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

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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 107, Number 3, Pages 415–432
DOI: https://doi.org/10.4213/tmf1166 (Mi tmf1166)

This article is cited in 12 scientific papers (total in 12 papers)

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

K. A. Makarov^abc, V. V. Melezhik^abc

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

Full-text PDF (314 kB) Citations (12)

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

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.

Received: 19.06.1995

English version:
Theoretical and Mathematical Physics, 1996, Volume 107, Issue 3, Pages 755–769
DOI: https://doi.org/10.1007/BF02070383

Bibliographic databases:

Language: Russian

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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\pages 415--432

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\transl

\jour Theoret. and Math. Phys.

\yr 1996

\vol 107

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\pages 755--769

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Linking options:

https://www.mathnet.ru/eng/tmf1166

https://doi.org/10.4213/tmf1166

https://www.mathnet.ru/eng/tmf/v107/i3/p415

This publication is cited in the following 12 articles:

Matteo Gallone, Alessandro Michelangeli, Springer Monographs in Mathematics, Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians, 2023, 385
Gianfausto Dell'Antonio, Springer Proceedings in Mathematics & Statistics, 377, Quantum and Stochastic Mathematical Physics, 2023, 107
K. A. Makarov, È. R. Tsekanovskii, “Dissipative and nonunitary solutions of operator commutation relations”, Theoret. and Math. Phys., 186:1 (2016), 41–60
Frederico T., Delfino A., Tomio L., Yamashita M.T., “Universal Aspects of Light Halo Nuclei”, Prog. Part. Nucl. Phys., 67:4 (2012), 939–994
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
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
Kolganova, EA, “Ultracold collisions in the system of three helium atoms”, Physics of Particles and Nuclei, 40:2 (2009), 206
Wang, XP, “On the existence of the N-body Efimov effect”, Journal of Functional Analysis, 209:1 (2004), 137
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
Kurasov P., Pavlov B., “Few-body Krein's formula”, Operator Theory and Related Topics, Operator Theory : Advances and Applications, 118, 2000, 225–254
Pavel Kurasov, Boris Pavlov, Operator Theory and Related Topics, 2000, 225
Albeverio, S, “The Efimov effect and an extended Szego-Kac limit theorem”, Letters in Mathematical Physics, 43:1 (1998), 73

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	277
References:	116
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