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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. Schrödinger...

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 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...

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When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
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Related Experiment Videos

Quantum simulators.

Iulia Buluta¹, Franco Nori

¹Advanced Science Institute, RIKEN, Wako-shi, Saitama, 351-0198, Japan.

Science (New York, N.Y.)

|October 3, 2009

Summary

This summary is machine-generated.

Quantum simulators, controllable quantum systems, can solve complex problems intractable for classical computers. Emerging technologies make these powerful tools for exploring new physics a near-future reality.

Related Experiment Videos

Area of Science:

Quantum Physics
Computational Science

Background:

Classical computers face limitations in simulating complex quantum systems.
Quantum simulators offer a novel approach to understanding quantum phenomena.

Purpose of the Study:

To provide an overview of the feasibility and potential of quantum simulators.
To highlight the interdisciplinary applications of quantum simulation technology.

Main Methods:

Utilizing controllable quantum systems (neutral atoms, ions, photons, electrons).
Employing coherent control techniques for quantum system manipulation.

Main Results:

Quantum simulation technologies are nearing readiness for practical application.
Demonstration of the potential for simulating diverse physical phenomena.

Conclusions:

Quantum simulators are poised to become reality due to advancing technologies.
These simulators will enable breakthroughs in condensed-matter physics, high-energy physics, cosmology, atomic physics, and quantum chemistry.