Centrifugal terms in the WKB approximation and semiclassical quantization of hydrogen
نویسندگان
چکیده
A systematic semiclassical expansion of the hydrogen problem about the classical Kepler problem is shown to yield remarkably accurate results. Ad hoc changes of the centrifugal term, such as the standard Langer modification where the factor l(l + 1) is replaced by (l + 1/2), are avoided. The semiclassical energy levels are shown to be exact to first order in h̄ with all higher order contributions vanishing. The wave functions and dipole matrix elements are also discussed.
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