Mathematics
Scientific paper
Oct 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phrva..28.2209g&link_type=abstract
Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 28, Oct. 1983, p. 2209-2216. NSF-supported research.
Mathematics
81
Atomic Excitations, Hydrogen Atoms, Ionization Cross Sections, Magnetic Fields, Photoionization, Eigenvalues, Electron States, Matrices (Mathematics), Quantum Theory, Stellar Magnetic Fields, Wave Functions
Scientific paper
The photoionization of hydrogen atoms in a strong magnetic field is formulated as a multichannel problem by representing the asymptotic electron-wave function in cylindrical coordinates. Departures from cylindrical symmetry close to the nucleus are incorporated by an R-matrix treatment at short range, which then merges with standard quantum-defect procedures. The R-matrix calculation utilizes the eigenchannel approach, recast in noniterative form. At the field strength treated here, B = 4.7 x 10 to the 9th G, the photoionization cross section displays narrow 'autoionizing' resonances near the excited Landau thresholds.
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