Scaled spectroscopy of ? and ? highly excited states of helium

Physics

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Scientific paper

In this paper, we examine the properties of the 0953-4075/31/8/017/img3 and 0953-4075/31/8/017/img4 states of helium, combining perimetric coordinates and complex rotation methods. We compute Fourier transforms of quantities of physical interest, among them being the average of the operator 0953-4075/31/8/017/img5, which measures the correlation between the two electrons. Graphs obtained for both 0953-4075/31/8/017/img3 and 0953-4075/31/8/017/img4 states show peaks at action of classical periodic orbits, either `frozen-planet' orbit or asymmetric stretch orbits. This observation legitimizes the semiclassical quantization of helium with those orbits only, not just for S states but also for P states, which is a new result. To emphasize the similarity between the S and P states we show wavefunctions of 0953-4075/31/8/017/img4 states, presenting the same structure as 0953-4075/31/8/017/img3 states, namely the `frozen planet' and asymmetric stretch configurations.

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