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,Vertiefungsübungen zu OP-Schaltungen, relative equilibria become critical points in the phase fl ow. It is shown that the fl ow in the vicinity of the critical point is stable. The Lie–Deprit transformation is then used to transform the system into normal form, following which the semiclassical quantization is straightforward.

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Semiclassical quantization of atomic systems through their normal form: the hydrogen atom, relative equilibria become critical points in the phase fl ow. It is shown that the fl ow in the vicinity of the critical point is stable. The Lie–Deprit transformation is then used to transform the system into normal form, following which the semiclassical quantization is straightforward.