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9 papers · 2 filters
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…
The one dimensional semi-classical Bogoliubov-de Gennes Hamiltonian with PT symmetry: generalized Bohr-Sommerfeld quantization rules
Abdelwaheb Ifa, Michel Rouleux
We present a method for computing first order asymptotics of semiclassical spectra for 1-D Bogoliubov-de Gennes (BdG) Hamiltonian from Supraconductivity, which models the electron/…
Lower Bounds on the Localisation Length of Balanced Random Quantum Walks
Joachim Asch, Alain Joye
We consider the dynamical properties of Quantum Walks defined on the d-dimensional cubic lattice, or the homogeneous tree of coordination number 2d, with site dependent random phas…
Resolvent convergence to Dirac operators on planar domains
Jean-Marie Barbaroux, Horia D. Cornean, Loïc Le Treust +1
Consider a Dirac operator defined on the whole plane with a mass term of size m supported outside a domain Omega. We give a simple proof for the norm resolvent convergence, as m go…
On the forces that cable webs under tension can support and how to design cable webs to channel stresses
Guy Bouchitté, Ornella Mattei, Graeme W. Milton +1
In many applications of Structural Engineering the following question arises: given a set of forces applied at prescribed points $\ma…
Heat conservation and fluctuations between quantum reservoirs in the Two-Time Measurement picture
Tristan Benoist, Annalisa Panati, Yan Pautrat
This work concerns the statistics of the Two-Time Measurement definition of heat variation in each reservoir of a thermodynamic quantum system. We study the cumulant generating fun…