TY - JOUR

T1 - Faddeev differential equations as a spectral problem for a nonsymmetric operator

AU - Yakovlev, S. L.

N1 - Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 1996/6

Y1 - 1996/6

N2 - We consider a nonsymmetric matrix operator whose eigenvalue problem is the system of Faddeev differential equations for a three-particle system. For this operator and its adjoint, the resolvents are represented in terms of Faddeev T-matrix components of the three-particle Schrödinger operator. On the basis of these representations, the invariant spaces of the operators under consideration are investigated and their eigenfunctions are determined. The biorthogonality and completeness of the eigenfunction system are proved.

AB - We consider a nonsymmetric matrix operator whose eigenvalue problem is the system of Faddeev differential equations for a three-particle system. For this operator and its adjoint, the resolvents are represented in terms of Faddeev T-matrix components of the three-particle Schrödinger operator. On the basis of these representations, the invariant spaces of the operators under consideration are investigated and their eigenfunctions are determined. The biorthogonality and completeness of the eigenfunction system are proved.

UR - http://www.scopus.com/inward/record.url?scp=0030343504&partnerID=8YFLogxK

U2 - 10.1007/BF02070389

DO - 10.1007/BF02070389

M3 - Article

AN - SCOPUS:0030343504

VL - 107

SP - 835

EP - 847

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -