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


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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.

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I. Baibulov

St. Petesburg State University

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Email: molezz@bk.ru
俄罗斯联邦, St. Petersburg

A. Budylin

St. Petesburg State University

Email: molezz@bk.ru
俄罗斯联邦, St. Petersburg

S. Levin

St. Petesburg State University

Email: molezz@bk.ru
俄罗斯联邦, St. Petersburg

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