Transition probabilities for the hydrogen atom in intense magnetic fields using the adiabatic approximation: Comparison with variational results

Journal Article · Mon Sep 15 04:00:00 EDT 1980 · Astrophys. J.; (United States)

DOI:https://doi.org/10.1086/158312· OSTI ID:6635655

Wunner, G

Using accurate numerical wave functions within the adiabatic approximation, we calculate transition rates for the hydrogen atom in strong magnetic fields (of order 10/sup 10/--10/sup 12/ gauss, which are assumed for neutron stars), and compare with variational results of Wadehra. An error inherent in his work is pointed out. It is found that using numerical wave functions within the adiabatic approximation leads to values for the transition rates which are larger than the ones of the variational calculation by about 15%.

• Research Organization: Institut fuer Theoretische Physik, Universitaet Erlangen-Nuernberg, West Germany
• OSTI ID: 6635655
• Journal Information: Astrophys. J.; (United States), Journal Name: Astrophys. J.; (United States) Vol. 242:3; ISSN ASJOA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
ADIABATIC APPROXIMATION
ATOMIC MODELS
DIFFERENTIAL EQUATIONS
ELEMENTS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EQUATIONS
FUNCTIONS
HYDROGEN
MAGNETIC FIELDS
MATHEMATICAL MODELS
MECHANICS
NONMETALS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
VARIATIONAL METHODS
WAVE EQUATIONS
WAVE FUNCTIONS