Reference : The translation kernel in the n-dimensional scattering problem
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
The translation kernel in the n-dimensional scattering problem
Coz, Marcel [> > > >]
Rochus, Pierre mailto [Université de Liège - ULiège > > CSL (Centre Spatial de Liège) - Instrumentation et expérimentation spatiales >]
Journal of Mathematical Physics
American Institute of Physics
Yes (verified by ORBi)
[en] Radial wavefunctions are defined for the n-dimensional scattering problem (n>~1) with spherical symmetry by conditions of regularity at the origin or by conditions of behavior at infinity. The existence of translation kernels can therefore be discussed in both instances. The problem of representing regular solutions appears to be essentially different from that of representing irregular solutions. The essential difference originates from the type of domain used in the representation: It is bounded in the first case and unbounded in the second. If one can still compare the ranges of validity of the two types of representation when one is dealing with a scalar situation, upon proceeding to a matrix situation, a comparison is no longer possible.

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