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Bohr-Sommerfeld-like quantization in the theory of walking droplets
Citation
Montes Maldonado, Javier and Revuelta Peña, Fabio and Borondo Rodríguez, Florentino (2021). Bohr-Sommerfeld-like quantization in the theory of walking droplets. "Physical Review E", v. 103 (n. 5); pp.. ISSN 2470-0053. https://doi.org/10.1103/PhysRevE.103.053110.
Description
| Title: | Bohr-Sommerfeld-like quantization in the theory of walking droplets |
|---|---|
| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Physical Review E |
| Date: | 24 May 2021 |
| ISSN: | 2470-0053 |
| Volume: | 103 |
| Subjects: | |
| Freetext Keywords: | walking droplets, mean wave, eigenfunction, chaos, quartic potential, Bohr-sommerfeld quantization |
| Faculty: | E.T.S. de Ingeniería Agronómica, Alimentaria y de Biosistemas (UPM) |
| Department: | Ingeniería Agroforestal |
| UPM's Research Group: | Sistemas Complejos GSC |
| Creative Commons Licenses: | None |
Abstract
Recent experiments have shown that self-propelled millimetric walking droplets bouncing on a vibrating liquid surface exhibit phenomena, such as interference or tunneling, that so far were thought to be possible only in the microscopic realm. Here we present calculations showing that the surface wave satisfies, in the long-memory limit, a Bohr-Sommerfeld quantization-like relation. This strongly suggest the possibility of a novel fundamental type of quantization in these experiments, which can simultaneously explain their emulation of the quantum behavior and, more importantly, shed light into some of the interpretational difficulties of the standard quantum theory.
Funding Projects
| Type | Code | Acronym | Leader | Title |
|---|---|---|---|---|
| Madrid Regional Government | APOYO-JOVENES- 4L2UB6-53-29443N | GeoCoSiM | Fabio Revuelta Peña | Geometría y Control de Sistemas Microscópicos. Nuevas perspectivas |
| Government of Spain | PGC2018-093854- BI00 | CHACOM | Rosa María Benito Zafrilla, Florentino Borondo Rodríguez | Caos hamiltoniano y complejidad en sistemas dinámicos |
| Government of Spain | SEV-2015-0554 | Unspecified | Unspecified | Severo Ochoa |
More information
| Item ID: | 67245 |
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| DC Identifier: | https://oa.upm.es/67245/ |
| OAI Identifier: | oai:oa.upm.es:67245 |
| DOI: | 10.1103/PhysRevE.103.053110 |
| Official URL: | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.053110 |
| Deposited by: | Fabio Fabio Revuelta Peña |
| Deposited on: | 25 May 2021 05:50 |
| Last Modified: | 25 May 2021 05:50 |
