Thursday, February 9, 2012

1202.1814 (Richard L. Hall et al.)

Dirac eigenvalues for a softcore Coulomb potential in d dimensions    [PDF]

Richard L. Hall, Petr Zorin
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.
View original: http://arxiv.org/abs/1202.1814

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