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Published 2004 | public
Journal Article

Absolutely Continuous Spectrum of Multidimensional Schrödinger Operator

Abstract

We prove that a three-dimensional Schrödinger operator with slowly decaying potential has an absolutely continuous (a.c.) spectrum that fills R+. Asymptotics of Green's functions is obtained as well.

Additional Information

© 2004 Hindawi Publishing Corporation. Received April 25, 2004. Revision received September 1, 2004. Accepted October 17, 2004. We are grateful to B. Simon for the useful discussions.

Additional details

Created:
August 19, 2023
Modified:
October 24, 2023