Dynamical symmetry of the quadratic Zeeman effect in hydrogen: Semiclassical quantization
- 1 February 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 43 (3) , 1666-1668
- https://doi.org/10.1103/physreva.43.1666
Abstract
By exploiting the approximate SU(2) symmetry of the m=0 quadratic Zeeman Hamiltonian within multiplets of fixed principal quantum number, the dynamics is mapped onto a twofold hindered rotor. This allows a singularity-free uniform semiclassical quantization of Solov’ev’s approximate integral of the motion to be performed. Excellent agreement with quantum results is obtained.Keywords
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