Lower Limit for the Energy Derivative of the Scattering Phase Shift

1955/04/01 by Eugene P. Wigner, E. P. Wigner · 22 citations
Physics and Astronomy · Materials Science · Earth and Planetary Sciences · #Crystallography and Radiation Phenomena #X-ray Diffraction in Crystallography #High-pressure geophysics and materials

paper · doi:10.1103/physrev.98.145

Abstract

It is shown that the derivative of the scattering phase shift with respect to energy, \fracd\ensuremathηdE, must exceed a certain limit if the interaction of scattered particle and scatterer vanishes beyond a certain distance. This limitation of \fracd\ensuremathηdE is, fundamentally, a consequence of the principle of causality; it is derived, however, from a property of the derivative matrix R.

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