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Quantum Mechanics of Semiconductor Quantum Dots and Rings

2012/06/06 by I. Filikhin, Filikhin, I., S. G. Matinyan +3
Computer Science · Engineering · Physics and Astronomy · #Advanced Research in Systems and Signal Processing #Cellular Automata and Applications #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.48550/arxiv.1206.1354

32 pages, 26 figures; This paper is the basis of two talks of Sergei Matinyan presented at the workshop "Low Dimension Systems & Gauge principle" (Yerevan, Tbilisi, 2011)

arxiv created 2012/06/06 · openalex publication_date 2012/06/06 · arxiv updated 2012/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the several phenomena which are taking place in Quantum Dots (QD) and Quantum Rings (QR): The connection of the Quantum Chaos (QC) with the reflection symmetry of the QD, Disappearance of the QC in the tunnel coupled chaotic QD, electron localization and transition between Double Concentric QR in the transverse magnetic field, transition of electron from QR to the QD located in the center of QR. Basis of this consideration is the effective Schrödinger equation for the corresponding systems.

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