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Variational Approach to Hydrogen Atom in Uniform Magnetic Field of Arbitrary Strength

M. Bachmann·H. Kleinert·A. Pelster
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Abstract

Extending the Feynman-Kleinert variational approach, we calculate the temperature-dependent effective classical potential governing the quantum statistics of a hydrogen atom in a uniform magnetic at all temperatures. The zero-temperature limit yields the binding energy of the electron which is quite accurate for all magnetic field strengths and exhibits, in particular, the correct logarithmic growth at large fields.

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M. Bachmann, H. Kleinert, A. Pelster. 2000-05-17. Variational Approach to Hydrogen Atom in Uniform Magnetic Field of Arbitrary Strength. https://doi.org/10.1103/physreva.62.052509

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