Quantum Mechanics of Semiconductor Quantum Dots and Rings

TL;DR

This paper explores various quantum phenomena in semiconductor quantum dots and rings, including quantum chaos, electron localization, and transitions influenced by magnetic fields, using effective Schrödinger equations.

Contribution

It provides a theoretical analysis connecting quantum chaos, symmetry, and electron transitions in quantum dots and rings, highlighting new insights into their quantum behavior.

Findings

Quantum chaos relates to QD symmetry.

Disappearance of quantum chaos in tunnel-coupled QDs.

Electron transitions between quantum rings and dots.

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 Schr\"odinger equation for the corresponding systems.