【摘 要】
：
We study the quantum behaviour of a quasi-integrable Hamiltonian. The unperturbed Hamiltonian displays degeneracies of energy levels, which become avoided cross
【机 构】
：
Key Laboratory of Beam Technology and Material Modification of Ministry of Education, Beijing Normal
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We study the quantum behaviour of a quasi-integrable Hamiltonian. The unperturbed Hamiltonian displays degeneracies of energy levels, which become avoided crossings under a nonintegrable perturbation. In this twodimensional system, the quantum Poincaré section plot is constructed in the coherent state representation with the restriction that the centres of the wavepackets are confined at the classical surface of constant energy. It is found that the quantum Poincaré section plot obtained in this way provides an evident counterpart of the classical system.
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