12 citations · 18 across the 8 of their papers we have counts for
4 papers · 1 filter
Fundamental Solutions and Green's Functions for certain Elliptic Differential Operators from a Pseudo-Differential Algebra
Heinz-Jürgen Flad, Gohar Flad-Harutyunyan
We have studied possible applications of a particular pseudo-differential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a cert…
Ellipticity of quantum mechanical Hamiltonians in the edge algebra
Heinz-Juergen Flad, Gohar Harutyunyan
We have studied the ellipticity of quantum mechanical Hamiltonians, in particular of the helium atom, in order to prove existence of a parametrix and corresponding Green operator.…
Asymptotic Parametrices of Elliptic Edge Operators
H. -J. Flad, G. Harutyunyan, B. -W. Schulze
We study operators on a singular manifold, here of conical or edge type, and develop a new general approach of representing asymptotics of solutions to elliptic equations close to…
Explicit Green operators for quantum mechanical Hamiltonians. I. The hydrogen atom
Heinz-Jürgen Flad, Gohar Harutyunyan, Reinhold Schneider +1
We study a new approach to determine the asymptotic behaviour of quantum many-particle systems near coalescence points of particles which interact via singular Coulomb potentials.…