Theoretical and Mathematical Physics

, Volume 107, Issue 3, pp 835–847

Faddeev differential equations as a spectral problem for a nonsymmetric operator

  • S. L. Yakovlev


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.


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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • S. L. Yakovlev
    • 1
  1. 1.St. Petersburg State UniversityUSSR

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