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Weak Asymptotics for Schrödinger Evolution

Published online by Cambridge University Press:  12 May 2010

S. A. Denisov
S. A. Denisov*
Affiliation:
University of Wisconsin–Madison, Mathematics Department 480 Lincoln Dr., Madison, WI, 53706, USA
*
1 E-mail: denissov@math.wisc.edu
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Abstract

In this short note, we apply the technique developed in [Math. Model. Nat. Phenom., 5 (2010), No. 4, 122-149] to study the long-time evolution for Schrödinger equation with slowly decaying potential.

Keywords

Schrödinger evolutionsquare-summable potentialwave operators
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 4: Spectral problems. Issue dedicated to the memory of M. Birman , 2010 , pp. 150 - 157
Copyright
© EDP Sciences, 2010

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References

Christ, M., Kiselev, A.. Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials . Geom. Funct. Anal., 12 (2002), 1174–1234. CrossRefGoogle Scholar
Denisov, S., Wave equation with slowly decaying potential: asymptotics of solution and wave operators . Math. Model. Nat. Phenom., 5 (2010), No. 4, 122–149. CrossRefGoogle Scholar