@article{7b6bfa1ebadd43f89dbb0e2f1256bac4,
title = "Inertio-gravity Poincar{\'e} waves and the quantum relativistic Klein-Gordon equation, near-inertial waves and the non-relativistic Schr{\"o}dinger equation",
abstract = "Shallow water inertio-gravity Poincar{\'e} 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 of the Klein-Gordon equation, yielding the Schr{\"o}dinger equation, and the near-inertial wave limit in the shallow water system.",
author = "E. Heifetz and Maas, {Leo R.M.} and J. Mak and I. Pomerantz",
note = "Publisher Copyright: {\textcopyright} 2022 Author(s).",
year = "2022",
month = nov,
day = "1",
doi = "10.1063/5.0120375",
language = "אנגלית",
volume = "34",
journal = "Physics of Fluids",
issn = "1070-6631",
publisher = "American Institute of Physics",
number = "11",
}