Wave function of a photon in a spherical cavity

In summary, the conversation discusses a basic problem in relativistic quantum mechanics regarding the wave function of a photon or particle with zero rest mass in a spherical 3D cavity with a potential energy of V=0 inside and V=k outside. The person is seeking help and has been unable to find solutions for zero rest mass online, but suggests checking a quantum optics textbook for similar derivations. Another person also suggests a relevant article on the topic.
  • #1
tarquinius
11
0
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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  • #2
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.
 
  • #3

1. What is the wave function of a photon in a spherical cavity?

The wave function of a photon in a spherical cavity is a mathematical representation of the probability of finding the photon at a specific location within the cavity. It describes the wave-like behavior of the photon and is an important concept in quantum mechanics.

2. What factors affect the wave function of a photon in a spherical cavity?

The wave function of a photon in a spherical cavity can be affected by the size and shape of the cavity, the energy of the photon, and the properties of the materials that make up the cavity walls. It can also be influenced by external factors such as temperature and electromagnetic fields.

3. How is the wave function of a photon in a spherical cavity calculated?

The wave function of a photon in a spherical cavity is calculated using mathematical equations and principles from quantum mechanics, such as the Schrödinger equation. The specific calculations may vary depending on the properties of the photon and the cavity.

4. What is the significance of the wave function of a photon in a spherical cavity?

The wave function of a photon in a spherical cavity is significant because it allows us to understand and predict the behavior of photons in confined spaces. This is important in fields such as quantum optics and quantum computing, where the manipulation and control of photons is crucial.

5. Can the wave function of a photon in a spherical cavity be observed or measured?

No, the wave function of a photon in a spherical cavity cannot be directly observed or measured. It is a theoretical concept used to describe the behavior of photons in confined spaces. However, the effects of the wave function can be observed through experiments and measurements of photon behavior in a spherical cavity.

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