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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 76, Number 2, Pages 242–260 (Mi tmf5060)  

This article is cited in 11 scientific papers (total in 11 papers)

Quantum few-body problem with internal structure. II. Three-body problem

Yu. A. Kuperin, K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, B. S. Pavlov
References:
Abstract: A formulation of quantum scattering theory is proposed for systems of three particles with internal structure. Modified Faddeev equations corresponding to a special class of energy-dependent interactions are obtained. The properties of these equations are investigated.
Received: 23.11.1986
English version:
Theoretical and Mathematical Physics, 1988, Volume 76, Issue 2, Pages 834–847
DOI: https://doi.org/10.1007/BF01028583
Bibliographic databases:
Language: Russian
Citation: Yu. A. Kuperin, K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, B. S. Pavlov, “Quantum few-body problem with internal structure. II. Three-body problem”, TMF, 76:2 (1988), 242–260; Theoret. and Math. Phys., 76:2 (1988), 834–847
Citation in format AMSBIB
\Bibitem{KupMakMer88}
\by Yu.~A.~Kuperin, K.~A.~Makarov, S.~P.~Merkur'ev, A.~K.~Motovilov, B.~S.~Pavlov
\paper Quantum few-body problem with internal structure. II.~Three-body problem
\jour TMF
\yr 1988
\vol 76
\issue 2
\pages 242--260
\mathnet{http://mi.mathnet.ru/tmf5060}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=965509}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 76
\issue 2
\pages 834--847
\crossref{https://doi.org/10.1007/BF01028583}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U240300008}
Linking options:
  • https://www.mathnet.ru/eng/tmf5060
  • https://www.mathnet.ru/eng/tmf/v76/i2/p242
    Cycle of papers
    This publication is cited in the following 11 articles:
    1. Gökhan Mutlu, Ekin Uğurlu, “On quantum star graphs with eigenparameter dependent vertex conditions”, Anal.Math.Phys., 13:4 (2023)  crossref
    2. V. I. Kukulin, O. A. Rubtsova, M. N. Platonova, V. N. Pomerantsev, H. Clement, T. Skorodko, “Nature of $\varvec{S}$-wave $\varvec{NN}$ interaction and dibaryon production at nucleonic resonance thresholds”, Eur. Phys. J. A, 56:9 (2020)  crossref
    3. V.I. Kukulin, O.A. Rubtsova, M.N. Platonova, V.N. Pomerantsev, H. Clement, “Role of the d⁎(2380) dibaryon in NN interaction”, Physics Letters B, 801 (2020), 135146  crossref
    4. Pomerantsev V.N., Kukulin V.I., Rubtsova O.A., “Model With Coupled Internal and External Channels For <Bold>2N</Bold> and <Bold>3N</Bold> Systems”, Few-Body Syst., 60:3 (2019), UNSP 48  crossref  isi
    5. A. A. Arsen'ev, “Mathematical Model of Resonances and Tunneling in a System with a Bound State”, Theoret. and Math. Phys., 136:3 (2003), 1336–1345  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    6. Yu. A. Kuperin, S. B. Levin, “Extension theory approach to scattering and annihilation in the $\bar pd$ system”, Theoret. and Math. Phys., 118:1 (1999), 60–76  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    7. P. Kurasov, “Energy Dependent Boundary Conditions and the Few-Body Scattering Problem”, Rev. Math. Phys., 09:07 (1997), 853  crossref
    8. A. N. Safronov, “Three-dimensional manifestly Poincaré-invariant approach to relativistic three-body problem”, Theoret. and Math. Phys., 103:2 (1995), 502–524  mathnet  crossref  mathscinet  zmath  isi
    9. K. A. Makarov, V. V. Melezhik, A. K. Motovilov, “The point interactions in the problem of three quantum particles with internal structure”, Theoret. and Math. Phys., 102:2 (1995), 188–207  mathnet  crossref  mathscinet  zmath  isi
    10. A. A. Kiselev, B. S. Pavlov, N. N. Penkina, M. G. Suturin, “Allowance for interaction symmetry in the theory of extensions”, Theoret. and Math. Phys., 91:2 (1992), 453–461  mathnet  crossref  mathscinet  isi
    11. A. N. Safronov, “Effects of particle structure in the three-body problem”, Theoret. and Math. Phys., 89:3 (1991), 1310–1323  mathnet  crossref  mathscinet  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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