Slow electron elastic scattering by a target represented by different zero-range potentials

2022/06/17 by A. S. Baltenkov, Baltenkov, A. S., I. Woiciechowski +1
Engineering · #Atomic and Molecular Clusters (physics.atm-clus) #Concrete Corrosion and Durability #FOS: Physical sciences #Non-Destructive Testing Techniques #Quantum Physics (quant-ph) #Ultrasonics and Acoustic Wave Propagation

paper · pdf · doi:10.48550/arxiv.2206.08693

openalex publication_date 2022/06/17 · openalex created_date 2022/06/22 · openalex updated_date 2026/07/28

Abstract

The general formulas to calculate the phase shifts of wave function of a particle scattering on a target formed by a pair of non-identical zero-range potentials are derived. It is shown that at asymptotically great distances from the target the continuum wave function of particle is presented as an expansion in a set of other than spherical, orthonormal functions. General formulas for these functions are obtained. The special features of the S-matrix method for the case of arbitrary non-spherical potentials are discussed.

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