Dirac eigenvalues for a softcore Coulomb potential in d dimensions
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🧮 math-ph
math.MPphysics.atom-ph
keywords
coulombdimensionsdiraceigenvaluespotentialsoftcoreaccurateanalytic
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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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