الفهرس 
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Abstract
In this thesis , we strengthen many results in some previous papers[12,25,32,35,39,47,] and by using the concepts of a-sets , propen , B-open, a-closed and B-closed set we introduce and study the concepts of a-continuity, a-open , a-closed , preclosed , B-closed mappings , a-topological invariants , B-closed graphs , p-regular spaces and a-compact spaces and give new characterizations of some types of the above concepts. Also ,we investegste the concept of גּ*µ*-continuity (resp. גּ*µ*-closed graphs ) which generalizes the concepts of גּµ-continuity and supracontinuity (resp. גּµ-closed , a-closed , and preclosed graphs).
this work is devated to investigate the mathematical problems of the scattering theory for n-particles of schrodinger operators