Mathematical Analysis of Effective Models and Critical Phenomena in Quantum Transport

Project funded by Independent Research Fund Denmark (DFF-Forskningsprojekt1), grant 8021-00084A. Participating organisations named by the source: AAU Aalborg University. Runs n/a to 2022-06-30. Keywords: steady states, spectral analysis, elliptic partial differential equations, (nonlinear) quantum evolution, Parseval tight-frames. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2025-08-01); national funding data, not CORDIS. Abstract given by the source: Vi skal bidrage til den stringente matematisk forståelse af kvantetransport i mesoskopiske systemer. Vi skal først konstruere diskrete effektive modeler, som beholder alle de vigtige egenskaber af de tilsvarende "rigtige" kontinuerte kvantesystemer. Bagefter skal vi analysere de dynamiske og spektrale egenskaber af disse diskrete modeler. Vores matematiske og numeriske resultater kan være relevante for andre forskningsområder som for eksempel faststoffysik og signalbehandling.

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of Independent Research Fund Denmark. Retrieved 2026-11-02. Licence: Creative Commons Attribution 4.0 (OpenAIRE Graph). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: Creative Commons Attribution 4.0 (CC BY 4.0).

AI-assisted summary: The project "Mathematical Analysis of Effective Models and Critical Phenomena in Quantum Transport" is funded by the Independent Research Fund Denmark and involves Aalborg University. It focuses on constructing discrete effective models for quantum transport in mesoscopic systems. Suggested technology pillar: enabling. Generated by AI from the public source text; it may contain errors and the original source is authoritative.