Scattering Spaces and a Decomposition of Continuous Spectral Subspace
| dc.creator | Kitada, Hitoshi | |
| dc.date | 1999-12-31 | |
| dc.date.accessioned | 2026-07-07T05:32:35Z | |
| dc.date.available | 2026-07-07T05:32:35Z | |
| dc.description | We introduce the notion of scattering space $S_b^r$ for $N$-body quantum mechanical systems, where $b$ is a cluster decomposition with $2\le |b|\le N$ and $r$ is a real number $0\le r\le 1$. Utilizing these spaces, we give a decomposition of continuous spectral subspace by $S_b^1$ for $N$-body quantum systems with long-range pair potentials $V_α^L(x_α)=O(|x_\al|^{-\ep})$. This is extended to a decomposition by $S_b^r$ with $0\le r\le 1$ for some long-range case. We also prove a characterization of ranges of wave operators by $S_b^0$. | |
| dc.description | 36 pages, AmSTeX | |
| dc.identifier | https://arxiv.org/abs/math/9912244 | |
| dc.identifier | http://arxiv.org/abs/math/9912244 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79705 | |
| dc.subject | Spectral Theory | |
| dc.title | Scattering Spaces and a Decomposition of Continuous Spectral Subspace | |
| dc.type | text |