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Spectral Comparison Theorem for the Dirac Equation

Richard L. Hall
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Abstract

We consider a single particle which is bound by a central potential and obeys the Dirac equation. We compare two cases in which the masses are the same but Va < Vb, where V is the time-component of a vector potential. We prove generally that for each discrete eigenvalue E whose corresponding (large and small) radial wave functions have no nodes, it necessarily follows that Ea < Eb. As an illustration, this general relativistic comparison theorem is applied to approximate the Dirac spectrum generated by a screened-Coulomb potential.

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BibTeXRIS

Richard L. Hall. 1999-06-14. Spectral Comparison Theorem for the Dirac Equation. https://doi.org/10.1103/physrevlett.83.468

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