Abstract
An attempt has been made to derive an expression for the energy for the hydrogen atom in a uniform magnetic field having a dependence on only one variable as conjectured by Feneuille (1982). The Schrodinger equation is transformed by a complex Kustaanheimo-Stiefel transformation to that for a four-dimensional oscillator with a constraint. The equivalent oscillator problem is solved approximately to obtain an expression for the quantity n2E (n being the principal quantum number, E the energy) as a function of a single variable beta c=n3wc (wc being the cyclotron frequency). Agreement with experimental observations is discussed.
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