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math.DS2002★ 35 cited
The Liouville-Arnold-Nekhoroshev theorem for non-compact invariant manifolds
E. Fiorani, G. Giachetta, G. Sardanashvily
Under ceratin conditions, generalized action-angle coordinates can be introduced near non-compact invariant manifolds of completely and partially integrable Hamiltonian systems.
quant-ph2002★ 12 cited
Geometric quantization of time-dependent completely integrable Hamiltonian systems
E. Fiorani, G. Giachetta, G. Sardanashvily
A time-dependent completely integrable Hamiltonian system is quantized with respect to time-dependent action-angle variables near an instantly compact regular invariant manifold. I…