Inertio-gravity Poincaré waves and the quantum relativistic Klein–Gordon equation, near-inertial waves and the non-relativistic Schrödinger equation

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Inertio-gravity Poincaré waves and the quantum relativistic Klein–Gordon equation, near-inertial waves and the non-relativistic Schrödinger equation
 
Heifetz, Eyal; Maas, Leo R. M.; Mak, Julian; Pomerantz, Ishay
(2022) Physics of Fluids, volume 34, issue 11, pp. 1 - 7
(Article)
Abstract
Shallow water inertio-gravity Poincaré waves in a rotating frame satisfy the Klein-Gordon equation, originally derived for relativistic, spinless quantum particles. Here, we compare these two superficially unrelated phenomena, suggesting a reason for them sharing the same equation. We discuss their energy conservation laws and the equivalency between the non-relativistic limit ... read more
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Keywords: Propagation, Condensed Matter Physics, Mechanics of Materials, Mechanical Engineering, Fluid Flow and Transfer Processes, Computational Mechanics
DOI: https://doi.org/10.1063/5.0120375
ISSN: 1070-6631
Publisher: American Institute of Physics
Note: Funding Information: We are grateful to the two anonymous reviewers whose revisions helped us to improve the manuscript. E.H. is grateful to Yair Zarmi, Roy Barkan, Ronald Lubberts, and Mattias Terfelt for fruitful discussion. J.M. acknowledges financial support from the RGC Early Career Scheme, No. 2630020 and the Center for Ocean Research in Hong Kong and Macau, a Joint Research Center between the Qingdao National Laboratory for Marine Science and Technology and Hong Kong University of Science and Technology. This research was supported in part by NSF-BSF via Grant No. 1025495. Publisher Copyright: © 2022 Author(s).
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