We present a new dimensional scaling transformation of the Schrödinger equation for the
two electron bond. This yields, for the first time, a good description of the bond via D scaling …

In the large-dimension limit, a scaling transformation reduces electronic structure to a
classical form in which the wavefunctions shrink to delta functions. The fixed geometrical …

A contracted Schrödinger equation 1, 2-CSE is derived for the class of Hamiltonians without
explicit interactions including those from Hartree–Fock and density functional theories. With …

Niels Bohr originally applied his approach to quantum mechanics to the H atom with great
success. He then went on to show in 1913 how the same “planetary-orbit” model can predict …

Chief features of dimensional scaling methods are exemplified by briefly reviewing
prototypical applications and recent developments. The pseudoclassical large‐D limit …

The standard dimensional continuation of the Schrddinger equation, in which the kinetic
energy is generalized to arbitrary D, while the potential energy is left unchanged, leads to …

The combination of density‐functional theory with other approaches to the many‐electron
problem through the separation of the electron–electron interaction into a short‐range and a …

A new formula, EL− E∝(L+ 3/4)− 3, to extrapolate energies, EL (that arise when the basis
set is truncated at a finite angular momentum quantum number, L) to the limit, E, is derived …

The calculation of bond energies and barrier heights from first principles has long been a
major goal of quantum chemistry. Two approximations are, however, introduced in solving …

Many-body problems involving nonseparable interactions of strongly correlated particles are
abundant in chemical physics and notoriously daunting. Among promising unconventional …