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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.

The de Broglie Wavelength

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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.

The Bohr Model

The Bohr Model

Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as...

Electron Orbital Model

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Orbitals are the areas outside of the atomic nucleus where electrons are most likely to reside. They are characterized by different energy levels, shapes, and three-dimensional orientations. The location of electrons is described most generally by a shell or principal energy level, then by a subshell within each shell, and finally, by individual orbitals found within the subshells.
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Electronic Structure of Atoms

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Updated: Jul 5, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Language models for quantum simulation.

Roger G Melko^1,2, Juan Carrasquilla^3,4,5

¹Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, Canada. rmelko@perimeterinstitute.ca.

Nature Computational Science

|January 22, 2024

Summary

This summary is machine-generated.

Language models are revolutionizing quantum computing by learning complex qubit correlations. These machine learning tools are crucial for simulating quantum devices and achieving quantum advantage.

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Area of Science:

Quantum Computing
Machine Learning
Artificial Intelligence

Background:

Simulating quantum computing devices presents a significant challenge due to complex qubit correlations.
Machine learning, particularly language models, shows promise in understanding and encoding these quantum states.

Purpose of the Study:

To highlight the current contributions of language models in quantum computing.
To discuss the future role of language models in achieving quantum advantage.

Main Methods:

Utilizing language models adapted from machine learning.
Applying these models to learn and encode quantum states and qubit correlations.

Main Results:

Language models demonstrate unique abilities in learning complex quantum states.
These models are becoming key tools in the simulation of quantum devices.

Conclusions:

Language models are essential for overcoming simulation challenges in quantum computing.
Their continued development is vital for the pursuit of quantum advantage.