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

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

2000-05-17

arxiv.org/abs/quant-ph/0005074v1

Physical Review A 62, 52509/1-21 (2000)

Physics

Quantum Physics

Author Information under this http://www.physik.fu-berlin.de/~kleinert/institution.html Latest update of paper also at this

Scientific paper

10.1103/PhysRevA.62.052509

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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