Limits of fractality: Zeno boxes and relativistic particles
| dc.creator | Schulman, L. S. | |
| dc.date | 2001-09-28 | |
| dc.date.accessioned | 2026-07-07T08:41:28Z | |
| dc.date.available | 2026-07-07T08:41:28Z | |
| dc.description | Physical fractals invariably have upper and lower limits for their fractal structure. Berry has shown that a particle sharply confined to a box has a wave function that is fractal both in time and space, with no lower limit. In this article, two idealizations of this picture are softened and a corresponding lower bound for fractality obtained. For a box created by repeated measurements (à la the quantum Zeno effect), the lower bound is $Δx\sim Δt (\hbar/{mL})$ with $\Dt$ the interval between measurements and $L$ is the size of the box. For a relativistic particle, the lower bound is the Compton wavelength, $\hbar/mc$. The key step in deriving both results is to write the propagator as a sum over classical paths. | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0109149 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0109149 | |
| dc.identifier | Chaos, Solitons & Fractals 14, 823-830 (2002) | |
| dc.identifier | doi:10.1016/S0960-0779(02)00027-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141683 | |
| dc.subject | Quantum Physics | |
| dc.title | Limits of fractality: Zeno boxes and relativistic particles | |
| dc.type | text |