Geodesic
Quantum $N$-body problem: Matrix structures and equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 1, pp. 218-240

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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.
Keywords: quantum $N$-body problem, Faddeev integral equation, integral equation for wave function components, differential equation for wave function components, resolvent
Mots-clés : $T$-matrix. 
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     author = {S. L. Yakovlev},
     title = {Quantum $N$-body problem: {Matrix} structures and equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {218--240},
     publisher = {mathdoc},
     volume = {181},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_181_1_a11/}
}
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S. L. Yakovlev. Quantum $N$-body problem: Matrix structures and equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 1, pp. 218-240. http://geodesic.mathdoc.fr/item/TMF_2014_181_1_a11/