5 citations · 6 across the 6 of their papers we have counts for
6 papers
Widths of highly excited resonances in multidimensional molecular predissociation
André Martinez, Vania Sordoni
We investigate the simple resonances of a 2 by 2 matrix of n-dimensional semiclassical Shrödinger operators that interact through a first order differential operator. We assume tha…
On the Born-Oppenheimer approximation of diatomic molecular resonances
André Martinez, Vania Sordoni
We give a new reduction of a general diatomic molecular Hamiltonian, without modifying it near the collision set of nuclei. The resulting effective Hamiltonian is the sum of a smoo…
The Stark effect on -like molecules
Vincenzo Grecchi, Hynek Kovarik, Andre Martinez +2
We consider the vibrational energy levels of the first two electronic states of the molecule ion . The Born-Oppenheimer method applied to the case of the Stark effect on a $…
Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules
Andre' Martinez, Vania Sordoni
We construct an abstract pseudodifferential calculus with operator-valued symbol, adapted to the treatment of Coulomb-type interactions, and we apply it to study the quantum evolut…
Analytic Wave Front Set for Solutions to Schrödinger Equations II -- Long Range Perturbations
Andre' Martinez, Shu Nakamura, Vania Sordoni
This paper is a continuation of a paper by the authors: arXiv:0706.0415, where short range perturbations of the flat Euclidian metric where considered. Here, we generalize the resu…
Analytic wave front set for solutions to Schroedinger equation
Andre' Martinez, Shu Nakamura, Vania Sordoni
This paper is a continuation of a previous paper by the same authors, where an analytic smoothing effect was proved for long-range type perturbations of the Laplacian on $\re…