Claude Semay, Fabien Buisseret
The dominantly orbital state method allows a semiclassical description of quantum systems and is expected to be valid for large values of the orbital angular momentum and small radial excitations. At the origin, it was developed for two-body relativistic systems. Here, the method is extended to treat two- and three-body Hamiltonians in $D\ge 2$ dimensions with arbitrary kinetic energy and potential. It is shown that this method can produce quite accurate results, in some cases for the whole spectrum.
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http://arxiv.org/abs/1301.1850
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