11 citations · 27 across the 7 of their papers we have counts for
5 papers · 1 filter
Second-order adiabatic connection: The theory and application to two electrons in a parabolic confinement
Andreas Savin, Jacek Karwowski
The adiabatic connection formalism, usually based on the first-order perturbation theory, has been generalized to an arbitrary order. The generalization stems from the observation…
Erfonium: A Hooke Atom with Soft Interaction Potential
Jacek Karwowski, Andreas Savin
Properties of erfonium, a Hooke atom with the Coulomb interaction potential replaced by a non-singular potential are investigated. The structure of the Hoo…
Correcting models with long-range electron interaction using generalized cusp conditions
Andreas Savin, Jacek Karwowski
Sources of energy errors resulting from the replacement of the physical Coulomb interaction by its long-range approximation are explored. It is demonstrated t…
Two-particle coalescence conditions revisited
Jacek Karwowski, Andreas Savin
The notion of the n-th order local energy, generated by the n-th power of the Hamiltonian, has been introduced. The n-th order two-particle coalescence conditions have been derived…
Smooth models for the Coulomb potential
Cristina E. González-Espinoza, Paul. W Ayers, Jacek Karwowski +1
Smooth model potentials with parameters selected to reproduce the spectrum of one-electron atoms are used to approximate the singular Coulomb potential. Even when the potentials do…