Time delay and resonances in potential scattering

Amrein, W. O. ; Sinha, K. B. (2006) Time delay and resonances in potential scattering Journal of Physics A: Mathematical and General, 39 (29). 9231- 9231. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/39/29/016?v_sh...

Related URL: http://dx.doi.org/10.1088/0305-4470/39/29/016

Abstract

We present stationary expressions for the on-shell time delay operator and for its trace in quantum-mechanical potential scattering. The trace of this operator is shown to represent the time delay for a monoenergetic and well-collimated beam of initial states. For exponentially decaying potentials the total scattering cross section and the trace of the on-shell time delay operator have analytic extensions to complex energies, with poles at most at the usual resonance poles (poles of the analytically continued S-matrix) in the lower half plane and at their mirror images with respect to the real axis. At real energies close to such a pole both the scattering cross section and the time delay are approximately of Breit-Wigner type, the sign of the time delay being related to that of the virial. These results corroborate the idea that a resonance should show up through a peak in the scattering cross section and a large (though positive) time delay.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:61293
Deposited On:15 Sep 2011 03:51
Last Modified:15 Sep 2011 03:51

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