Energies of weakly bound and near-threshold resonance states of a quantum particle in a two-dimensional plane |
| |
Authors: | V V Pupyshev |
| |
Institution: | 1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
|
| |
Abstract: | We assume that a slow quantum particle moves in a two-dimensional plane of a three-dimensional coordinate space and its motion occurs in the field of a central short-range potential. We show that the approximate energies of weakly bound and near-threshold resonance states of this particle are defined by the roots of transcendental equations with two parameters: the scattering length and the effective radius. We find the sufficient conditions for solvability of these equations and study the dependence of their solutions on the parameters. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |