Speciality:
01.04.16 (Physics of nuclear and elementary particles)
Birth date:
15.10.1956
E-mail: Website: https://thsun1.jinr.ru/~pupyshev Keywords: few-body problem; Schroedinger and Faddeev equations; elliptic equations; solution in closed form; asymptotic behavior of solutions; asymptotic and functional expansions.
Subject:
For a complete study of the one-dimensional Schoedinger scattering problem with the sum of the Coulomb potential and a potential, decreasing more rapidly than the centrifugal one, perturbation theory is constructed within the linear version of the variable phase approach. The theory suggested is the asymptotic method in the low-energy limit and in a large angular momentum limit. A number of papers were devoted to investigation of the construction of three-particle wave functions. These investigations are performed within the Schroedinger and Faddeev differential equations in the six-dimensional configuration space. An unified method to construct the complete asymptotic expansions of the wave functions in the vicinity of the double and triple collision points and nearly the line, connected two particles, was proposed. The criterion for existence of three-particles spurious solutions and spurious terms was established. Exact solutions of the three-body problem with pairwise interactions inversely proportional square distance was constructed. The criterion for existence of such solutions was proved. The sufficient condition for the three-body collapse was obtained.
Main publications:
Pupyshev V. V. Asymptotic Expansions of Wave Functions of Three Identical Particles for Small Hyperradius and S-Wave Potentials // Few-Body Systems, 1990, 8, 105–122.
