Dirac eigenvalues for a softcore Coulomb potential in d dimensions

Details Dirac eigenvalues for a softcore Coulomb potential in d dimensions Dirac eigenvalues for a softcore Coulomb potential in d dimensions

2012-02-08

arxiv.org/abs/1202.1814v1

J. Phys. A: Math. Theor. 45 (2012) 115303

Physics

Mathematical Physics

8 pages 1 figure

Scientific paper

A single fermion is bound by a softcore central Coulomb potential V(r) =
-v/(r^q + b^q)^(1/q), v>0, b>0, q \ge 1, in d>1 spatial dimensions. Envelope
theory is used to construct analytic lower bounds for the discrete Dirac energy
spectrum. The results are compared to accurate eigenvalues obtained
numerically.

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