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Special comparison theorem for the Dirac equation.

Author(s): Hall RL

Phys Rev Lett. 2008 Aug 29;101(9):090401 Authors: Hall RL

Article GUID: 18851588
Title:Special comparison theorem for the Dirac equation.
Authors:Hall RL
Link:https://www.ncbi.nlm.nih.gov/pubmed/18851588?dopt=Abstract
DOI:10.1103/PhysRevLett.101.090401
Category:Phys Rev Lett
PMID:18851588
Dept Affiliation: MATHSTATS
1 Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, Quebec, Canada H3G 1M8. rhall@mathstat.concordia.ca

Description:

Special comparison theorem for the Dirac equation.

Phys Rev Lett. 2008 Aug 29;101(9):090401

Authors: Hall RL

Abstract

If a central vector potential V(r,a) in the Dirac equation is monotonic in a parameter a, then a discrete eigenvalue E(a) is monotonic in a. For such a special class of comparisons, this generalizes an earlier comparison theorem that was restricted to node free states. Moreover, the present theorem applies to every discrete eigenvalue.

PMID: 18851588 [PubMed]