11 citations · 27 across the 7 of their papers we have counts for
7 papers
Geometric structures and deviations on James' symmetric positive-definite matrix bicone domain
Jacek Karwowski, Frank Nielsen
Symmetric positive-definite (SPD) matrix datasets play a central role across numerous scientific disciplines, including signal processing, statistics, finance, computer vision, inf…
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…
Symmetries in Reversible Programming: From Symmetric Rig Groupoids to Reversible Programming Languages
Vikraman Choudhury, Jacek Karwowski, Amr Sabry
The family of reversible programming languages for boolean circuits is presented as a syntax of combinators witnessing type isomorphisms of algebraic datatypes. In this…
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…