The Asymptotics of Eigenfunctions of the Absolutely Continuous Spectrum. The Scattering Problem of Three One-Dimensional Quantum Particles


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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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