Dynamical symmetry of the quadratic Zeeman effect in hydrogen: Semiclassical quantization

Journal Article · Fri Feb 01 04:00:00 EST 1991 · Physical Review, A; (USA)

DOI:https://doi.org/10.1103/PhysRevA.43.1666· OSTI ID:5622648

Farrelly, D; Krantzman, K ^[1]

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1. Department of Chemistry and Biochemistry, University of California, Los Angeles, California 90024 (USA)

By exploiting the approximate SU(2) symmetry of the {ital 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.

• OSTI ID: 5622648
• Journal Information: Physical Review, A; (USA), Journal Name: Physical Review, A; (USA) Vol. 43:3; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
ELEMENTS
HAMILTONIANS
HYDROGEN
LIE GROUPS
MATHEMATICAL OPERATORS
NONMETALS
QUANTUM OPERATORS
SEMICLASSICAL APPROXIMATION
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
ZEEMAN EFFECT