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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 8, Number 2, Pages 235–250 (Mi tmf4401)  

This article is cited in 26 scientific papers (total in 26 papers)

Coordinate asymptotic behavior of three-particle wave functions

S. P. Merkur'ev
References:
Abstract: A study is made of the coordfinate asymptotic behavior of the wave function for a system of three nonrelativistic partieles, allowance being made for (33) processes. Attention is devoted primarily to twofold seattering effects, it is shown that in the parts of the configuration space where the formally constructed scattering amplitude becomes infinite the asymptotic behavior of the (33) wave function can be described by means of a Fresnel ntegral.
Received: 23.10.1970
English version:
Theoretical and Mathematical Physics, 1971, Volume 8, Issue 2, Pages 798–809
DOI: https://doi.org/10.1007/BF01038001
Language: Russian
Citation: S. P. Merkur'ev, “Coordinate asymptotic behavior of three-particle wave functions”, TMF, 8:2 (1971), 235–250; Theoret. and Math. Phys., 8:2 (1971), 798–809
Citation in format AMSBIB
\Bibitem{Mer71}
\by S.~P.~Merkur'ev
\paper Coordinate asymptotic behavior of three-particle wave functions
\jour TMF
\yr 1971
\vol 8
\issue 2
\pages 235--250
\mathnet{http://mi.mathnet.ru/tmf4401}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 8
\issue 2
\pages 798--809
\crossref{https://doi.org/10.1007/BF01038001}
Linking options:
  • https://www.mathnet.ru/eng/tmf4401
  • https://www.mathnet.ru/eng/tmf/v8/i2/p235
  • This publication is cited in the following 26 articles:
    1. S. L. Yakovlev, “Asymptotic behavior of the wavefunction for the scattering of three particles with the Coulomb interaction”, JETP Letters, 116:4 (2022), 268–274  mathnet  crossref  crossref
    2. S. L. Yakovlev, “Weak asymptotics of the wave function for an N-particle system and asymptotic filtration”, Theoret. and Math. Phys., 206:1 (2021), 68–83  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    3. Rimantas Lazauskas, Jaume Carbonell, “The Faddeev–Yakubovsky Symphony”, Few-Body Syst, 60:4 (2019)  crossref
    4. S. L. Yakovlev, “Asymptotic behavior of the wave function of three particles in a continuum”, Theoret. and Math. Phys., 186:1 (2016), 126–135  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    5. A. Deltuva, A. C. Fonseca, R. Lazauskas, Lecture Notes in Physics, 875, Clusters in Nuclei, Volume 3, 2014, 1  crossref
    6. B. Morillon, R. Lazauskas, J. Carbonell, “Influence of the ab initio n–d cross sections in the critical heavy-water benchmarks”, Annals of Nuclear Energy, 54 (2013), 167  crossref
    7. Kukulin V.I. Rubtsova O.A., “Modern Approaches for the Theoretical Description of Multiparticle Scattering and Nuclear Reactions”, Phys. Atom. Nuclei, 75:11 (2012), 1373–1387  crossref  isi
    8. A. P. Dmitriev, I. V. Gornyi, D. G. Polyakov, “Coulomb drag between ballistic quantum wires”, Phys. Rev. B, 86:24 (2012)  crossref
    9. Jaume Carbonell, Arnoldas Deltuva, Rimantas Lazauskas, “Some applications of the Faddeev–Yakubovsky equations to the cold-atom physics”, Comptes Rendus. Physique, 12:1 (2011), 47  crossref
    10. R.Ya. Kezerashvili, “On the asymptotic behaviour of the 4 → 4 scattering wave function in the hyperspherical representation”, Physics Letters B, 334:3-4 (1994), 263  crossref
    11. R.Ya. Kezerashvili, S. Rosati, “On the asymptotic behaviour of the elastic 3→3 scattering wave function in the hyperspherical basis”, Physics Letters B, 318:1 (1993), 23  crossref
    12. Yu. A. Kuperin, Yu. B. Melnikov, “Quantum scattering in gauge fields of adiabatic representations”, Math. USSR-Sb., 72:1 (1992), 221–265  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    13. S. L. Yakovlev, “Coordinate asymptotics of the wave function for a system of four particles free in the initial state”, Theoret. and Math. Phys., 82:2 (1990), 157–169  mathnet  crossref  mathscinet  isi
    14. R. Krivec, M. V. Mihailović, “The generator coordinate method for tertiary reactions of light composite nuclei”, Few-Body Systems, 8:2 (1990), 45  crossref
    15. S. Servadio, “Coherence counterterms in elastic three-body scattering”, Physics Letters A, 112:3-4 (1985), 111  crossref
    16. S. P. Merkur'ev, S. L. Yakovlev, “Quantum N-body scattering theory in configuration space”, Theoret. and Math. Phys., 56:1 (1983), 673–682  mathnet  crossref  mathscinet  isi
    17. V. E. Kuz'michev, V. F. Kharchenko, “Analytic solution to the problem of three-particle collisions in a model with eikonal Hamiltonian”, Theoret. and Math. Phys., 47:1 (1981), 324–334  mathnet  crossref  mathscinet  isi
    18. K. K. Fang, “Calculation ofα+n+p→α+n+pelastic scattering using hyperspherical harmonics”, Phys. Rev. C, 19:5 (1979), 1637  crossref
    19. B. E. Grinyuk, I. V. Simenog, “Many-particle correlations in an N-particle system and many-particle scattering amplitudes”, Theoret. and Math. Phys., 35:1 (1978), 335–345  mathnet  crossref
    20. A. I. Baz', S. P. Merkur'ev, “Kinematic properties of three-particle reactions”, Theoret. and Math. Phys., 31:1 (1977), 309–318  mathnet  crossref
    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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