| dc.creator | Dimassi, Mouez | |
| dc.creator | Zerzeri, Maher | |
| dc.date | 2012-03-01 | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1352 | |
| dc.identifier | 10.4067/S0719-06462012000100004 | |
| dc.description | In this paper we study the asymptotic expansion of the spectral shift function for the slowly varying perturbations of periodic Schr¨odinger operators. We give a weak and pointwise asymptotic expansions in powers of ℎ of the derivative of the spectral shift function corresponding to the pair (P(ℎ) = P0 + 𝜑(ℎ𝑥), P0 = −∆ + V(𝑥)), where 𝜑(𝑥) ∈ ∁∞(ℝn, ℝ) is a decreasing function, O(|𝑥|−δ ) for some δ > n and ℎ is a small positive parameter. Here the potential V is real, smooth and periodic with respect to a lattice Γ in ℝn. To prove the pointwise asymptotic expansion of the spectral shift function, we establish a limiting absorption Theorem for P(ℎ). | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1352/1207 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal; 29–47 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 14 Núm. 1 (2012): CUBO, A Mathematical Journal; 29–47 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Periodic Schr¨odinger operator | en-US |
| dc.subject | spectral shift function | en-US |
| dc.subject | asymptotic expansions | en-US |
| dc.subject | limiting absorption theorem | en-US |
| dc.title | Spectral shift function for slowly varying perturbation of periodic Schrödinger operators | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
