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250136 VO Introduction to Scattering Theory for the Schrödinger Equation (The Agmon-Kato approach) (2009S)
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Termine jeweils am Montag 15:00-16:30 und Freitag 13:00-14:30
D 104 (UZA 4)
D 104 (UZA 4)
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Information
Aims, contents and method of the course
Assessment and permitted materials
Minimum requirements and assessment criteria
To give an introduction to applications of the methods of functional analysis and complex analysis to scattering theory.
Examination topics
The Fourier transform, the Fredholm theory, and the Kato theorem.
Reading list
[1] S. Agmon, Spectral properties of Schrödinger operators and scattering theory, Ann. Sc. Norm. Super. Pisa, Cl. Sci. Ser. 2 IV (1975), 151-218.2] A. Jensen, T. Kato, Spectral properties of Schrödinger operators and time-decay of the wave functions, Duke Math. Journal 46, 583-611 (1979).[3] M. Reed, B. Simon, Methods of Modern Mathematical Physics. III: Scattering theory, Academic Press, NY, 1979.
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Association in the course directory
MALV
Last modified: Fr 31.08.2018 08:54
ii) Existence of the Möller wave operators [3].
iii) Green function in Agmon¿s spaces: limiting absorption principle [2].
iv) Smoothness and decay of the Green function [1,2].
v) Long time decay in the Agmon spaces and asymptotic completeness [2].