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- W4285396997 abstract "The Eisenhart lift establishes a fascinating connection between non-relativistic and relativistic physics, providing a space-time geometric understanding of non-relativistic Newtonian mechanics. What is still little known, however, is the fact that there is a Hilbert space representation of classical mechanics (also called Koopman-von Neumann mechanics) that attempts to give classical mechanics the same mathematical structure that quantum mechanics has. In this article, we geometrize the Koopman-von Newmann (KvN) mechanics using the Eisenhart toolkit. We then use a geometric view of KvN mechanics to find transformations that relate the harmonic oscillator, linear potential, and free particle in the context of KvN mechanics." @default.
- W4285396997 created "2022-07-14" @default.
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- W4285396997 date "2022-07-11" @default.
- W4285396997 modified "2023-10-01" @default.
- W4285396997 title "Eisenhart lift of Koopman-von Neumann mechanics" @default.
- W4285396997 doi "https://doi.org/10.48550/arxiv.2207.05073" @default.
- W4285396997 hasPublicationYear "2022" @default.
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