Bender-Wu branch points in the cubic oscillator
- 21 August 1995
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 28 (16), 4589-4598
- https://doi.org/10.1088/0305-4470/28/16/016
Abstract
The analytic continuation of the resonances of the cubic anharmonic oscillator to complex values of the coupling constant is studied with semiclassical and numerical methods. Bender-Wu branch points, at which level crossing occurs, are calculated and labelled by a process of analytic continuation. The different resonances are the values that a single analytic function takes on different sheets of a Riemann surface whose topology is described.Keywords
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