The Asymptotics of Eigenfunctions of the Absolutely Continuous Spectrum. The Scattering Problem of Three One-Dimensional Quantum Particles
- Authors: Baibulov I.V.1, Budylin A.M.1, Levin S.B.1
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Affiliations:
- St. Petesburg State University
- Issue: Vol 243, No 5 (2019)
- Pages: 640-655
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/243133
- DOI: https://doi.org/10.1007/s10958-019-04566-6
- ID: 243133
Cite item
Abstract
In the paper the asymptotic structure of eigenfunctions of the absolutely continuous spectrum of the scattering problem is described. The case of three one-dimensional quantum particles interacting by repulsive pair potentials with a compact support is considered.
About the authors
I. V. Baibulov
St. Petesburg State University
Author for correspondence.
Email: molezz@bk.ru
Russian Federation, St. Petersburg
A. M. Budylin
St. Petesburg State University
Email: molezz@bk.ru
Russian Federation, St. Petersburg
S. B. Levin
St. Petesburg State University
Email: molezz@bk.ru
Russian Federation, St. Petersburg
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