Quantum N-Body Problem: Matrix Structures and Equations

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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.
Original languageEnglish
Pages (from-to)1317-1338
JournalTheoretical and Mathematical Physics
Volume181
Issue number1
DOIs
StatePublished - 2014

Keywords

  • quantum N-body problem
  • Faddeev integral equation
  • integral equation for wave function components
  • differential equation for wave function components
  • resolvent
  • T -matrix

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