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The Quantum-Mechanical Model of an Atom

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.

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Updated: Apr 4, 2026

Compact Quantum Dots for Single-molecule Imaging

Compact Quantum Dots for Single-molecule Imaging

Published on: October 9, 2012

Reconfigurable Quantum-Dot Molecules Created by Atom Manipulation.

Yi Pan¹, Jianshu Yang¹, Steven C Erwin²

¹Paul-Drude-Institut für Festkörperelektronik, Hausvogteiplatz 5-7, 10117 Berlin, Germany.

Physical Review Letters

|August 29, 2015

Summary

This summary is machine-generated.

Researchers precisely assembled quantum-dot molecules on semiconductor surfaces using atom manipulation. These reconfigurable structures offer atomic precision for advanced quantum device fabrication.

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Area of Science:

Condensed Matter Physics
Quantum Science and Technology
Surface Science

Background:

Quantum dots are crucial for quantum computing and electronics.
Precise control over quantum dot arrangement and coupling is essential for device performance.
Existing methods for quantum dot construction often lack atomic precision or reconfigurability.

Purpose of the Study:

To demonstrate the construction of reconfigurable quantum-dot molecules using atom manipulation.
To achieve atomic precision in positioning and coupling quantum dots.
To explore the electrostatic confinement of surface-state electrons within adatom chains.

Main Methods:

Utilized scanning tunneling microscopy (STM) at cryogenic temperatures (5 K) for atom manipulation.
Constructed quantum dots from chains of charged adatoms on a semiconductor surface.
Created and reversibly controlled tunnel barriers using the STM tip for quantum dot coupling.

Main Results:

Successfully assembled coupled quantum-dot molecules with atomic precision.
Demonstrated the ability to reversibly create and reposition tunnel barriers.
Achieved reproducible atomic structures for coupling elements.
Showcased reconfigurable quantum-dot molecules through precise atom manipulation.

Conclusions:

Atom manipulation via STM provides a powerful tool for constructing precisely controlled quantum-dot molecules.
Reconfigurable quantum-dot architectures can be realized with atomic precision.
This technique opens new avenues for designing and fabricating advanced quantum devices.