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Generalized Fourier Transform for Schrödinger Operators with Potentials of Order Zero

✍ Scribed by Shmuel Agmon; Jaime Cruz-Sampedro; Ira Herbst

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
206 KB
Volume
167
Category
Article
ISSN
0022-1236

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✦ Synopsis

We investigate the Schro dinger operator H=&2+V acting in L 2 (R n ), n 2, for potentials V that satisfy :

x V(x)=O(|x| &|:| ) as |x| Ä . By introducing coordinates on R n closely related to a relevant eikonal equation we obtain an eigenfunction expansion for H at high energies.

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