33 citations · 96 across the 12 of their papers we have counts for
9 papers · 1 filter
Regularity of the (N-1)-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons
Thierry Jecko, Camille Noûs
We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and N electrons (N>1). Near appropriate electro…
Limited regularity of a specific electronic reduced density matrix for molecules
Thierry Jecko, Camille Noûs
We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and N electrons (N>1). Near appropriate electro…
On Schrödinger and Dirac Operators with an Oscillating Potential
Thierry Jecko
We review some results on the spectral theory of Schr{ö}dinger and Dirac operators. We focus on two aspects: the existence of embbedded eigen-values in the essential spectrum and t…
Limiting Absorption Principle for Schrödinger Operators with Oscillating Potential
Thierry Jecko, Aiman Mbarek
Making use of the weighted Mourre theory developed in [GJ1], we show the limiting absorption principle for Schr{ö}dinger operators with perturbed oscillating potential on appropria…
On Factorization of Molecular Wavefunctions
Thierry Jecko, Brian T. Sutcliffe, R. Guy Woolley
Recently there has been a renewed interest in the chemical physics literature of factorization of the position representation eigenfunctions \{\} of the molecular Schrödinger eq…
Resonances in the Two-Centers Coulomb Systems
Marcello Seri, Andreas Knauf, Mirko Degli Esposti +1
We investigate the existence of resonances for two-centers Coulomb systems with arbitrary charges in two dimensions, defining them in terms of generalised complex eigenvalues of a…