J. Phys. I France
Volume 4, Numéro 6, June 1994
Page(s) 921 - 938
DOI: 10.1051/jp1:1994236
J. Phys. I France 4 (1994) 921-938

A note on quasielastic neutron scattering

G. Coddens

Laboratoire Léon Brillouin, C.E.A./C.N.R.S., F-91191 Gif-sur-Yvette Cedex, France Neutron Scattering Project, LI.K.W., University of Antwerp, B-2610-Wilrijk, Belgium

(Received 7 October 1993, revised 11 February 1994, accepted 24 February 1994)

We present a theorem that in coherent quasielastic neutron scattering on a confined and limited system of identical particles only the configuration-configuration correlations have to be examined without any hindsight on the distribution of the particles inside the configuration. This constitutes a strong simplification with respect to the problem where all particle-particle correlations would have to be accounted for. The method is illustrated on an example of correlated hopping on a piece of an octagonal quasiperiodic tiling. With some modifications the method can also be used for incoherent scattering. A further simplification of the calculations both for coherent and incoherent scattering functions is obtained by introducing a new matrix notation that allows fully for the symmetry properties of the problem.

© Les Editions de Physique 1994