Quantum dots. A survey of rigorous results

1998/12/13 by Jakob Yngvason, Yngvason, Jakob
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #Quantum-Dot Cellular Automata #cond-mat.mes-hall #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/9812009

20 pages, 1 figure; to appear in the proceedings of the conference on Mathematical Results in Quantum Mechanics, Prague, June 1998

arxiv created 1998/12/13 · openalex publication_date 1998/12/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper reviews rigorous results about quantum dots, in particular exact solutions for few electron dots and limit theorems for high magnetic fields and/or high electron number.

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