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The Quantum-Mechanical Model of an Atom

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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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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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Updated: Oct 22, 2025

Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures

Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures

Published on: November 21, 2019

Quantum Optics in Nanostructures.

Yulia V Vladimirova^1,2, Victor N Zadkov^2,3

¹Department of Physics and Quantum Technology Centre, Lomonosov Moscow State University, 119991 Moscow, Russia.

Nanomaterials (Basel, Switzerland)

|August 27, 2021

Summary

This summary is machine-generated.

This review explores quantum optics effects in nanostructures, focusing on how plasmonic nanoparticles modify quantum emitter decay rates and light properties. It examines phenomena like fluorescence spectrum changes and the creation of squeezed and entangled light states.

Keywords:

antibunching and quantum statistics of photons nanophotonics nanoplasmonics nanostructure quantum emitter quantum entangled states quantum optics resonance fluorescence squeezed states two-level system

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Area of Science:

Quantum optics
Nanophotonics
Solid-state physics

Background:

Quantum emitters (QE) near plasmonic nanoparticles (NP) exhibit modified radiative and nonradiative decay rates.
The near-field properties around NPs are influenced by external laser polarization and NP plasmon resonances.

Purpose of the Study:

To review the effects of quantum optics in nanostructures, specifically the NP-QE system.
To analyze the modification of quantum optical phenomena by plasmonic nanoparticles and external fields.

Main Methods:

Modeling a two-level quantum emitter (QE) near a plasmonic nanoparticle (NP).
Analyzing near-field intensity and polarization distributions.
Investigating quantum optical effects in the NP + QE + laser system.

Main Results:

Plasmonic nanoparticles significantly alter quantum emitter decay rates.
Near-field characteristics are tunable via external field polarization and NP plasmon parameters.
Quantum phenomena such as modified fluorescence spectra, photon bunching/antibunching, and the generation of squeezed and entangled light states are observed.

Conclusions:

The NP-QE system offers a versatile platform for controlling and observing quantum optical effects.
This interaction enables the generation of non-classical light states with potential applications in quantum technologies.