| dc.contributor.author | Hezari, Hamid | |
| dc.contributor.author | Guillemin, Victor W. | |
| dc.date.accessioned | 2013-09-23T15:12:59Z | |
| dc.date.available | 2013-09-23T15:12:59Z | |
| dc.date.issued | 2012-03 | |
| dc.date.submitted | 2012-02 | |
| dc.identifier.issn | 0266-5611 | |
| dc.identifier.issn | 1361-6420 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/80859 | |
| dc.description | Original manuscript September 5, 2011 | en_US |
| dc.description.abstract | We prove that there exists a pair of non-isospectral 1D semiclassical Schrödinger operators whose spectra agree up to O(h∞). In particular, all their semiclassical trace invariants are the same. Our proof is based on an idea of Fulling–Kuchment and Hadamard's variational formula applied to suitable perturbations of the harmonic oscillator. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1005696) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-0969745) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | IOP Publishing | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1088/0266-5611/28/4/045009 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | A Fulling–Kuchment theorem for the 1D harmonic oscillator | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Guillemin, Victor, and Hamid Hezari. “A Fulling–Kuchment theorem for the 1D harmonic oscillator.” Inverse Problems 28, no. 4 (April 1, 2012): 045009. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Guillemin, Victor W. | en_US |
| dc.contributor.mitauthor | Hezari, Hamid | en_US |
| dc.relation.journal | Inverse Problems | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dspace.orderedauthors | Guillemin, Victor; Hezari, Hamid | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0003-2641-1097 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
