arXiv subjects

Sergey Yalunin

Publications and source records attributed to Sergey Yalunin.

2 recordsLinked to original sources

arXiv2006

Multiple scattering and electron-uracil collisions at low energies

Links between two well known methods: methods of zero-range and non-overlapped (muffin-tin) potentials are discussed. Some difficulties of the method of zero-range potentials and its possible elimination are discussed. We argue that such advanced method of ZRP potential can be applied to realistic electron-molecular processes. The method reduces electron-molecule scattering to generalized eigenvalue problem for hermitian matrices and admit fast numerical scheme. A noteworthy feature of the method is direct possibility to calculate the wave functions (partial waves). The theory is applied to electron-uracil scattering. Partial phases and cross-sections at low energies are evaluated and plotted.

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arXiv2002

Generalized Zero Range Potentials and Multi-Channel Electron-Molecule Scattering

A multi-channel scattering problem is studied from a point of view of integral equations system. The system appears while natural one-particle wave function equation of the electron under action of a potential with non-intersecting ranges is considered. Spherical functions basis expansion of the potentials introduces partial amplitudes and corresponding radial functions. The approach is generalized to multi-channel case by a matrix formulation in which a state vector component is associated with a scattering channel. The zero-range potentials naturally enter the scheme when the class of operators of multiplication is widen to distributions. %Analog of multipolar expansion is treated. Spin variables, o Oscillations and rotations are incorporated into the scheme.

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