On the symplectic reduced space of three-qubit pure states by Molladavoudi, Saeid

“…A criterion from which the elements of the local normal model of the principal stratum can be constructed up to an equivalence relation and also the components of the reduced Hamiltonian dynamics on it are investigated. It is discussed that other lower dimensional strata are isolated points and so they are the fixed points of every reduced Hamiltonian flow on the original manifold.…”
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Symplectic techniques in geometric quantum mechanics and nonlinear quantum mechanics by Molladavoudi, Saeid

“…Furthermore, we show that the non-linear Schrodinger equation is in fact a Hamiltonian dynamics, namely it preserves the symplectic structure of the complex Hilbert space. …”
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