dorsal/arxiv
View SchemaGeneralized Zero Range Potentials and Multi-Channel Electron-Molecule Scattering
| Authors | Sergey Leble, Sergey Yalunin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209063 |
| URL | https://arxiv.org/abs/quant-ph/0209063 |
| DOI | 10.1016/S0969-806X(03)00277-9 |
Abstract
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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"abstract": "A multi-channel scattering problem is studied from a point of view of\nintegral equations system. The system appears while natural one-particle wave\nfunction equation of the electron under action of a potential with\nnon-intersecting ranges is considered.\n Spherical functions basis expansion of the potentials introduces partial\namplitudes and corresponding radial functions. The approach is generalized to\nmulti-channel case by a matrix formulation in which a state vector component is\nassociated with a scattering channel.\n The zero-range potentials naturally enter the scheme when the class of\noperators of multiplication is widen to distributions. %Analog of multipolar\nexpansion is treated. Spin variables, o Oscillations and rotations are\nincorporated into the scheme.",
"arxiv_id": "quant-ph/0209063",
"authors": [
"Sergey Leble",
"Sergey Yalunin"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0969-806X(03)00277-9",
"title": "Generalized Zero Range Potentials and Multi-Channel Electron-Molecule Scattering",
"url": "https://arxiv.org/abs/quant-ph/0209063"
},
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