Photon as a Mathematical Concept in Theoretical Physics

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SUMMARY

The discussion centers on the characterization of photons as mathematical constructs rather than real particles in theoretical physics. Participants highlight that photons represent energy levels in oscillators, with their absorption or emission altering these levels. Unlike electrons, photons lack a meaningful wave function and position coordinate, emphasizing their abstract nature. The conversation underscores the complexity of understanding photons, which diverges from the conventional particle concept.

PREREQUISITES
  • Understanding of electromagnetic field theory
  • Familiarity with quantum mechanics and wave-particle duality
  • Knowledge of oscillator models in physics
  • Basic grasp of energy and momentum concepts
NEXT STEPS
  • Explore the oscillator expansion of electromagnetic fields
  • Study the implications of wave functions in quantum mechanics
  • Investigate the differences between particles and wave-like entities in physics
  • Learn about the mathematical frameworks used in theoretical physics
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Theoretical physicists, quantum mechanics students, and anyone interested in the foundational concepts of particle physics and the nature of light.

athosanian
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I always have some interesting on the photon. after I read the oscillator expansion of the electromagnetic field in a finite volume, I find photon is more a mathematical concept in theoretical physics than real particle.

not like electrons, number of photon is a representation of the energy level of a oscillator.by absorbing or emitting a photon the energy level of the oscillator will be changed.

thereofre not like electron the wave function of a photon is meaningless because the position coordinate of the photon has no physical meaning. But of course we can discuss the energy and momentum of a photon.
 
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You won't get very far saying that a photon is not a real particle, as that will lead to a silly argument about what "real" means followed by rapid thread closure... But you are right that it takes a fair amount of math to understand what a photon is, and that the common sense notion of "particle" as a little tiny object moving through space works a lot better for electrons than it does for photons.
 

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