National Aeronautics and Space Administration

Publication Abstracts

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, H_a ≃ 5×10⁹ G. Fields in excess of H_a 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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Export citation: [ BibTeX ] [ RIS ]

@article{ca04110l,
  author={Canuto, V. and Kelly, D. C.},
  title={Hydrogen atom in intense magnetic field},
  year={1972},
  journal={Astrophysics and Space Science},
  volume={17},
  pages={277--291},
  doi={10.1007/BF00642901},
}

TY  - JOUR
ID  - ca04110l
AU  - Canuto, V.
AU  - Kelly, D. C.
PY  - 1972
TI  - Hydrogen atom in intense magnetic field
JA  - Astrophys. Space Sci.
JO  - Astrophysics and Space Science
VL  - 17
SP  - 277
EP  - 291
DO  - 10.1007/BF00642901
ER  -

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