THE MAGNETIC FIELD GENERATED BY TWO ELECTRONS BOUND IN SOME ANGULAR MOMENTUM EIGENSTATES

Abstract

Application of a direct general method for calculating the magnetic field gen- erated by two electrons bound in angular momentum eigenstates is presented, illustrated and applied to the ground states of the tripositive ions Pr“ and V3+. The ground state wave functions are written as a four components spinor and the operators for‘ the orbital current and spin densities as a 4 >< 4 matrices. Analytical expressions for the expectation values of these opera- tors are presented by making use of hydrogenic wave function. The resulttent expressions of the current densities are substituted in the components of the magnetic field which gives unexpected results.