Quadratic Zeeman effect in hydrogen Rydberg states: Rigorous error estimates for energy eigenvalues, energy eigenfunctions, and oscillator strengths
- Dipartimento di Fisica,Universita di Catania, Corso Italia 57, I-95129 Catania (Italy) Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Corso Italia 57, I-95129 Catania (Italy)
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 [minus]190 to [minus]24 cm[sup [minus]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 [similar to][minus]24 cm[sup [minus]1], we obtain results of good accuracy only for eigenvalues ranging up to [similar to][minus]12 cm[sup [minus]1].
- OSTI ID:
- 7203705
- Journal Information:
- Physical Review A; (United States), Vol. 50:4; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
HYDROGEN
RYDBERG STATES
ZEEMAN EFFECT
ACCURACY
ATOMS
EIGENSTATES
EIGENVALUES
IONIZATION
MAGNETIC FIELDS
OSCILLATOR STRENGTHS
THRESHOLD ENERGY
VARIATIONAL METHODS
CALCULATION METHODS
ELEMENTS
ENERGY
ENERGY LEVELS
EXCITED STATES
NONMETALS
664100* - Theory of Electronic Structure of Atoms & Molecules- (1992-)