Variable-phase method and Levinson's theorem in two dimensions: Application to a screened Coulomb potential

M. E. Portnoi, I. Galbraith

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

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. © 1997 Elsevier Science Ltd.

Original languageEnglish
Pages (from-to)325-329
Number of pages5
JournalSolid State Communications
Volume103
Issue number6
Publication statusPublished - Aug 1997

Fingerprint Dive into the research topics of 'Variable-phase method and Levinson's theorem in two dimensions: Application to a screened Coulomb potential'. Together they form a unique fingerprint.

Cite this