Faddeev differential equations as a spectral problem for a nonsymmetric operator

DOI10.1007/BF02070389zbMath0930.47046OpenAlexW2067471868MaRDI QIDQ1292057

S. L. Yakovlev

Publication date: 9 February 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02070389

zbMATH Keywords

eigenvalue problemresolventsadjointinvariant spacesthree-particle Schrödinger operatorbiorthogonality and completeness of the eigenfunction systemFaddeev \(T\)-matrix componentsnonsymmetric matrix operatorsystem of Faddeev differential equations for a three-particle system

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Eigenvalue problems for linear operators (47A75) (n)-body potential quantum scattering theory (81U10)

Related Items (5)

Why there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrum ⋮ Solving the Faddeev-Merkuriev Equations in Total Orbital Momentum Representation via Spline Collocation and Tensor Product Preconditioning ⋮ Quantum \(N\)-body problem: matrix structures and equations ⋮ Perturbation theory in the scattering problem for a three-particle system ⋮ The three-body Coulomb scattering problem in a discrete Hilbert-space basis representation

Cites Work

• On the three-body Coulomb scattering problem
• On a Factor Automorphism of a Normal Dynamical System
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