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The wave function for an electron in combined Coulomb and uniform magnetic fields is expanded in oblate-spheroidal angle functions. The resulting Schroedinger equation for the radial function is solved for the energy levels by means of two different adiabatic approximations, which yield rigorous lower and upper bounds on the lowest exact energy levels for each symmetry state of the system. Results are presented for the level and binding energies of hydrogenic 1s, 2s, and 2p levels for magnetic fields in the range 10/sup 7/ < or = B < or approx. = 10/sup 11/ G and compared with results of other authors. These results indicate that the present adiabatic approximation methods employing spherical symmetry may be expected to give reliable results for energies of low-lying hydrogenic levels for magnetic fields in the range 0 < or = B < or approx. = 10/sup 9/ G.

physical review. a, general physics

Atomic hydrogen in a uniform magnetic field: Low-lying energy levels for fields above<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mn>9</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>G

Atomic hydrogen in a uniform magnetic field: Low-lying energy levels for fields above109G