Wave function of a photon in a spherical cavity

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SUMMARY

The wave function of a photon in a spherical cavity with potential energy V=0 inside and V=k (k>0) outside can be analyzed using relativistic quantum mechanics. Solutions typically assume particles with non-zero rest mass, but derivations for massless particles exist in quantum optics literature. A recommended resource for further understanding is the quantum optics textbook and the paper available at arxiv.org.

PREREQUISITES
  • Understanding of relativistic quantum mechanics
  • Familiarity with wave functions and potential energy concepts
  • Knowledge of quantum optics principles
  • Basic grasp of spherical coordinate systems in physics
NEXT STEPS
  • Study the derivation of wave functions for massless particles in quantum optics
  • Research the implications of potential energy in quantum systems
  • Examine the mathematical framework of spherical cavities in quantum mechanics
  • Read the paper at arxiv.org for advanced insights
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Physicists, quantum mechanics students, and researchers interested in the behavior of massless particles in confined systems.

tarquinius
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Hello there, could anyone help me with a certain basic problem in relativistic QM? What would be the wave function of a photon (or generally a particle with zero rest mass) in a spherical 3D cavity, having potential energy V=0 within the cavity and V=k outside the sphere (k>0)? I have been trying to google it but all I have found were just solutions assuming nonzero rest mass.

Thanks in advance.
 
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I think you can solve this bad-boy non-relativistically, there are many derivations in quantum optics texts where there is a cavity with volume V, and the wave function is derived. Id check out a quantum optics textbook.
 

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