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2005 The Lax-Phillips scattering approach and singular perturbations of Schrödinger operator homogeneous with respect to scaling transformations
Sergei Kuzhel, Uliya Moskalyova
J. Math. Kyoto Univ. 45(2): 265-286 (2005). DOI: 10.1215/kjm/1250281990

Abstract

Spectral and scattering properties of positive self-adjoint operators that correspond to singular perturbations of the Schrödinger operator homogeneous with respect to the scaling transformations are investigated by a method based on the Lax-Phillips ideas in scattering theory.

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Sergei Kuzhel. Uliya Moskalyova. "The Lax-Phillips scattering approach and singular perturbations of Schrödinger operator homogeneous with respect to scaling transformations." J. Math. Kyoto Univ. 45 (2) 265 - 286, 2005. https://doi.org/10.1215/kjm/1250281990

Information

Published: 2005
First available in Project Euclid: 14 August 2009

zbMATH: 1101.47007
MathSciNet: MR2161692
Digital Object Identifier: 10.1215/kjm/1250281990

Subjects:
Primary: 47A40
Secondary: 35P25

Rights: Copyright © 2005 Kyoto University

Vol.45 • No. 2 • 2005
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