Classical and quantum scattering cross-sections on the impenetrable sphere

D. Sen, A. N. Basu, S. Sengupta

F. Coester

G N Afanasiev, V.M. Shilov

It is shown that different forms of quantum impenetrability lead to different physical consequences. This should be kept in mind in analysing experimental data. The relativistic impenetrability conditions are considered and the corresponding relativistic Aharonov-Bohm cross-sections are obtained. The possibility of the AB effect occurring in simply-connected space regions is discussed.

M. Jursa, Peter Kasperkovitz

Scattering of Gaussian wavepackets by impenetrable solenoids is studied using both analytical and numerical methods. A formula for the asymptotic (t to infinity ) angular distribution of the scattered packet is derived and used to discuss the physical meaning of cross sections, the optical theorem, and the classical limit. Angular distributions obtained from this formula are found to be in good agreement with angular distributions calculated from numerical solutions of the Schrodinger equation.

Brian J. McParland