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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 125, Number 2, Pages 253–271
DOI: https://doi.org/10.4213/tmf667
(Mi tmf667)
 

This article is cited in 5 scientific papers (total in 5 papers)

Spurious terms in the three-body problem

V. V. Pupyshev

Joint Institute for Nuclear Research
Full-text PDF (269 kB) Citations (5)
References:
Abstract: The method of hyperharmonics is used to split the central two-body interactions and the Faddeev components of the wave function in a three-body system into physical and spurious terms. The sum of the physical terms of the interactions or of the Faddeev components for all pairs of particles is nonzero, whereas the sums of spurious terms of both the interactions and the Faddeev components over all pairs of particles vanish identically. We establish a criterion for the existence of spurious terms. We show that a sufficient condition for this criterion is equivalent to the conservation law for a certain quantum number.
Received: 17.12.1999
Revised: 06.06.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 125, Issue 2, Pages 1516–1530
DOI: https://doi.org/10.1007/BF02551011
Bibliographic databases:
Language: Russian
Citation: V. V. Pupyshev, “Spurious terms in the three-body problem”, TMF, 125:2 (2000), 253–271; Theoret. and Math. Phys., 125:2 (2000), 1516–1530
Citation in format AMSBIB
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\paper Spurious terms in the three-body problem
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\jour Theoret. and Math. Phys.
\yr 2000
\vol 125
\issue 2
\pages 1516--1530
\crossref{https://doi.org/10.1007/BF02551011}
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  • https://doi.org/10.4213/tmf667
  • https://www.mathnet.ru/eng/tmf/v125/i2/p253
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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