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Quantum Numbers02:43

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.
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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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Standing Waves in a Cavity01:28

Standing Waves in a Cavity

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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Masonry Cavity Walls01:26

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Cavity walls feature a hollow space between the outer and inner wythes, connected only by corrosion-resistant metal ties. When water seeps through the outer wythe, it descends within this cavity, intercepted by flashing and eventually exiting through weep holes. To enhance moisture resistance, the inner wythe's cavity side often receives damp-proofing, doubling as an air barrier. The cavity can also house insulation to mitigate heat transfer.
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Related Experiment Video

Updated: Feb 15, 2026

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection
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Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

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Collective Optomechanical Effects in Cavity Quantum Electrodynamics.

Erika Cortese1, Pavlos G Lagoudakis1,2, Simone De Liberato1

  • 1School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom.

Physical Review Letters
|January 18, 2018
PubMed
Summary

We show how collective light-matter coupling drives optical dipole alignment, leading to a second-order phase transition. This transition, observed in cavity quantum electrodynamics, influences matter

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Area of Science:

  • Cavity Quantum Electrodynamics
  • Quantum Optomechanics
  • Condensed Matter Physics

Background:

  • Freely rotating optical dipoles can collectively couple to cavity fields.
  • Understanding strong light-matter interactions is key to controlling material properties.

Purpose of the Study:

  • To investigate cavity quantum electrodynamic effects on the alignment of optical dipoles.
  • To explore the potential for strong coupling to influence matter's internal degrees of freedom.

Main Methods:

  • Formal equivalence between rotating dipoles and polymers was exploited.
  • The partition function of the coupled light-matter system was calculated.

Main Results:

  • A second-order phase transition was demonstrated between isotropic and aligned dipole states.
  • The transition manifested as an intensity-dependent shift in polariton mode resonance.

Conclusions:

  • Collective coupling to a cavity field can drive dipole alignment and induce phase transitions.
  • This work bridges cavity quantum electrodynamics and quantum optomechanics, advancing control over matter via strong coupling.