Dynamical symmetry in the quadratic Zeeman effect

Details Dynamical symmetry in the quadratic Zeeman effect Dynamical symmetry in the quadratic Zeeman effect

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981natur.292..437c&link_type=abstract

Nature, vol. 292, July 30-Aug. 5, 1981, p. 437-439.

Physics

Atomic Physics

25

Atomic Physics, Hydrogen Atoms, Zeeman Effect, Circular Polarization, Ground State, Magnetic Fields, Symmetry, Wave Functions

Scientific paper

Zimmerman, Kash, and Kleppner (1980) postulated a hidden symmetry in atomic hydrogen in a uniform magnetic field. The present paper demonstrates that the quasi-constant of the motion in the system can be simply related to the asymptotic form of the quantum mechanical wavefunction. Accurate wavefunctions for the states of the series are computed, and evaluated by summing the weighted individual values of the Sturmian and spherical harmonic functions. The magnitude of the oscillator strength associated with a given state is found to be directly correlated with the localization of the wavefunction, and wavefunctions of states at the top and bottom of a cluster are found to be localized in the regions of maximum and minimum potential.

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