Asymptotic completeness forN-body short-range quantum systems: A new proof
- 1 August 1990
- journal article
- Published by Springer Science and Business Media LLC in Communications in Mathematical Physics
- Vol. 132 (1), 73-101
- https://doi.org/10.1007/bf02278000
Abstract
We give an alternative geometrical proof of asymptotic completeness for an arbitrary number of quantum particles interacting through shortrange pair potentials. It relies on an estimate showing that the intercluster motion concentrates asymptotically on classical trajectories.Keywords
This publication has 19 references indexed in Scilit:
- Long-range many-body scatteringInventiones Mathematicae, 1990
- A new proof of the propagation theorem forN-body quantum systemsCommunications in Mathematical Physics, 1989
- Introduction to asymptotic observables for multiparticle quantum scatteringPublished by Springer Science and Business Media LLC ,1986
- A new proof of the Mourre estimateDuke Mathematical Journal, 1982
- Absence of singular continuous spectrum for certain self-adjoint operatorsCommunications in Mathematical Physics, 1981
- Pointwise bounds on eigenfunctions and wave packets inN-body quantum systems IVCommunications in Mathematical Physics, 1978
- Invariant domains for the time-dependent Schrödinger equationJournal of Differential Equations, 1978
- Asymptotic completeness for quantum mechanical potential scatteringCommunications in Mathematical Physics, 1978
- Description of the spectrum of the energy operator of quantum-mechanical systems that is invariant with respect to permutations of identical particlesTheoretical and Mathematical Physics, 1970
- On the Space-Time Behavior of Schrödinger WavefunctionsJournal of Mathematical Physics, 1966