Critical Phenomena for Electronic Structure at the Large-Dimension Limit

We show that the symmetry breaking of the electronic structure configurations at the large-D limit is completely analogous to the standard phase transitions and critical phenomena in statistical mechanics. Electronic structure at the large-D limit exhibits critical points with mean field critical exponents (β=1/2, α=0dis, δ=3, and γ=1). The complete mapping is presented for the Hartree-Fock two-electron atom in weak electric field and the two Coulomb center problems. copyright 1996 The American Physical Society