Quantum Poincare Section of a Two-Dimensional hamiltonian in a Coherent State Representation

• 来源期刊: 中国物理快报（英文版）
• 学科: 物理学
• 年，卷（期）: 2002,（9）
• 页码范围: 1264-1267
• 页数: 4页
• 分类号: O4
• 语种: 英文

摘要

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.