output
19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2014 · math-phShow all

3 papers · 2 filters

math-ph2014★ 22 cited

Quantum transport in crystals: effective-mass theorem and k.p Hamiltonians

Luigi Barletti, Naoufel Ben Abdallah

In this paper the effective mass approximation and k.p multi-band models, describing quantum evolution of electrons in a crystal lattice, are discussed. Electrons are assumed to mo…

math-ph2014★ 4 cited

On quantum percolation in finite regular graphs

Charles Bordenave

The aim of this paper is twofold. First, we study eigenvalues and eigenvectors of the adjacency matrix of a bond percolation graph when the base graph is finite and well approximat…

math-ph2014★ 10 cited

Exponential decay for the Schr{ö}dinger equation on a dissipative waveguide

Julien Royer

We prove exponential decay for the solution of the Schr{ö}dinger equation on a dissipative waveguide. The absorption is effective everywhere on the boundary but the geometric contr…