High energy asymptotics of the scattering amplitude for the Schrödinger equation

DOI10.1007/BF02829654zbMath1199.81037MaRDI QIDQ1599754

Dimitri Yafaev

Publication date: 6 June 2002

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionscattering matrixhigh energydiagonal singularity

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20) (2)-body potential quantum scattering theory (81U05)

Related Items (3)

High‐energy and smoothness asymptotic expansion of the scattering amplitude for the Dirac equation and application ⋮ High-energy and smoothness asymptotic expansion of the scattering amplitude. ⋮ The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that

Cites Work

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• Opérateurs conjugués et propriétés de propagation
• Trace theorems for pseudo-differential operators
• Uniform coordinates and spectral asymptotics for solutions of the scattering problem for the Schrödinger equation
• The scattering amplitude for the Schrödinger equation with a long-range potential
• Scattering theory: some old and new problems
• Propagation Estimates for Schrodinger-Type Operators

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