A proof of the abstract limiting absorption principle by energy estimates
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Publication:927632
DOI10.1016/j.jfa.2008.02.015zbMath1141.47017OpenAlexW2043825646MaRDI QIDQ927632
Publication date: 9 June 2008
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2008.02.015
Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Opérateurs conjugués et propriétés de propagation
- Spectral analysis of N-body Schrödinger operators
- Absence of singular continuous spectrum for certain self-adjoint operators
- Propagation estimates for \(N\)-body Schrödinger operators
- Asymptotics of the ground state energies of large Coulomb systems
- From classical to semiclassical non-trapping behaviour
- Principle of limiting absorbtion for N-body Schrödinger operators. A remark on the commutator method
- Minimal escape velocities
- The Functional Calculus
- On the L2 continuity of pseudo‐differential operators
- \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
