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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 2, Pages 83–88
DOI: https://doi.org/10.4213/faa3067 (Mi faa3067) 		 
This article is cited in 13 scientific papers (total in 14 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
Full-text PDF (155 kB) Citations (14)
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DOI: https://doi.org/10.4213/faa3067
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.
Received: 18.01.2012
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 2, Pages 147–151
DOI: https://doi.org/10.1007/s10688-012-0020-6
Bibliographic databases:
Document Type: Article
UDC: 519.6+517.9
Language: Russian
Citation: V. S. Buslaev, S. B. Levin, “A System of Three Three-Dimensional Charged Quantum Particles: Asymptotic Behavior of the Eigenfunctions of the Continuous Spectrum at Infinity”, Funktsional. Anal. i Prilozhen., 46:2 (2012), 83–88; Funct. Anal. Appl., 46:2 (2012), 147–151
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/faa/v46/i2/p83
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Full-text PDF :247
    References:117
    First page:28
     
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