Abstract:
Properties of collinear and planar periodic orbits for the positronium negative ion are examined with respect to the possibilities for semiclassical quantization. In contrast to other two-electron atomic systems as helium and H- the relevant orbits for quantization are fully stable and permit a full torus quantization. However, for lower excitations the area of stability in phase-space is too small for a reliable torus quantization. Instead, a quasi-separability of the three-body system is used to apply effective one-dimensional (WKB) quantization.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 19 January 2001
Rights and permissions
About this article
Cite this article
Simonović, N., Rost, J. The positronium negative ion: Classical properties aaand semiclassical quantization. Eur. Phys. J. D 15, 155–164 (2001). https://doi.org/10.1007/s100530170161
Issue Date:
DOI: https://doi.org/10.1007/s100530170161