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High-Energy Behavior of Total Scattering Cross Sections for 3-body Quantum Systems
Author(s) -
Hiroshi Ito
Publication year - 1993
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195166575
Subject(s) - disjoint sets , mathematics , partition (number theory) , decomposition , cluster (spacecraft) , scattering , kinetic energy , center (category theory) , quantum , operator (biology) , combinatorics , quantum mechanics , chemistry , physics , crystallography , organic chemistry , computer science , programming language , biochemistry , repressor , transcription factor , gene
Let H be the Schrodinger operator obtained by separating the kinetic energy of the center of mass from H. H acts in M :~L(R), and its explicit form depends on the coordinates of R. We adopt the Jacobi coordinates. A partition of the set {1, 2, 3} into nonempty disjoint subsets is called a cluster decomposition. We call {(1), (2), (3)} (resp. {(i, /), k} , i

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