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- W2024143168 abstract "A variational method, based on some results due to T. Kato [Proc. Phys. Soc. Jpn. 4, 334 (1949)], and previously discussed is here applied to the hydrogen atom in uniform magnetic fields of tesla in order to calculate, with a rigorous error estimate, energy eigenvalues, energy eigenfunctions, and oscillator strengths relative to Rydberg states up to just below the field-free ionization threshold. Making use of a basis (parabolic Sturmian basis) with a size varying from 990 up to 5050, we obtain, over the energy range of -190 to -24 ${mathrm{cm}}^{mathrm{ensuremath{-}}1}$, all of the eigenvalues and a good part of the oscillator strengths with a remarkable accuracy. This, however, decreases with increasing excitation energy and, thus, above ensuremath{sim}-24 ${mathrm{cm}}^{mathrm{ensuremath{-}}1}$, we obtain results of good accuracy only for eigenvalues ranging up to ensuremath{sim}-12 ${mathrm{cm}}^{mathrm{ensuremath{-}}1}$." @default.
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- W2024143168 date "1994-10-01" @default.
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- W2024143168 title "Quadratic Zeeman effect in hydrogen Rydberg states: Rigorous error estimates for energy eigenvalues, energy eigenfunctions, and oscillator strengths" @default.
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- W2024143168 doi "https://doi.org/10.1103/physreva.50.3051" @default.
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