One Electron Molecules with Relativistic Kinetic Energy: Properties of the Discrete Spectrum

Abstract

We discuss the discrete spectrum of the operator K HK(C) = [ h 2 c 2 A +m2c4] 1/2 -E Zke2[ x Rkt1. k=l More specifically, we study 1) the behaviour of the eigenvalues when the internuclear distances contract, 2) the existence of a c-independent lower bound for Hi~(c)-mc z, 3) the nonrelativistic limit of the eigenvalues of HK(C)--mc 2. 

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