1. Quantum N-body problem: Matrix structures and equations.
- Author
-
Yakovlev, S.
- Subjects
- *
MATHEMATICAL physics , *QUANTUM theory , *FADDEEVA function , *EIGENFUNCTIONS , *MATRICES (Mathematics) , *RESOLVENTS (Mathematics) - Abstract
We consider matrix structures in the quantum N-body problem that generalize the Faddeev components for resolvents, T-matrices, and eigenfunctions of the continuous spectrum. We write matrix equations for the introduced components of T-matrices and resolvents and use these equations to obtain matrix operators generalizing the matrix three-particle Faddeev operators to the case of arbitrarily many particles. We determine the eigenfunctions of the continuous spectrum of these matrix operators. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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