Asymptotic completeness for N-body short-range quantum systems: A new proof
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Publication:803819
DOI10.1007/BF02278000zbMath0726.35096OpenAlexW2073624713MaRDI QIDQ803819
Publication date: 1990
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02278000
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
- Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials
- A new proof of the Mourre estimate
- Scattering theory for many-body quantum mechanical systems -rigorous results
- The N-particle scattering problem: asymptotic completeness for short- range systems
- A new proof of the propagation theorem for N-body quantum systems
- Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV
- Spectral analysis of N-body Schrödinger operators
- Absence of singular continuous spectrum for certain self-adjoint operators
- Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
- Asymptotic completeness for quantum-mechanical potential scattering. II: singular and long-range potentials
- Wave operators in multichannel scattering
- A time-dependent approach to the completeness of multiparticle quantum systems
- On the Space-Time Behavior of Schrödinger Wavefunctions