Conditions for the existence of the “primitive function” in “exchange perturbation theory”

Necessary conditions are derived that a symmetry-adapted perturbation theory for intermolecular forces (exchange perturbation theory) has to satisfy and which is essentially a condition for the existence of the primitive function Φ. The concept of a “genuine primitive function” is introduced and it is shown that the Φ of the AM, EL-HAV AND MS-MA schemes is not a genuine primitive function whereas that of the HS scheme is.     

New derivation and a k-particle generalization of SCF-type theories

A hierarchy of necessary conditions that an exact density matrix of a pure state or an ensemble has to satisfy is derived, namely the hermiticity of certain operators F^(k). For k = 1 this reduces to the well-known Hartree-Fock condition. It is then shown that the kth set of conditions is equivalent to stationarity of the energy with respect to unitary k-particle transformations. k-Particle generalizations of Hartree-Fock theory are then discussed both in the spirit of k-particle pseudoeigenvalue equations and in the framework of a Newton–Raphson-type constructive scheme.     

Über Propanal-2-Methyl-2-Brom

Ohne Zusammenfassung     

Beiträge zur Lumineszenzanalyse II

Ohne ZusammenfassungI.: Monatsh. Chem.55, 1930, S. 158, bzw. Sitzb. Ak. Wiss. Wien (II b)139, 1930, S. 74.     

Optische Methoden

Analytical and Bioanalytical Chemistry -     

Rhythmische Entmischung

Ohne Zusammenfassung