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

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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References in corpus (3)

• Ground states of the atoms H, He,...., Ne and their singly positive ions in strong magnetic fields: The high field regime
• Variational Perturbation Theory for Density Matrices
• Generating Functionals for Harmonic Expectation Values of Paths with Fixed End Points. Feynman Diagrams for Nonpolynomial Interactions

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