Extended Hilbert space approach to few-body problems

DOI10.1063/1.528715zbMath0704.47047OpenAlexW1992571424MaRDI QIDQ3483897

S. P. Merkur'ev, B. S. Pavlov, Yu. A. Kuperin, Alexander K. Motovilov, Konstantin A. Makarov

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528715

zbMATH Keywords

energy-dependent potentialsfreezing out the internal degrees of freedom in the external channelsmodified Faddeev equationquantum scattering theory for a system of few particles, which have an internal structure

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (n)-body potential quantum scattering theory (81U10) Scattering theory of linear operators (47A40)

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Algebraic version of extension theory for a quantum system with internal structure, Alternative proof of the a priori \(\tan \theta\) theorem, Elimination of the energy from interactions that depend on it as a resolvent, Two-body resonance scattering and annihilation of composite charged particles, On quantum star graphs with eigenparameter dependent vertex conditions, Removal of the resolvent-like energy dependence from interactions and invariant subspaces of a total Hamiltonian, On point interactions realised as Ter-Martirosyan-Skornyakov Hamiltonians, Models of zero-range interaction for the bosonic trimer at unitarity, On Kreĭn's formula, Extension theory approach to scattering and annihilation in the \(\overline{p}d\) system, Representations for the three-body \(T\)-matrix on nonphysical sheets. I, Operator Interpretation of Resonances Arising in Spectral Problems for 2 × 2 Operator Matrices

Cites Work

• Faddeev equations for simple-layer potential density
• On the three-body Coulomb scattering problem
• A unified theory of nuclear reactions. II