@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",

}