Restricting linear Schrödinger evolution to invariant families such as Gaussian and coherent states yields nonlinear, sometimes linear, reduced dynamics; a pulled-back Lagrangian formalism extends the construction to non-invariant families as an approximation.
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Nonlinear Dynamics from Linear Quantum Evolutions
Restricting linear Schrödinger evolution to invariant families such as Gaussian and coherent states yields nonlinear, sometimes linear, reduced dynamics; a pulled-back Lagrangian formalism extends the construction to non-invariant families as an approximation.