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 TMF, 1977, Volume 32, Number 2, Pages 187–207 (Mi tmf3149)

Coordinate asymptotic behavior of $(3\to 3)$ wave functions for a system of three charged particles

S. P. Merkur'ev

Abstract: The method set forth in the present paper enables one to find the leading terms in the asymptotic behavior of wave functions. This gives one the possibility to describe the class of functions considered in the scattering problem before one investigates the integral equations.

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English version:
Theoretical and Mathematical Physics, 1977, 32:2, 680–694

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Citation: S. P. Merkur'ev, “Coordinate asymptotic behavior of $(3\to 3)$ wave functions for a system of three charged particles”, TMF, 32:2 (1977), 187–207; Theoret. and Math. Phys., 32:2 (1977), 680–694

Citation in format AMSBIB
\Bibitem{Mer77} \by S.~P.~Merkur'ev \paper Coordinate asymptotic behavior of $(3\to 3)$ wave functions for a~system of three charged particles \jour TMF \yr 1977 \vol 32 \issue 2 \pages 187--207 \mathnet{http://mi.mathnet.ru/tmf3149} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=449266} \transl \jour Theoret. and Math. Phys. \yr 1977 \vol 32 \issue 2 \pages 680--694 \crossref{https://doi.org/10.1007/BF01036331} 

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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. S. P. Merkur'ev, “Integral equations in the quantum scattering problem for a system of three charged particles”, Theoret. and Math. Phys., 38:2 (1979), 134–145
2. A. M. Mukhamedzhanov, “Integral equations for Coulomb scattering wave functions and Coulomb asymptotic states”, Theoret. and Math. Phys., 62:1 (1985), 70–77
3. S. A. Storozhenko, S. A. Shadchin, “Two-particle Coulomb Green's function in the momentum space with explicity separated singularities”, Theoret. and Math. Phys., 76:3 (1988), 903–910
4. S. L. Yakovlev, “Differential Faddeev equations as a spectral problem for nonsymmetric operator”, Theoret. and Math. Phys., 107:3 (1996), 835–847
5. Pupyshev, VV, “Spline-function methods in few-body problem”, Physics of Particles and Nuclei, 35:2 (2004), 145
6. S. L. Yakovlev, “Asymptotic behavior of the wave function of three particles in a continuum”, Theoret. and Math. Phys., 186:1 (2016), 126–135
7. V. V. Pupyshev, “Two-dimensional Coulomb scattering of a quantum particle: Construction of radial wave functions”, Theoret. and Math. Phys., 186:1 (2016), 101–117
8. E. A. Yarevskii, “Asymptotic behavior of the wave function of a system of several particles with pair interactions increasing at infinity”, Theoret. and Math. Phys., 186:1 (2016), 136–146
9. S. B. Levin, “On continuous spectrum eigenfunctions asymptotic behaviour at infinity in configuration space for the system of three three-dimensional like-charged quantum particles”, J. Math. Sci. (N. Y.), 226:6 (2017), 744–767
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