Kavli Affiliate: Lihong V. Wang
| First 5 Authors: Lihong V. Wang, Lihong V. Wang, , ,
| Summary:
We present a geometric interpretation of the hyperfine Breit–Rabi
eigenvalues and eigenvectors in alkali atoms after reformulating the standard
solution into a compact form. In this picture, the nuclear magnetic moment has
a polar angle fixed by the total projection quantum number. In contrast, the
electron magnetic moment anti-aligns or aligns with an effective field formed
by both the external magnetic flux density and the nuclear field, which
simultaneously sets the mixing angle of the eigenvectors. This geometric view
offers intuitive insight into the structure of the solutions.
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