On properties of the discrete and continuous spectrum for the radial Dirac equation
type: Item
instance of: scholarly article
title: On properties of the discrete and continuous spectrum for the radial Dirac equation
zbMATH Open document ID: 0940.34067
DOI: 10.1007/BF02070514
published in: Theoretical and Mathematical Physics
publication date: 2000-01-03T00:00:00Z
review text: The author investigates the radial part of the Dirac equation with an additional to Coulomb potential. The motivation is to characterize the nature of the spectrum. The concept of a quantum defect, similar to that of the radial Schrödinger equation was introduced previously by the author. In this paper, some results pertaining to quantum defects of discrete and continuous specra of the radial Dirac equation announced before hand are proved and theorems on quantum defects to the case of nonregular potentials are extended. Most importantly, the author presents explicit expressions for the quantum defects of discrete and continuous spectra for regular potentials and points out that they are the same as in the nonrelativistic theory.
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 34L20
Mathematics Subject Classification ID: 47N50
zbMATH DE Number: 1382723
zbMATH Keywords: radial Dirac equation
zbMATH Keywords: discrete and continuous spectra
zbMATH Keywords: quantum defect
zbMATH Keywords: asymptotic properties
zbMATH Keywords: radial Schrödinger equation
author: Lev A. Sakhnovich
MaRDI profile type: Publication
cites work: Q5822220
cites work: Q5848416
cites work: Q3264049
cites work: Q5516130
full work available at URL: https://doi.org/10.1007/bf02070514
OpenAlex ID: W2284327545
description: scientific article; zbMATH DE number 1382723