This article is cited in 22 papers

Differential Faddeev equations as a spectral problem for nonsymmetric operator

S. L. Yakovlev

Saint-Petersburg State University

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

Received: 19.06.1995

DOI: 10.4213/tmf1172

 English version: Theoretical and Mathematical Physics, 1996, 107:3, 835–847

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