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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 102, Number 2, Pages 258–282 (Mi tmf1265)  
This article is cited in 5 scientific papers (total in 5 papers)

The point interactions in the problem of three quantum particles with internal structure

K. A. Makarova, V. V. Melezhika, A. K. Motovilovb

a Saint-Petersburg State University
b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
Full-text PDF (2759 kB) Citations (5)
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Abstract: The problem of three quantum particles with internal structure is considered where the pair interactions are described in terms of two-channel Hamiltonians. It is proved that if parameters of the model are such that the total three-body Hamiltonian is semibounded, the Faddeev equations are of Fredholm type. The boundary value problems are formulated for the Faddeev differential equations which can be used for search of the scattering wave functions.
Received: 17.03.1994
English version:
Theoretical and Mathematical Physics, 1995, Volume 102, Issue 2, Pages 188–207
DOI: https://doi.org/10.1007/BF01040400
Bibliographic databases:
Language: Russian
Citation: K. A. Makarov, V. V. Melezhik, A. K. Motovilov, “The point interactions in the problem of three quantum particles with internal structure”, TMF, 102:2 (1995), 258–282; Theoret. and Math. Phys., 102:2 (1995), 188–207
Citation in format AMSBIB
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\paper The point interactions in the problem of three quantum particles with internal structure
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\issue 2
\pages 258--282
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\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 102
\issue 2
\pages 188--207
\crossref{https://doi.org/10.1007/BF01040400}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RQ88800009}
Linking options:
  • https://www.mathnet.ru/eng/tmf1265
  • https://www.mathnet.ru/eng/tmf/v102/i2/p258
    • This publication is cited in the following 5 articles:
    1. G. A. Melnikov, N. M. Ignatenko, V. V. Suchilkin, A. S. Gromkov, “Formation of Cluster Systems in Chaotic Condensed Media”, jour, 13:2 (2023), 164  crossref
    2. Michelangeli A., “Models of Zero-Range Interaction For the Bosonic Trimer At Unitarity”, Rev. Math. Phys., 33:04 (2021), 2150010  crossref  isi
    3. Michelangeli A., Ottolini A., “On Point Interactions Realised as Ter-Martirosyan-Skornyakov Hamiltonians”, Rep. Math. Phys., 79:2 (2017), 215–260  isi
    4. 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
    5. Kurasov P., Pavlov B., “Few-body Krein's formula”, Operator Theory and Related Topics, Operator Theory : Advances and Applications, 118, 2000, 225–254  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:67
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