05)

Related Items (10)

Semi-classical asymptotics for local spectral densities and time delay problems in scattering processes ⋮ Asymptotic behaviour of the phase in non-smooth obstacle scattering ⋮ Mathematical study of scattering resonances ⋮ Equidistribution of phase shifts in obstacle scattering ⋮ Asymptotic behalrior of the scattering phase for exterior domains ⋮ Semi-classical bounds for resolvents of schrödinger operators and asymptotics for scattering phases ⋮ The first variation of the scattering matrix: An addendum ⋮ Monochromatic Identities for the Green Function and Uniqueness Results for Passive Imaging ⋮ Weyl asymptotics for the phase in obstacle scattering ⋮ The inverse scattering problem for perturbed wave equations

Cites Work

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• Outgoing solutions for perturbations of -\(\Delta\) with applications to spectral and scattering theory
• Scattering theory for dissipative hyperbolic systems
• Purely imaginary scattering frequencies for exterior domains
• Unitary operators on a space with an indefinite inner product
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Decaying modes for the wave equation in the exterior of an obstacle
• Trapped rays in spherically symmetric media and poles of the scattering matrix
• Variation of the transmission coefficient and comparison theorems for the purely imaginary poles of the scattering matrix

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