18 citations · 93 across the 21 of their papers we have counts for
24 papers
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…
Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene
Philippe Briet, Jean-Claude Cuenin, Leonid Golinskii +1
Combining the methods of Cuenin [2019] and Borichev-Golinskii-Kupin [2009, 2018], we obtain the so-called Lieb-Thirring inequalities for non-selfadjoint perturbations of an effecti…
Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide
Philippe Briet, Jaroslav Dittrich, David Krejcirik
Quantum waveguide with the shape of planar infinite straight strip and combined Dirichlet and Neumann boundary conditions on the opposite half-lines of the boundary is considered.…
Molecular dynamics at an energy-level crossing
Philippe Briet, André Martinez
This paper is a continuation of a previous work about the study of the survival probability modelizing the molecular predissociation in the Born-Oppenheimer framework. Here we cons…
Spectral analysis of sheared nanoribbons
Philippe Briet, Hamza Abdou Soimadou, David Krejcirik
We investigate the spectrum of the Dirichlet Laplacian in a unbounded strip subject to a new deformation of "shearing": the strip is built by translating a segment oriented in a co…