https://doi.org/10.1007/s100530170161
The positronium negative ion: Classical properties and semiclassical quantization
Max-Planck-Institute for
the Physics of Complex Systems, Nöthnitzer
Str. 38, 01187 Dresden, Germany
Corresponding author: a nenad@mpipks-dresden.mpg.de
Received:
19
January
2001
Published online: 15 August 2001
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.
PACS: 36.10.-k – Exotic atoms and molecules (containing mesons, muons, and other unusual particles) / 31.50.+w – Excited states / 03.65.Sq – Semiclassical theories and applications
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
