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Showing 1 to 3 of 3 for “"completely integrable system"”.
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A new completely integrable system on the symmetric periodic Toda lattice phase space
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1995.
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Quantomorphisms and Quantized Energy Levels for Metaplectic-c Quantization
… value of H, is a quantized energy level for the system (M, ω, H). We prove that our definition is dynamically invariant: if two functions on M share a regular level set, then the quantization condition over that level set is identical for both functions. We calculate the quantized energy levels …
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A classification of toric, folded-symplectic manifolds
Given a $G$-toric, folded-symplectic manifold with co-orientable folding hypersurface, we show that its orbit space is naturally a manifold with corners $W$ equipped with a smooth map $\psi: W \to \frak{g}^*$, where $\frak{g}^*$ is the dual of the Lie algebra of the torus, $G$. The map $\psi$ has …