Exact Invariants for a Time-Dependent Hamiltonian System  

作　　者：罗小兵 

机构地区：[1]Department of Physics, Jinggangshan University, Ji'an 343(109

出　　处：《Chinese Physics Letters》2009年第1期161-164,共4页中国物理快报（英文版）

摘　　要：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.

分 类 号：O413[理学—理论物理]