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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2012 Volume 46, Issue 2, Pages 83–88 (Mi faa3067)

This article is cited in 13 papers

Brief communications

A System of Three Three-Dimensional Charged Quantum Particles: Asymptotic Behavior of the Eigenfunctions of the Continuous Spectrum at Infinity

V. S. Buslaev, S. B. Levin

St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: To our knowledge, there are no expressions (not necessarily rigorously proved mathematically) for the eigenfunctions of a system of three or more charged quantum particles. For a system of three such identical particles, we suggest an asymptotic formula describing the behavior of eigenfunctions at infinity in the configuration space.

Keywords: partial differential equations, mathematical physics, quantum scattering theory in the system of three charged particles.

UDC: 519.6+517.9

Received: 18.01.2012

DOI: 10.4213/faa3067


 English version:
Functional Analysis and Its Applications, 2012, 46:2, 147–151

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