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Algebra i Analiz, 2010 Volume 22, Issue 3, Pages 60–79 (Mi aa1186)

This article is cited in 14 papers

Research Papers

Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II. Charged one-dimensional particles

V. S. Buslaev, S. B. Levin


Abstract: A system of three one-dimensional quantum particles with Coulomb pairwise interaction is treated. A scattered plane wave type asymptotic description at infinity in the configuration space of generalized eigenfunctions is obtained. Though remaining at a heuristic level, the constructions of the paper may serve as a basis for rigorous proofs of the results.

Keywords: quantum scattering, three-particle scattering, Coulomb interaction, one-dimensional particles.

Received: 11.12.2009


 English version:
St. Petersburg Mathematical Journal, 2011, 22:3, 379–392

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