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We present a new dimensional scaling transformation of the Schrodingerequation for the two electron bond. This yields, for the first time, a gooddescription of the two electron bond via D-scaling. There also emerges, in thelarge-D limit, an intuitively appealing semiclassical picture, akin to amolecular model proposed by Niels Bohr in 1913. In this limit, the electronsare confined to specific orbits in the scaled space, yet the uncertaintyprinciple is maintained because the scaling leaves invariant theposition-momentum commutator. A first-order perturbation correction,proportional to 1/D, substantially improves the agreement with the exact groundstate potential energy curve. The present treatment is very simplemathematically, yet provides a strikingly accurate description of the potentialenergy curves for the lowest singlet, triplet and excited states of H_2. Wefind the modified D-scaling method also gives good results for other molecules.It can be combined advantageously with Hartree-Fock and other conventionalmethods.Comment: 4 pages, 5 figures, to appear in Phys. Rev. Letter

Simple and Surprisingly Accurate Approach to the Chemical Bond Obtained from Dimensional Scaling