Weighing operator perturbation from quasi-critical source system response
| dc.creator | Albarede, Pierre | |
| dc.date | 2000-07-19 | |
| dc.date | 2001-05-15 | |
| dc.date.accessioned | 2026-07-07T06:29:37Z | |
| dc.date.available | 2026-07-07T06:29:37Z | |
| dc.description | In Hilbert space, a linear source-to-flux problem in the critical (zero eigenvalue) limit is ill-posed, but regularized by a constraint on a linear functional, fulfilled by tuning some control variable. For any exciting perturbation, I obtain, by spectral decomposition and perturbation theory, the regularized flux and the regularizing control variable non-linear responses. May the exciting perturbation be obtained, inversely, from observable responses? Yes, in some cases, from the existence of a weight scale, a perturbation series, determined by recursion relations, involving well-posed source problems, and the possibility of obtaining this weight scale from observables of both the unconstrained and constrained systems. | |
| dc.description | 29 page LaTeX article see also http://pierre.albarede.free.fr/ | |
| dc.identifier | https://arxiv.org/abs/math-ph/0007026 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0007026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98096 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | 47A52, 47A55, 93B07, 93B30 | |
| dc.title | Weighing operator perturbation from quasi-critical source system response | |
| dc.type | text |