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Special comparison theorem for the Dirac equation.

Authors
  • Hall, Richard L
Type
Published Article
Journal
Physical review letters
Publication Date
Aug 29, 2008
Volume
101
Issue
9
Pages
90401–90401
Identifiers
PMID: 18851588
Source
Medline
License
Unknown

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.

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