Phys. Rev. Lett. 101, 090401 (2008) [2 pages]Special Comparison Theorem for the Dirac EquationReceived 1 May 2008; published 25 August 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.090401
DOI:
10.1103/PhysRevLett.101.090401
PACS:
03.65.Pm, 03.65.Ge
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