Special comparison theorem for the Dirac equation

Details Special comparison theorem for the Dirac equation Special comparison theorem for the Dirac equation

2008-08-04

arxiv.org/abs/0808.0486v1

Phys.Rev.Lett.101:090401,2008

Physics

Mathematical Physics

3 pages

Scientific paper

10.1103/PhysRevLett.101.090401

If a central vector potential V(r,a) in the Dirac equation is monotone in a
parameter 'a', then a discrete eigenvalue E(a) is monotone 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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