| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Exact Invariants for a Time-Dependent Hamiltonian System |
| LUO Xiao-Bing |
| Department of Physics, Jinggangshan University, Ji'an 343009 |
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| Cite this article: |
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LUO Xiao-Bing 2009 Chin. Phys. Lett. 26 014501 |
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Abstract 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.
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| Keywords:
45.20.-d
45.50.Jf
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Received: 22 September 2008
Published: 24 December 2008
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| PACS: |
45.20.-d
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(Formalisms in classical mechanics)
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45.50.Jf
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(Few- and many-body systems ?)
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