
This article is cited in 1 scientific paper (total in 1 paper)
Solution of the threebody problem at zero energy by the boundary condition method
N. N. Beloozerov^{}
Abstract:
System of three identical spinless bosons interacting by means of twoparticle potentials
of the finite range is considered. The Schrödinger equation is reduced to the
problem with boundary conditions, with the aid of the assumption that the logarithmic
derivative of the wave function on the potential surface does not depend on the third
particle position outside the sixdimensional sphere with the radius $R$ in configuration
space. In this region the ratio $r_0/R$ is a small parameter. In the lowest approximation
with respect to this parameter the sequence of the boundary problem solutions
at zero total energy is found. It is shown that for constructing the wave function,
the generalized Fourier method can be applied, the elementary solutions of which
coincide with the functions obtained.
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Theoretical and Mathematical Physics, 1975, 23:1, 362–374
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Received: 03.04.1974
Citation:
N. N. Beloozerov, “Solution of the threebody problem at zero energy by the boundary condition method”, TMF, 23:1 (1975), 78–93; Theoret. and Math. Phys., 23:1 (1975), 362–374
Citation in format AMSBIB
\Bibitem{Bel75}
\by N.~N.~Beloozerov
\paper Solution of the threebody problem at zero energy by the boundary condition method
\jour TMF
\yr 1975
\vol 23
\issue 1
\pages 7893
\mathnet{http://mi.mathnet.ru/tmf3787}
\mathscinet{http://www.ams.org/mathscinetgetitem?mr=475449}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 23
\issue 1
\pages 362374
\crossref{https://doi.org/10.1007/BF01038220}
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http://mi.mathnet.ru/eng/tmf3787 http://mi.mathnet.ru/eng/tmf/v23/i1/p78
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This publication is cited in the following articles:

N. N. Beloozerov, “Solution of the $nd$ scattering problem at the deuteron breakup energy by the boundary condition method”, Theoret. and Math. Phys., 33:1 (1977), 877–884

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