A remark on the Mourre theory for two body Schrödinger operators

DOI10.4171/JST/80zbMath1308.81165arXiv1305.4716OpenAlexW2963174580MaRDI QIDQ2256856

Shu Nakamura

Publication date: 23 February 2015

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4716

zbMATH Keywords

Schrödinger operatorsscattering theoryMourre estimate

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Related Items (5)

Bands of pure absolutely continuous spectrum for lattice Schrödinger operators with a more general long range condition ⋮ Limiting absorption principle for Schrödinger operators with oscillating potentials ⋮ Resonances and viscosity limit for the Wigner-von Neumann-type Hamiltonian ⋮ Propagation estimates for one commutator regularity ⋮ On the limiting absorption principle for a new class of Schrödinger Hamiltonians

Cites Work

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• Inverse problems, trace formulae for discrete Schrödinger operators
• A proof of the abstract limiting absorption principle by energy estimates
• Absence of singular continuous spectrum for certain self-adjoint operators
• Principle of limiting absorbtion for N-body Schrödinger operators. A remark on the commutator method
• Weighted Mourre's commutator theory, application to Schroedinger operators with oscillating potential
• ON THE SPECTRAL PROPERTIES OF DISCRETE SCHRÖDINGER OPERATORS
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians

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