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20092025
most citedAn Asymptotic-Preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition

66 citations · 177 across the 15 of their papers we have counts for

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5 papers · 1 filter

math-ph2020★ 5 cited

Quantum transmission conditions for diffusive transport in graphene with steep potentials

Luigi Barletti, Claudia Negulescu

We present a formal derivation of a drift-diffusion model for stationary electron transport in graphene, in presence of sharp potential profiles, such as barriers and steps. Assumi…

math-ph2018

Solvable models of quantum beating

R. Carlone, R. Figari, C. Negulescu +1

We review some results about the suppression of quantum beating in a one dimensional nonlinear double well potential. We implement a single particle double well potential model, ma…

math-ph2016

The quantum beating and its numerical simulation

Raffaele Carlone, Rodolfo Figari, Claudia Negulescu

We examine the suppression of quantum beating in a one dimensional non- linear double well potential, made up of two focusing nonlinear point interactions. The investigation of the…

math-ph2015

Hybrid classical-quantum models for charge transport in graphene with sharp potentials

Luigi Barletti, Claudia Negulescu

We give a concise account on the derivation of hybrid quantum-classical models for stationary electron transport in graphene, in presence of sharp potential steps of barriers. A qu…

math-ph2013★ 5 cited

De coherence for a heavy particle interacting with a light one: new analysis and numerics

Riccardo Adami, Maxime Hauray, Claudia Negulescu

We study the dynamics of a quantum heavy particle undergoing a repulsive interaction with a light one. The main motivation is the detailed description of the loss of coherence indu…