Variable-phase method and Levinson's theorem in two dimensions: Application to a screened Coulomb potential
Solid State Communications
The variable-phase approach is applied to scattering and bound states in an attractive Coulomb potential, statically screened by a two-dimensional (2D) electron gas. A 2D formulation of Levinson's theorem is used for bound-state counting and a hitherto undiscovered, simple relationship between the screening length and the number of bound states is found. As the screening length is increased, sets of bound states with differing quantum numbers appear degenerately. (C) 1997 Elsevier Science Ltd.
Copyright © 1997 Elsevier. NOTICE: this is the pre-print version of a work that was accepted for publication in Solid State Communications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Solid State Communications Volume 103, Issue 6, pp. 325–329 (1997). DOI: 10.1016/S0038-1098(97)00203-2
Vol. 103 (6), pp. 325 - 329