Asymptotic behavior of the spectrum of the scattering matrix

DOI10.1007/BF01788912zbMath0531.35062OpenAlexW1992226246MaRDI QIDQ788209

Dimitri Yafaev, Mikhail Sh. Birman

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01788912

zbMATH Keywords

constant coefficientsscattering matrixscattering functionfast decreasing exterior fieldlocal wave operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) (S)-matrix theory, etc. in quantum theory (81U20) Scattering theory of linear operators (47A40)

Related Items

Weyl's laws and Connes' integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials, Eigenvalue asymptotics for polynomially compact pseudodifferential operators, Microlocal properties of scattering matrices, Trace theorems for pseudo-differential operators, The spectral density of the scattering matrix of the magnetic Schrödinger operator for high energies, Connes' integration and Weyl's laws, Approximation and equidistribution of phase shifts: spherical symmetry, The spectral density of the scattering matrix for high energies, Equidistribution of phase shifts in obstacle scattering, Asymptotics of the discrete spectrum of the Dirac operator with decreasing potential, Eigenvalues of the Neumann–Poincaré operator in dimension 3: Weyl’s law and geometry, Phase analysis in the problem of scattering by a radial potential

Cites Work

• Scattering theory for differential operators. I: Operator theory
• Remarks on singularities of finite codimension in complex dynamical systems
• Scattering theory for differential operators. II: Self-adjoint elliptic operators
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