On the Euclidean Version of the Photon Number Integral
| dc.creator | Ruijsenaars, S. | |
| dc.creator | Stodolsky, L. | |
| dc.date | 2007-10-23 | |
| dc.date.accessioned | 2026-07-07T09:19:10Z | |
| dc.date.available | 2026-07-07T09:19:10Z | |
| dc.description | We reconsider the Euclidean version of the photon number integral introduced in ref 1. This integral is well defined for any smooth non-self-intersecting curve in $\R^N$. Besides studying general features of this integral (including it s conformal invariance), we evaluate it explicitly for the ellipse. The result is $n_{ellipse}=(ξ^{-1}+ξ)π^2$, where $ξ$ is the ratio of the minor and major axes. This is in agreement with the previous result $n_{circle}=2π^2$ and also with the conjecture that the minimum value of $n$ for any plane curve occurs for the circle. | |
| dc.description | 13 pages including one figure | |
| dc.identifier | https://arxiv.org/abs/0710.4276 | |
| dc.identifier | http://arxiv.org/abs/0710.4276 | |
| dc.identifier | Jnl. Math. Phys. {\bf 49} 023502 (2008) | |
| dc.identifier | doi:10.1063/1.2836411 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154291 | |
| dc.subject | Mathematical Physics | |
| dc.title | On the Euclidean Version of the Photon Number Integral | |
| dc.type | text |