Atomic Physics: Quantization axis

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The discussion revolves around the effects of a magnetic field on a linearly polarized monochromatic wave interacting with an atom. The user is confused about how to determine the atomic transition when the magnetic field is perpendicular to both the k-vector and the electric field vector. A response identifies this scenario as a Voigt configuration, noting that the total angular momentum Mj is ±1 in this case. The user seeks strategies for decomposing the electric field to align with the quantization axis defined by the magnetic field. The conversation highlights the complexities of atomic transitions in the presence of external fields.
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.
 
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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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