|
|
|
|
| LEADER |
01165 am a22002293u 4500 |
| 001 |
80859 |
| 042 |
|
|
|a dc
|
| 100 |
1 |
0 |
|a Hezari, Hamid
|e author
|
| 100 |
1 |
0 |
|a Massachusetts Institute of Technology. Department of Mathematics
|e contributor
|
| 100 |
1 |
0 |
|a Guillemin, Victor W.
|e contributor
|
| 100 |
1 |
0 |
|a Hezari, Hamid
|e contributor
|
| 700 |
1 |
0 |
|a Guillemin, Victor W.
|e author
|
| 245 |
0 |
0 |
|a A Fulling-Kuchment theorem for the 1D harmonic oscillator
|
| 260 |
|
|
|b IOP Publishing,
|c 2013-09-23T15:12:59Z.
|
| 856 |
|
|
|z Get fulltext
|u http://hdl.handle.net/1721.1/80859
|
| 520 |
|
|
|a Original manuscript September 5, 2011
|
| 520 |
|
|
|a 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.
|
| 520 |
|
|
|a National Science Foundation (U.S.) (Grant DMS-1005696)
|
| 520 |
|
|
|a National Science Foundation (U.S.) (Grant DMS-0969745)
|
| 546 |
|
|
|a en_US
|
| 655 |
7 |
|
|a Article
|
| 773 |
|
|
|t Inverse Problems
|
