Classical Circular Polarization vs. Photon Spin Eigenstates

In summary, the conversation discusses whether an electromagnetic wave that is not circularly polarized in classical physics corresponds to photons with a spin 0 eigenstate in quantum mechanics. It is clarified that photons do not have a spin 0 eigenstate, but rather a superposition of spin +1 and -1 states. This is similar to how a classical wave can be described as a superposition of circularly polarized waves. It is also mentioned that a massless spin 1 particle has only 2 eigenstates.
  • #1
LarryS
Gold Member
349
33
Hello,

Given an electromagnetic wave that is, from a classical point-of-view, not circular polarized. Does that correspond in QM to photons with the ZERO spin eigenstate?

Thanks in advance.
 
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  • #2
Photons do not have a spin 0 eigenstate, since they are massless spin 1 particles. Also be very careful in trying to treat classical fields as photons. Classical fields are generally described by coherent quantum states and not states carrying a particular number of photons.
 
  • #3
No, it corresponds to a superposition of states with spin +1 and -1, just like the classical wave can be written as a superposition (sum) of circularly polarized waves.
 
  • #4
So, by "spin +1" and "-1", are you referring to 2 of the 3 eigenvalues of the spin 1 operator/matrix for the Z direction?
 
  • #5
This is the thing, a massless spin 1 particle has only 2 eigenstates.
 
  • #6
I just got it. Thank you both.
 

Related to Classical Circular Polarization vs. Photon Spin Eigenstates

1. What is the difference between classical circular polarization and photon spin eigenstates?

Classical circular polarization refers to the polarization of electromagnetic waves, where the electric field oscillates in a circular motion. Photon spin eigenstates, on the other hand, refer to the intrinsic angular momentum of a photon, which can either be right-handed or left-handed. In classical polarization, the direction of the electric field determines the polarization, while in photon spin eigenstates, the direction of the photon's spin determines its polarization.

2. How are classical circular polarization and photon spin eigenstates related?

Classical circular polarization can be described as a superposition of two photon spin eigenstates, with equal magnitudes and opposite directions. This means that classical circularly polarized light is made up of photons with both right-handed and left-handed spins.

3. Can photons with different spin eigenstates interact with each other?

No, photons with different spin eigenstates cannot interact with each other because they have different quantum numbers and cannot be in the same state at the same time. This is known as the Pauli exclusion principle.

4. How is the polarization of light measured in classical circular polarization and photon spin eigenstates?

In classical circular polarization, the polarization is measured by the orientation of a polarizer relative to the direction of the electric field. In photon spin eigenstates, the polarization is measured by the direction of the photon's spin, which can be determined through experiments such as the Stern-Gerlach experiment.

5. Is it possible to convert classical circularly polarized light into a single photon spin eigenstate?

Yes, it is possible to convert classical circularly polarized light into a single photon spin eigenstate through a process called polarization filtering. This involves using polarizers and waveplates to selectively filter out photons with a certain spin eigenstate, resulting in a beam of light with only one type of polarization.

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