Bohr-Sommerfeld-like quantization in the theory of walking droplets

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:
  • Montes Maldonado, Javier
  • Revuelta Peña, Fabio
  • Borondo Rodríguez, Florentino
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

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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

TypeCodeAcronymLeaderTitle
Madrid Regional GovernmentAPOYO-JOVENES- 4L2UB6-53-29443NGeoCoSiMFabio Revuelta PeñaGeometría y Control de Sistemas Microscópicos. Nuevas perspectivas
Government of SpainPGC2018-093854- BI00CHACOMRosa María Benito Zafrilla, Florentino Borondo RodríguezCaos hamiltoniano y complejidad en sistemas dinámicos
Government of SpainSEV-2015-0554UnspecifiedUnspecifiedSevero Ochoa

More information

Item ID: 67245
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
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