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Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

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...
The de Broglie Wavelength02:32

The de Broglie Wavelength

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...
The Wave Nature of Light02:12

The Wave Nature of Light

The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
Electronic Structure of Atoms02:28

Electronic Structure of Atoms


An atom comprises protons and neutrons, which are contained inside the dense, central core called the nucleus, with electrons present around the nucleus. Taking into account the wave–particle duality of electrons and the uncertainty in position around the nucleus, quantum mechanics provides a more accurate model for the atomic structure. It describes atomic orbitals as the regions around the nucleus where electrons of discrete energy exist, characterized by four quantum numbers:  n, l, ml, and...
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

Overview of Molecular Orbital Theory

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Updated: Jun 23, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Published on: May 30, 2014

Quantum structures in nonlinear optics and atomic physics: a background overview.

L Lugiato, G L Oppo

    Optics Express
    |April 22, 2009
    PubMed
    Summary
    This summary is machine-generated.

    This study explores quantum effects in spatial structures like optical patterns and trapped ions. It highlights key findings from recent research in this area.

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    Area of Science:

    • Quantum physics
    • Atomic physics
    • Optical physics

    Background:

    • Quantum phenomena are increasingly observed in engineered spatial structures.
    • Understanding these effects is crucial for developing new quantum technologies.

    Purpose of the Study:

    • To provide an overview of quantum effects in various spatial structures.
    • To summarize recent advancements presented in this Focus Issue.

    Main Methods:

    • Review of theoretical and experimental studies on quantum effects.
    • Analysis of phenomena in nonlinear optical patterns.
    • Investigation of quantum states in trapped ions and atoms within optical lattices.

    Main Results:

    • Quantum effects manifest significantly in nonlinear optical patterns.
    • Chains of trapped ions and atoms in optical lattices exhibit unique quantum behaviors.
    • The Focus Issue compiles diverse and important findings in the field.

    Conclusions:

    • Spatial structures offer a powerful platform for studying and utilizing quantum mechanics.
    • Continued research in this area promises significant technological advancements.