Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1972
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972ap%26ss..17..277c&link_type=abstract
Astrophysics and Space Science, Volume 17, Issue 2, pp.277-291
Astronomy and Astrophysics
Astrophysics
52
Scientific paper
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,H a ≃5×109G. Fields in excess ofH a are intense in that they are able to modify the characteristic 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 2×1010G 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.
Canuto Vittorio
Kelly Clay D.
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