Alternative derivation of a Regge-pole condition of the Bohr-Sommerfeld type
- 1 December 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (17) , 3445-3453
- https://doi.org/10.1088/0305-4470/18/17/027
Abstract
It is shown that, when only two turning points are important, the generalised Bohr-Sommerfeld condition for Regge-pole positions can be derived from the behaviour of the semiclassical wavefunctions in a region far from the turning points. The analysis proves that the poles can be accurately determined from the Bohr-Sommerfeld formula also when the turning points lie close together. The implications of the present analysis as to certain asymptotic properties of the semiclassical pole positions and the corresponding pole residues are discussed.Keywords
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