TY - JOUR

T1 - Quantum N-Body Problem: Matrix Structures and Equations

AU - Yakovlev, S.L.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - quantum N-body problem

KW - Faddeev integral equation

KW - integral equation for wave function components

KW - differential equation for wave function components

KW - resolvent

KW - T -matrix

U2 - 10.1007/s11232-014-0215-5

DO - 10.1007/s11232-014-0215-5

M3 - Article

VL - 181

SP - 1317

EP - 1338

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -