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Revisiting Separation of Variables in Hamilton-Jacobi Equations: Abstract and Introduction
Manage episode 423032025 series 3474373
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This story was originally published on HackerNoon at: https://hackernoon.com/revisiting-separation-of-variables-in-hamilton-jacobi-equations-abstract-and-introduction.
A critical examination of recent claims regarding separation of variables in Hamilton-Jacobi equations, clarifying misconceptions and historical contributions.
Check more stories related to science at: https://hackernoon.com/c/science. You can also check exclusive content about #physics, #hamilton-jacobi-equation, #separation-of-variables, #stackel-spaces, #theoretical-physics, #vladimir-n.-shapovalov, #metric-tensors, #covariant-form, and more.
This story was written by: @eigenvector. Learn more about this writer by checking @eigenvector's about page, and for more stories, please visit hackernoon.com.
This article is a feedback on an article by M.O. Katanaev in Physica Scripta (2023, 98, 104001) The author sets out his vision of the history of the creation of the theory of complete separation of variables in the free Hamilton-Jacobi equation. He claims that the results obtained in the articles significantly complement the theory. For the first time an explicit form of integrals of motion has been found.
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