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Systematization of Resonant State Flows for a Cylindrical Quantum Potential

Speaker: Gregory Morozov (University of the West of Scotland)
Date: Wednesday 31 October 2018
Time: 15:00
Venue: Queens Buildings N/3.28

The behaviour of resonances of a cylindrical potential well is investigated as the potential depth is varied. It is shown that those resonances form different types of continuous flows in the complex plane. Some of these flows are spirals which tend to go asymptotically, as the potential depth is increased, to the complex zeros of the corresponding Hankel functions. Other flows tend to align along the positive imaginary semi-axis of the complex plane and, thus, generate physical bound states of the given potential. The analysis of the above flows provides a deep insight into the complicated behaviour of the resonances, anti-resonances, bound and anti-bound states of two-dimensional quantum potentials.