We have a classical look for a quantum system which is exactly solvable. We construct the invariant manifolds analytically, and then apply the semiclassical quantization rules in a final step to compute the quasienergies. The invariant is obtained by performing a canonical transformation of the initially time-dependent Hamiltonian to a time-independent one. The correspondence between classical and quantum mechanics is elucidated.
We have a classical look for a quantum system which is exactly solvable. We construct the invariant manifolds analytically, and then apply the semiclassical quantization rules in a final step to compute the quasienergies. The invariant is obtained by performing a canonical transformation of the initially time-dependent Hamiltonian to a time-independent one. The correspondence between classical and quantum mechanics is elucidated.
LUO Xiao-Bing. Exact Invariants for a Time-Dependent Hamiltonian System[J]. 中国物理快报, 2009, 26(1): 14501-014501.
LUO Xiao-Bing. Exact Invariants for a Time-Dependent Hamiltonian System. Chin. Phys. Lett., 2009, 26(1): 14501-014501.
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2009, Vol. 26 
