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TMF, 1996, Volume 107, Number 3, Pages 415–432 (Mi tmf1166)  

This article is cited in 9 scientific papers (total in 9 papers)

The Efimov effect and collaps in three-body systems with point-like interactions. I

K. A. Makarovabc, V. V. Melezhikabc

a Saint-Petersburg State University
b Ruhr-Universität Bochum
c University of Potsdam

Abstract: The three-body systems with point like interactions with an internal structure are considered. The complete classification of these systems are carried out and the conditions when the corresponding energy operators are semi-bounded from below are studied.

DOI: https://doi.org/10.4213/tmf1166

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English version:
Theoretical and Mathematical Physics, 1996, 107:3, 755–769

Bibliographic databases:

Received: 19.06.1995

Citation: K. A. Makarov, V. V. Melezhik, “The Efimov effect and collaps in three-body systems with point-like interactions. I”, TMF, 107:3 (1996), 415–432; Theoret. and Math. Phys., 107:3 (1996), 755–769

Citation in format AMSBIB
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\paper The Efimov effect and collaps in three-body systems with point-like interactions.~I
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\jour Theoret. and Math. Phys.
\yr 1996
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\issue 3
\pages 755--769
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Albeverio, S, “The Efimov effect and an extended Szego-Kac limit theorem”, Letters in Mathematical Physics, 43:1 (1998), 73  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
    2. Kurasov P., Pavlov B., “Few-body Krein's formula”, Operator Theory and Related Topics, Operator Theory : Advances and Applications, 118, 2000, 225–254  mathscinet  zmath  isi
    3. Vall, AN, “Two- and three-particle states in a nonrelativistic four-fermion model in the fine-tuning renormalization scheme: Goldstone mode versus extension theory”, Few-Body Systems, 30:3 (2001), 187  crossref  adsnasa  isi  scopus  scopus  scopus
    4. Wang, XP, “On the existence of the N-body Efimov effect”, Journal of Functional Analysis, 209:1 (2004), 137  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
    5. Kolganova, EA, “Ultracold collisions in the system of three helium atoms”, Physics of Particles and Nuclei, 40:2 (2009), 206  crossref  adsnasa  isi  scopus  scopus  scopus
    6. Dell'Antonio G.F., Muminov Z.I., Shermatova Y.M., “On the number of eigenvalues of a model operator related to a system of three particles on lattices”, J. Phys. A: Math. Theor., 44:31 (2011), 315302  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    7. Kolganova E.A., Motovilov A.K., Sandhas W., “The He-4 Trimer as an Efimov System”, Few Body Systems, 51:2–4 (2011), 249–257  crossref  adsnasa  isi  scopus  scopus  scopus
    8. Frederico T., Delfino A., Tomio L., Yamashita M.T., “Universal Aspects of Light Halo Nuclei”, Prog. Part. Nucl. Phys., 67:4 (2012), 939–994  crossref  adsnasa  isi  elib  scopus  scopus  scopus
    9. K. A. Makarov, È. R. Tsekanovskii, “Dissipative and nonunitary solutions of operator commutation relations”, Theoret. and Math. Phys., 186:1 (2016), 41–60  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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