Article (Scientific journals)
The translation kernel in the n-dimensional scattering problem
Coz, Marcel; Rochus, Pierre
1977In Journal of Mathematical Physics, 18, p. 2223-2231
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Abstract :
[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.
Disciplines :
Physics
Author, co-author :
Coz, Marcel
Rochus, Pierre  ;  Université de Liège - ULiège > CSL (Centre Spatial de Liège) - Instrumentation et expérimentation spatiales
Language :
English
Title :
The translation kernel in the n-dimensional scattering problem
Publication date :
01 November 1977
Journal title :
Journal of Mathematical Physics
ISSN :
0022-2488
eISSN :
1089-7658
Publisher :
American Institute of Physics, Melville, United States - New York
Volume :
18
Pages :
2223-2231
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 07 July 2009

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