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Oct
7
awarded  Scholar
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Oct
7
accepted Infinite dimensional manifold
Oct
7
comment Infinite dimensional manifold
Hi Ryan, I find it difficult to phrase it precisely. But let me try again. Is there a generalization of the definition of smooth manifold to infinite dimensional case such that 1) smoothness still makes sense, and the manifold is locally $l^2(\mathbb{N})$, and the uniqueness and existence of flow of vector field can be generalized. 2) Using this definition one can formulate quantum mechanics using a global, coordinate free method.
Oct
7
comment Infinite dimensional manifold
I did ask my physics prof, but he doesn't seem to give me a satisfactory answer that is rigorous in some sense
Oct
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awarded  Editor
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asked Infinite dimensional manifold