Semi-classical scattering phase shifts in the presence of metastable states
M V Berry; M V Berry; Department of Physics, University of Bristol
Журнал:
Proceedings of the Physical Society
Дата:
1966-06-01
Аннотация:
In a recent paper, Curtiss and Powers claim to have shown that the phase shift η<sub>1</sub>, for the case when the effective potential presents three turning points, contains in the classical limit a contribution from the classically inaccessible potential well between the inner two turning points, but is independent of the form of the barrier between the outer two turning points. It is shown that what Curtiss and Powers calculated is the semi-classical form of the average of η<sub>1</sub> over a small range of energies. If the correct semi-classical η<sub>1</sub> is used, the contribution of classically inaccessible regions to the averages of observable quantities such as cross sections vanishes in the classical limit, as one would expect.
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