One-electron relativistic molecules with Coulomb interaction

One-Electron Relativistic Molecules with Coulomb Interaction

As an approximation to a relativistic one-electron molecule, K we study the operator H = ( A + m Z ) l / E e 2 ~ Z j [ x R j 1 1 with Z ~ 0 , j = l e -z = t37.04. H is bounded below if and only if eZZj < 2/~z, all j. Assuming this condition, the system is unstable when e22Zj> 2/7c in the sense that E o =inf s p e c ( H ) ~ ~ as the R j~0 , all j. We prove that the nuclear Coulomb repulsion more...

The One-dimensional Spinless Relativistic Coulomb Problem

Motivated by a recent analysis which presents explicitly the general solution, we consider the eigenvalue problem of the spinless Salpeter equation with a (“hard-core amended”) Coulomb interaction potential in one dimension. We prove the existence of a critical coupling constant (which contradicts the assertions of the previous analysis) and give analytic upper bounds on the energy eigenvalues....

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

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.

INTERACTION OF PROTEINS WITH SMALL MOLECULES

Analytical solution of the relativistic Coulomb problem with a hard core interaction for a one-dimensional spinless Salpeter equation

In this paper, we construct an analytical solution of the one-dimensional spinless Salpeter equation with a Coulomb potential supplemented by a hard core interaction, which keeps the particle in the x positive region. 03.65.Pm,03.65.Ge Typeset using REVTEX Chercheur I.I.S.N. E-mail: [email protected] 1