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Hydrogen‐Like Systems in Arbitrary Magnetic Fields A Variational Approch
Author(s) -
Aldrich C.,
Greene R. L.
Publication year - 1979
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220930140
Subject(s) - excited state , basis (linear algebra) , gaussian , hydrogen atom , physics , limit (mathematics) , magnetic field , dipole , atomic physics , basis function , matrix (chemical analysis) , quantum mechanics , atom (system on chip) , magnetic dipole , statistical physics , chemistry , mathematics , mathematical analysis , geometry , chromatography , computer science , group (periodic table) , embedded system
Variational calculations using a cylindrica Gaussian basis are applied to the problem of hydrogenlike systems in an arbitary magnetic feld. This choic of basis functions allows us to calculate energies and dipole matrix elements for levels corresponding to the ls through 4f levels of the free hydrogen atom. Comparison of the results with earlier calculations in both the high and low field limit show excellent agreement. In the intermediate field regime two previous calculations show marked disargreement in one of the excited state energies. Our results are in agreement with the results of Lee et al.