Atomic Physics: Quantization axis

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SUMMARY

The discussion centers on the Voigt configuration in atomic physics, specifically regarding the interaction of a linearly polarized monochromatic wave with an atom in the presence of a magnetic field. The magnetic field is applied perpendicular to both the k-vector and the E-vector of the light, leading to a challenge in determining the driven transitions within the atom. The total angular momentum, denoted as Mj, is established as ±1 under these conditions, indicating the quantization axis defined by the magnetic field.

PREREQUISITES
  • Understanding of Voigt configuration in atomic physics
  • Knowledge of linearly polarized light and its properties
  • Familiarity with angular momentum in quantum mechanics
  • Basic principles of magnetic field interactions with atomic systems
NEXT STEPS
  • Research the Voigt configuration and its applications in atomic transitions
  • Study the decomposition of electric fields in the presence of magnetic fields
  • Explore the implications of angular momentum quantization in atomic physics
  • Investigate experimental setups for observing transitions in magnetic fields
USEFUL FOR

Students and researchers in atomic physics, particularly those studying the effects of magnetic fields on atomic transitions and polarization of light.

Niles
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Homework Statement


Hi

I have a question - it is not homework, but something I have thought about for a long time. I really can't come up with a solution to the problem, and it is driving me crazy. Here is the problem:

Say I have a linearly polarized monochromatic wave incident on an atom. The k-vector and the E-vector of the light form a right angle. Now say I apply a magnetic field, but such that it is perpendicular to both k and E. My problem is that I don't know what transition will be driven in the atom.

The B-field defines the quantization axis. But somehow I need to decompose the E-field such that it points along B. What is the strategy for doing this?

I would be very happy to get some feedback/hints.


Niles.
 
Physics news on Phys.org
What you described above is Voigt configuration. In your case when magnetic field is perpendicular to the electric vector and k- vector of a light, the total angular momentum Mj=±1.
 

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