Variational Approach to Hydrogen Atom in Uniform Magnetic Field of Arbitrary Strength
M. Bachmann, H. Kleinert, A. Pelster
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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