Understanding the Wave-Particle Duality of Light: Defining a Single Photon

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SUMMARY

The discussion centers on the wave-particle duality of light, specifically the nature of a single photon. A photon is defined as the first excited state of a mode in the electromagnetic field, which can be visualized as a harmonic oscillator in quantum mechanics. The conversation highlights the complexity of understanding photons, emphasizing their zero resting mass and spin-1 characteristics. The Journal "Optics and Photonics News" features an entire issue titled "What is a Photon," which provides further insights into this topic.

PREREQUISITES
  • Understanding of wave-particle duality in quantum mechanics
  • Familiarity with electromagnetic field theory
  • Basic knowledge of quantum harmonic oscillators
  • Awareness of photon properties, including mass and spin
NEXT STEPS
  • Research the concept of quantum harmonic oscillators in detail
  • Explore the electromagnetic field decomposition and its modes of oscillation
  • Study the implications of zero resting mass and spin-1 in quantum particles
  • Read the "What is a Photon" issue from the Journal "Optics and Photonics News"
USEFUL FOR

Physicists, students of quantum mechanics, and anyone interested in the fundamental nature of light and photons will benefit from this discussion.

StationZero
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I'm trying to differentiate the wave-particle duality of light-photons in order to understand what exactly distinguishes a single photon of light. I'm looking for a simplified, I'll even take an oversimplified, definition. I reviewd the wiki pages on photons/polarization, etc. and it's a morass of terms and equations that isn't helping me. I guess, conceptually I'm wondering if a single photon is composed of a single oscillation in the EM field propagating at c. Is it a short series of oscillations? Is it something of a traveling "wave packet" that has a central peak that decays symmetrically, or is something else?

Also, I know a photon has zero resting mass and spin 1, but how could one visualize one traveling through space? A little squiggling sideways S? A wavefront like so, ")"? An ellipse like a photon torpedo from Star Trek? I guess my challenge is to try to describe and define it while eschewing an avisual desciption of it in leiu of equations. Anyone?
 
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The Journal "Optics and Photonics News" devoted an entire issue to this question, entitled "What is a Photon", and it is available on line at this site.

However, I must say that after reading the articles, I still cannot answer your questions.
 
The electromagnetic field can be decomposed into an infinite set of independent modes of oscillation. These are usually taken to be the plane wave solutions, but need not be. Classically each mode behaves like a harmonic oscillator. In quantum mechanics on the other hand, a harmonic oscillator has a ground state and a series of discrete excited states.

A photon is the first excited state of one of the modes.
 

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