11 citations · 12 across the 3 of their papers we have counts for
3 papers
math-ph2013
Interaction of "rigid" quantum systems
A. A. Kolpakov, A. G. Kolpakov
We introduce the notion of a "rigid" quantum system as a system with constant relative positions of its nuclei and constant relative distribution of the electrons with respect to t…
math.MG2012★ 11 cited
On the optimality of the ideal right-angled 24-cell
Alexander Kolpakov
We prove that among four-dimensional ideal right-angled hyperbolic polytopes the 24-cell is of minimal volume and of minimal facet number. As a corollary, a dimension bound for ide…
math-ph2012★ 1 cited
Complementarity problems for electro-neutral charged bodies
A. A. Kolpakov, A. G. Kolpakov
Solutions to the complementarity problem constructed in [1], generally, possess non-zero total charge. In natural sciences, bodies possessing non-zero total charge (ions and simila…