EIGENSOLUTION OF SCHRODINGER-EQUATION FOR HARMONICALLY BOUND 2-BODY COULOMB SYSTEM

Taking two identical ions in a Paul trap, we solved the Schrodinger eq uation for one-, two-, and three-dimensional harmonically bound two-bo dy Coulomb models, in which the eigenfunctions are written in a series form and the eigenenergies are obtained from a continued fraction. Nu merical calculations are made for specific discussion of two- and thre e-dimensional case. The comparison with a former one-dimensional appro ximate work shows that our result is more general and accurate.