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On Scattering for SCHRÖDINGER Operators with Anisotropic and Singular Potentials

✍ Scribed by Michael Demuth

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
554 KB
Volume
129
Category
Article
ISSN
0025-584X

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✦ Synopsis

The existence of wave operators is considered for SCHRODINQER operators with anisotropic potentials. The potentials may have positive barriers which are allowed to increase up t o infinity over unbounded regions in Rn. The convergence of the corresponding wave and scattering operators is shown. I n the time-dependent geometric proofs the FEYNMAN-KAc-formula is applied essentially.

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