Rémi Lefebvre

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In this study we examine the bifurcation of the transition between walking and running. Beuter and Lalonde (1986) have conjectured that the pertinent parameters separating walking and running can be described by a cusp singularity (Thom, 1972). In this model, the unidimensional state space is characterized by support duration and the bidimensional parameter(More)
Some situations in the determination of molecular wave functions require to go beyond the Born-Oppenheimer (BO) approximation, with the wave function written as the product of an electronic wave function depending parametrically on the nuclear coordinates and a nuclear wave function. Such situations are usually treated by combining BO products. This form of(More)
The exact factorization of molecular wave functions leads to nuclear factors which should be nodeless functions. We reconsider the case of vibrational perturbations in a diatomic species, a situation usually treated by combining Born-Oppenheimer products. It was shown [R. Lefebvre, J. Chem. Phys. 142, 074106 (2015)] that it is possible to derive, from the(More)
We study theoretically the photodissociation dynamics of the H_{2};{+} molecular ion exposed to a linearly polarized laser light. It is shown that it is possible to choose a laser wavelength and intensity so as to produce a coalescence of two photodissociation vibronic resonance states. At such a coalescence point, also called an exceptional point, the(More)
Studying dental ontogeny in mammals can provide valuable insight on the evolution of their masticatory apparatus and their related adaptations. The multiple acquisitions of a prolonged to continuous growth of teeth in herbivorous mammals in response to high abrasion represent an intensively investigated issue. However, the ontogenetic and architectural(More)
New and existing spectroscopic data on N(2), obtained using a wide variety of experimental techniques, are interpreted using a coupled-channel Schrodinger-equation (CSE) model of the structure and predissociation dynamics for the interacting Rydberg and valence states of (3)Pi(u) symmetry. As a result, v>0 levels of the 3ppi(u)G(3) (3)Pi(u) Rydberg state(More)
{ We show that the transition of free particles (regardless of their mass) through a periodically driven potential barrier can be almost 100%, although the probability of tunneling through the static potential barrier is almost zero. The conditions for this to happen are discussed and physical candidates for eld-induced transparency are examined. There is(More)
We examine a short way to reach an exceptional point that corresponds to a coalescence of two resonance energies. The application concerns the photodissociation of the Na2 molecule exposed to a laser field. In this case, the resonances can be correlated with the field-free vibrational states of the diatomic species. The resonances are due to the(More)
................................................................................................................................................. 3 INTRODUCTION ........................................................................................................................................ 4 MECHANISM OF AIR FLOW(More)
With a specific choice of laser parameters resulting in a so-called exceptional point (EP) in the wavelength-intensity parameter plane, it is possible to produce the coalescence of two Floquet resonances describing the photodissociation of the Na(2) molecule, which is one of the candidates for the formation of samples of translationally cold molecules. By(More)