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- W110561410 abstract "An effective method for solving the three-body problem with Coulomb interaction is presented systematically. The essential feature of the method is an expansion of the wave function of the three-particle system with respect to an adiabatic basis and reduction of the original Schroedinger equation to a system of ordinary differential equations. Convergence of the adiabatic expansion is ensured not only by the smallness of the ratio of the particle masses but also by the smallness of the nondiagonal matrix elements of the kinetic-energy operator of particles of the same charge. The possibilities of the method are demonstrated by the example of the calculation of the energies and wave functions of all states of the ..mu..-mesic molecules of the hydrogen isotopes and the e/sup -/e/sup -/e/sup +/ system. The method is equally suitable for calculating the ground state and the excited states of a three-particle system. This is particularly important in the calculation of the energies of the weakly bound states of the mesic molecules dd..mu.. and dt..mu.., knowledge of which is needed to describe the processes of muonic catalysis of nuclear fusion reactions." @default.
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- W110561410 date "1982-11-01" @default.
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- W110561410 title "Adiabatic representation in the three-body problem with Coulomb interaction" @default.
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