Transitions caused by circularly polarized light

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SUMMARY

The discussion focuses on the relationship between photon spin/helicity, circular polarization of light, and atomic transitions. It confirms that left circularly polarized light consists of photons in the same helicity eigenstate, aligning their spin angular momentum with the direction of propagation. When a photon with spin angular momentum +ħ along the z-axis is absorbed by an atom, angular momentum conservation dictates that the atom transitions from a state with quantum number m_j to m_j+1 or m_j-1, depending on the polarization of the light. The clarification emphasizes the importance of completely left circularly polarized light in this context.

PREREQUISITES
  • Understanding of photon spin and helicity
  • Knowledge of circular polarization of light
  • Familiarity with atomic transitions and quantum numbers
  • Basic principles of angular momentum conservation in quantum mechanics
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  • Study the properties of photon helicity and its implications in quantum mechanics
  • Learn about the interaction of circularly polarized light with atomic systems
  • Explore the concept of angular momentum conservation in quantum transitions
  • Investigate the differences between left and right circularly polarized light in atomic absorption processes
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Physicists, quantum mechanics students, and researchers interested in the interaction of light with matter, particularly in the context of atomic transitions and polarization effects.

The_Duck
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Hi all,

I am not quite clear on the relationship between photon spin/helicity, circular polarization of light, and atomic transitions, and I hope someone can clarify a few points. Below are statements that I think are true but are not confident about.

(1) Is it correct to say that if I have some left circularly polarized light, all the photons in it are in the same helicity eigenstate, so that their spin angular momentums are all aligned and either point with or against the direction of propagation (which direction corresponds to left, and which to right?)

(2) If a photon traveling along the z axis is absorbed by an atom, which thereby makes a transition to another state, angular momentum should be conserved. So if the photon had spin angular momentum +hbar along the z axis (corresponding to some definite circular polarization), the atom should make a transition from an electronic state with quantum number m_j (representing the total spin and orbital angular momentum about the z axis) to a state with quantum number m_j+1?

(3) Therefore if I have circularly polarized light traveling in the z direction incident on some atoms, the atoms can only absorb the light by making m_j to m_j+1 or m_j to m_j-1 transitions, according as the the light is left or right circularly polarized?

Thanks in advance!
 
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All is correct, only I would concretize 1. by speaking of completely left circularly polarized light.
 

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