|
This article is cited in 6 scientific papers (total in 6 papers)
Structure of Regular Solutions of the Three-Body Schrödinger Equation near the Pair Impact Point
V. V. Pupyshev Joint Institute for Nuclear Research
Abstract:
We investigate the six-dimensional Schrödinger equation for a three-body system with central pair interactions of a more general form than Coulomb interactions. Regular general and special physical solutions of this equation are represented by infinite asymptotic series in integer powers of the distance between two particles and in the sought functions of the other three-body coordinates. Constructing such functions in angular bases composed of spherical and bispherical harmonics or symmetrized Wigner $D$-functions is reduced to solving simple recursive algebraic equations. For projections of physical solutions on the angular bases functions, we derive boundary conditions at the pair impact point.
Keywords:
three-body problem, Schrödinger equation, regular solutions, asymptotic expansions.
Received: 25.04.2002 Revised: 18.12.2002
Citation:
V. V. Pupyshev, “Structure of Regular Solutions of the Three-Body Schrödinger Equation near the Pair Impact Point”, TMF, 136:1 (2003), 90–114; Theoret. and Math. Phys., 136:1 (2003), 970–993
Linking options:
https://www.mathnet.ru/eng/tmf216https://doi.org/10.4213/tmf216 https://www.mathnet.ru/eng/tmf/v136/i1/p90
|
Statistics & downloads: |
Abstract page: | 400 | Full-text PDF : | 185 | References: | 31 | First page: | 1 |
|