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Quantum Properties of Mathematical Physics Equations. Generation of Quantum Structuresстатья
- Автор: Petrova L.I.
- Сборник: http://arxiv.org/abs/2403.19674
- Серия: math.GM
- Глава в коллективной монографии
- Год издания: 2024
- Место издания: arXiv
- Первая страница: 1
- Последняя страница: 21
- Аннотация: It is shown with the help of skew-symmetric forms that the mathematical physics equations have quan- tum properties. And this is due to the integrabi- lity of differential equations, which depends on the consistency of derivatives with respect to different variables and the consistency of equations in system of equations. It was found that the integrability of such equations is realized only on the structures of a cotangent integrable manifold. This happens using a degenerate, non-differential-preserving transfor- mation. When implementing degenerate transforma- tions, mini structures (quanta) arise, from which integrable structures are formed. This reveals the quantum properties of mathematical physics equations.
- Добавил в систему: Петрова Людмила Ивановна