Semiclassical self-consistent field perturbation theory for the hydrogen atom in a magnetic field

✍ Scribed by Alexei V. Sergeev; David Z. Goodson

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 242 KB
• Volume: 69
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/(sici)1097-461x(1998)69:2<183::aid-qua6>3.0.co;2-r

✦ Synopsis

A recently developed perturbation theory for solving self-consistent field equations is applied to the hydrogen atom in a strong magnetic field. This system has been extensively studied using other methods and is therefore a good test case for the new method. The perturbation theory yields summable large-order expansions. The accuracy of the self-consistent field approximation varies according to field strength and quantum state but is often higher than the accuracy from adiabatic approximations. A new derivation is presented for the asymptotic adiabatic approximation, the most useful of the adiabatic approaches. This derivation uses semiclassical perturbation theory without invoking an adiabatic hypothesis.