Loading...
Please wait, while we are loading the content...
Similar Documents
Scattering and Wave Operators for One-dimensional Schr¨odinger Operators with Slowly Decaying Nonsmooth Potentials
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kiselev, A. |
| Copyright Year | 2008 |
| Abstract | Let us discuss the case where the operator is defined on a half-axis, with some selfadjoint boundary condition at zero. We are interested in potentials decaying at infinity, for which we may expect that asymptotically as time tends to infinity, motion of the associated perturbed quantum system resembles the free evolution. What is the critical rate of decay of the potential for which the dynamics remains close to free for large times? The mathematical framework for studying these questions is provided by scattering theory. Recall that the wave operators associated with HV and H0 are defined by Ω±f = lim t→∓∞ eV e0f, (1.2) |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0110140v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Axis vertebra Expanded memory Expect Mathematics Optic axis of a crystal Quantum system Scattering theory |
| Content Type | Text |
| Resource Type | Article |
