Computer Science – Numerical Analysis
Scientific paper
Jul 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980phrva..22..321h&link_type=abstract
Physical Review A - General Physics, 3rd Series, vol. 22, July 1980, p. 321-323.
Computer Science
Numerical Analysis
8
Atomic Energy Levels, Atomic Excitations, Hydrogen Atoms, Magnetic Effects, Cylindrical Waves, Ground State, Numerical Analysis, Spherical Waves, Wave Functions
Scientific paper
An earlier prescription for calculating states of hydrogen in arbitrary magnetic fields is extended to states with longitudinal excitation; results are presented for the ground state for field values up to 10 to the 11th G. An attempt is made to discern how well a wave function which incorporated both the spherical symmetry characteristic of the B = 0 problem and the cylindrical symmetry appropriate to intense fields, fares numerically in describing the longitudinal excitations. Using this mixed form, all calculations can be carried out analytically in closed form; the particular strength of the method over others is that it gives better numerical results at large field strengths. The procedure is recommended for calculating excited (approximately 10 to the 12th G) field strengths.
Hylton D. J.
Rau A. R. P.
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