activity
20062024
most citedOn the mathematical treatment of the Born-Oppenheimer approximation

33 citations · 96 across the 12 of their papers we have counts for

collaborators

13 papers

math-ph2024★ 1 cited

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…

math-ph2023★ 3 cited

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…

math.AP2021

On the analyticity of electronic reduced densities for molecules

Thierry Jecko, Camille Noûs

We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions and fixed nuclei. Away from appropriate collisions, we prove t…

math-ph2019★ 2 cited

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…

math-ph2016★ 5 cited

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…

math-ph2015★ 16 cited

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…