The symbol of a function of an operator
| dc.creator | Gracia-Saz, Alfonso | |
| dc.date | 2004-11-08 | |
| dc.date | 2005-02-22 | |
| dc.date.accessioned | 2026-07-07T05:14:05Z | |
| dc.date.available | 2026-07-07T05:14:05Z | |
| dc.description | We give an explicit formula for the symbol of a function of an operator. Given an operator {\hat A} on L^2(R^N) with symbol A, and a function f, we obtain the symbol of f(\hat A) in terms of A. As an application, Bohr-Sommerfeld quantization rules are explicitely calculated at order 4 in hbar. | |
| dc.description | 26 pages. v2 contains a better, shorter proof. The problem is considered in more generality. References are corrected | |
| dc.identifier | https://arxiv.org/abs/math/0411163 | |
| dc.identifier | http://arxiv.org/abs/math/0411163 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73143 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | 53D55 (primary), 81S10 (secondary) | |
| dc.title | The symbol of a function of an operator | |
| dc.type | text |