Yu. A. Kuperin, K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, B. S. Pavlov, “Quantum few-body problem with internal structure. I. Two-body problem”, TMF, 75:3 (1988), 431–444; Theoret. and Math. Phys., 75:3 (1988), 630

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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 75, Number 3, Pages 431–444 (Mi tmf4955)

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

Quantum few-body problem with internal structure. I. Two-body problem

Yu. A. Kuperin, K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, B. S. Pavlov

Full-text PDF (1557 kB) Citations (12)

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Abstract: The methods of the theory of extensions to an auxiliary Hilbert space are used to construct in the two-particle sector a scattering theory for particles possessing internal structure. The analytic properties of the amplitudes of resonance scattering and Green's functions corresponding to a class of singular energy-dependent interactions are investigated.

Received: 23.11.1986

English version:
Theoretical and Mathematical Physics, 1988, Volume 75, Issue 3, Pages 630–639
DOI: https://doi.org/10.1007/BF01036264

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. I. Two-body problem”, TMF, 75:3 (1988), 431–444; Theoret. and Math. Phys., 75:3 (1988), 630–639

Citation in format AMSBIB

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\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. I.~Two-body problem

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\issue 3

\pages 431--444

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=959726}

\transl

\jour Theoret. and Math. Phys.

\yr 1988

\vol 75

\issue 3

\pages 630--639

\crossref{https://doi.org/10.1007/BF01036264}

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Linking options:

https://www.mathnet.ru/eng/tmf4955

https://www.mathnet.ru/eng/tmf/v75/i3/p431

Cycle of papers

Quantum few-body problem with internal structure. I. Two-body problem
Yu. A. Kuperin, K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, B. S. Pavlov
TMF, 1988, 75:3, 431–444
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
TMF, 1988, 76:2, 242–260

This publication is cited in the following 12 articles:

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
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)
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
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
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
Yan V. Fyodorov, Hans-Jürgen Sommers, “Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance”, Journal of Mathematical Physics, 38:4 (1997), 1918
P. Kurasov, “Energy Dependent Boundary Conditions and the Few-Body Scattering Problem”, Rev. Math. Phys., 09:07 (1997), 853
A. N. Safronov, “Three-dimensional manifestly Poincaré-invariant approach to relativistic three-body problem”, Theoret. and Math. Phys., 103:2 (1995), 502–524
A. K. Motovilov, “Algebraic version of extension theory for a quantum system with internal structure”, Theoret. and Math. Phys., 97:2 (1993), 1217–1228
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
A. N. Safronov, “Effects of particle structure in the three-body problem”, Theoret. and Math. Phys., 89:3 (1991), 1310–1323
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”, Theoret. and Math. Phys., 76:2 (1988), 834–847

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

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