Hannover 2003 – scientific programme

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MO: Molekülphysik

MO 12: Poster II

MO 12.2: Poster

Thursday, March 27, 2003, 16:00–18:30, Lichthof

Nonlocal potential problems in the systems with axial symmetry. — •Natasha Fominykh and Oleg Kidun — Max-Planck Institut für Mikrostrukturphysik, Weinberg 2, 06120 Halle

In this contribution we present a new approach for the calculation of the scattering and bound states of the axially symmetric systems with arbitrary nonlocal potentials. The method utilizes the formalism of the variable phase approach [1-3] and is based on the solution of the system of two integro-differential equations for the scattering amplitude and phase. We suggest a fast finite-difference scheme for the numerical implementation of our method, which requires the numerical efforts of the same order as those for the local potential case. As a particular example, we consider the separable nonlocal potential problems and the Hrtree-Fock problem. [1] F. Calogero, Variable Phase approach to Potential Scattering, Academic Press, New York, 1967. [2] V. V. Babikov, Method of the phase functions in quantum mechanics, Nauka, Moscow,1968. [3] O. Kidun, N. Fominykh, J. Berakdar, J. Phys. A, 35, p. 9413, 2002.