Abstract

A quantum mechanical investigation has been made of the binding of an electron to a finite linear electric quadrupole in two configurations, one of which has two positive charges, each of charge + q, symmetrically placed about a negative charge -2 q, and the other has the signs of the charges reversed. When the expectation value of the Hamiltonian is minimized in a variational calculation using Gaussian wave functions and then set to equal zero, the solution of the resulting equation gives the value of the minimum quadrupole moment required to assure the existence of a bound state. It has been found that the ratio of minimum quadrupole moments required to bind an electron for the first and second configurations is 7.9.

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