RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


TMF, 1971, Volume 8, Number 2, Pages 235–250 (Mi tmf4401)  

This article is cited in 13 scientific papers (total in 13 papers)

Coordinate asymptotic behavior of three-particle wave functions

S. P. Merkur'ev


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 $(3\to 3)$ 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 $(3\to 3)$ wave function can be described by means of a Fresnel ntegral.

Full text: PDF file (1635 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1971, 8:2, 798–809

Received: 23.10.1970

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:
  • http://mi.mathnet.ru/eng/tmf4401
  • http://mi.mathnet.ru/eng/tmf/v8/i2/p235

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


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

    This publication is cited in the following articles:
    1. A. M. Veselova, “Determination of scattering amplitudes in problems with two and three charged particles”, Theoret. and Math. Phys., 13:3 (1972), 1200–1206  mathnet  crossref
    2. S. P. Merkur'ev, “Variational principle for three-particle systems”, Theoret. and Math. Phys., 17:2 (1973), 1105–1111  mathnet  crossref
    3. A. I. Baz', S. P. Merkur'ev, “Kinematic properties of three-particle reactions”, Theoret. and Math. Phys., 31:1 (1977), 309–318  mathnet  crossref
    4. R. K. Peterkop, L. L. Rabik, “Asymptotic expansions in the problem of three charged particles”, Theoret. and Math. Phys., 31:3 (1977), 502–510  mathnet  crossref  mathscinet
    5. S. P. Merkur'ev, “Coordinate asymptotic behavior of $(3\to 3)$ wave functions for a system of three charged particles”, Theoret. and Math. Phys., 32:2 (1977), 680–694  mathnet  crossref  mathscinet
    6. E. G. Kolesnichenko, “Kinetic equations for chemically reacting quantum gases. I”, Theoret. and Math. Phys., 30:1 (1977), 73–78  mathnet  crossref
    7. 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
    8. 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
    9. 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
    10. 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
    11. 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
    12. 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
    13. 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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:279
    Full text:101
    References:18
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019