Variational approach to a hydrogen atom in a uniform magnetic held of arbitrary strength - art. no. 052509

Extending the Feynman-Kleinert variational approach, we calculate the tempe rature-dependent effective classical potential governing the quantum statis tics of a hydrogen atom in a uniform magnetic field at all temperatures. Th e zero-temperature limit yields the binding energy of the electron, which i s quite accurate for all magnetic-field strengths, and exhibits, in particu lar, correct logarithmic growth at large fields.