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ABSTRACT

Canuto and Kelly 1972

Canuto, V., and D.C. Kelly, 1972: Hydrogen atom in intense magnetic field. Astrophys. Space Sci., 17, 277-291, doi:10.1007/BF00642901.

The structure of a hydrogen atom situated in an intense magnetic field is investigated. Three approaches are employed. An elementary Bohr picture establishes a crucial magnetic field strength, Ha ≃ 5×109 G. Fields in excess of Ha are intense in that they are able to modify the charac- teristic atomic scales of length and binding energy. A second approach solves the Schrödinger equation by a combination of variational methods and perturbation theory. It yields analytic expressions for the wave functions and energy eigenvalues. A third approach determines the energy eigenvalues by reducing the Schrödinger equation to a one-dimensional wave equation, which is then solved numerically. Energy eigenvalues are tabulated for field strengths of 2×1010 G and 2×1012 G. It is found that at 2×1012 G the lowest energy eigenvalue is changed from -13.6 eV to about -180 eV in agreement with previous variational computations.

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