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- Title
Two-dimensional Coulomb scattering of a quantum particle: Construction of radial wave functions.
- Authors
Pupyshev, V.
- Abstract
We prove that radial wave functions of a charged quantum particle moving in a two-dimensional plane of the three-dimensional coordinate space and scattering by a Coulomb center at rest in the same plane are governed by the Coulomb equation with a half-integer index. We investigate the structure of these functions and consider three physically interesting limits: the non-Coulomb limit and high- and low-energy limits. We explicate the basic differences between two- and three-dimensional Coulomb scattering.
- Subjects
COULOMB functions; SCATTERING (Physics); QUANTUM theory; RADIAL wavefunction; QUBITS; BOHR radius
- Publication
Theoretical & Mathematical Physics, 2016, Vol 186, Issue 1, p101
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577916010098