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Algebra i Analiz, 2010, Volume 22, Issue 3, Pages 60–79 (Mi aa1186)  
This article is cited in 14 scientific papers (total in 15 papers)

Research Papers

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

V. S. Buslaev, S. B. Levin
Full-text PDF (678 kB) Citations (15)
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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, Volume 22, Issue 3, Pages 379–392
DOI: https://doi.org/10.1090/S1061-0022-2011-01147-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. S. Buslaev, S. B. Levin, “Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II. Charged one-dimensional particles”, Algebra i Analiz, 22:3 (2010), 60–79; St. Petersburg Math. J., 22:3 (2011), 379–392
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:561
    Full-text PDF :137
    References:77
    First page:28
     
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