Pfirsch, B;
Sobolev, AV;
(2018)
Formulas of Szegő Type for the Periodic Schrödinger Operator.
Communications in Mathematical Physics
, 358
(2)
pp. 675-704.
10.1007/s00220-018-3106-z.
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Abstract
We prove asymptotic formulas of Szeg˝o type for the periodic Schrödinger operator H = − d2 dx2 + V in dimension one. Admitting fairly general functions h with h(0) = 0, we study the trace of the operator h(χ(−α,α)χ(−∞,μ)(H)χ(−α,α)) and link its subleading behaviour as α → ∞ to the position of the spectral parameter μ relative to the spectrum of H.
| Type: | Article |
|---|---|
| Title: | Formulas of Szegő Type for the Periodic Schrödinger Operator |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00220-018-3106-z |
| Publisher version: | https://doi.org/10.1007/s00220-018-3106-z |
| Language: | English |
| Additional information: | Copyright © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10040520 |
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