18 citations · 93 across the 21 of their papers we have counts for
11 papers · 1 filter
Spectral optimisation of Dirac rectangles
Philippe Briet, David Krejcirik
We are concerned with the dependence of the lowest positive eigenvalue of the Dirac operator on the geometry of rectangles, subject to infinite-mass boundary conditions. We conject…
Spectral properties of relativistic quantum waveguides
William Borrelli, Philippe Briet, David Krejcirik +1
We make a spectral analysis of the massive Dirac operator in a tubular neighborhood of an unbounded planar curve,subject to infinite mass boundary conditions. Under general assumpt…
Stark resonances in a quantum waveguide with analytic curvature
Philippe Briet, Mounira Gharsalli
We investigate the influence of an electric field on trapped modes arising in a two-dimensional curved quantum waveguide i.e. bound states of the corresponding Laplace op…
Twisted waveguide with a Neumann window
Philippe Briet, Hiba Hammedi
This paper is concerned with the study of theexistence/non-existence of the discrete spectrum of the Laplaceoperator on a domain of which consists in atwisted tube.…
Estimates on the molecular dynamics for the predissociation process
Philippe Briet, André Martinez
We study the survival probability associated with a semi-classical matrix Shrödinger operator that models the predissociation of a general molecule in the Born-Oppenheimer approxim…
Stark resonances in 2-dimensional curved quantum waveguides
Philippe Briet, Mounira Gharsalli
In this paper we study the influence of an electric field on a two dimen-sional waveguide. We show that bound states that occur under a geometrical deformation of the guide turn in…