Quantum Poincaré Section of a Two-Dimensional Hamiltonian in a Coherent State Representation
JIN Ying-Xin, HE Kai-Fen
Key Laboratory of Beam Technology and Material Modification of Ministry of Education, Beijing Normal University, Beijing 100875
Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875
Beijing Radiation Center, Beijing 100875
Quantum Poincaré Section of a Two-Dimensional Hamiltonian in a Coherent State Representation
JIN Ying-Xin;HE Kai-Fen
Key Laboratory of Beam Technology and Material Modification of Ministry of Education, Beijing Normal University, Beijing 100875
Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875
Beijing Radiation Center, Beijing 100875
Abstract： 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 two-dimensional system, the quantum Poincaré section plot is constructed in the coherent state representation with the restriction that the centers of 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.
JIN Ying-Xin;HE Kai-Fen. Quantum Poincaré Section of a Two-Dimensional Hamiltonian in a Coherent State Representation[J]. 中国物理快报, 2002, 19(9): 1264-1267.
JIN Ying-Xin, HE Kai-Fen. Quantum Poincaré Section of a Two-Dimensional Hamiltonian in a Coherent State Representation. Chin. Phys. Lett., 2002, 19(9): 1264-1267.
2002, Vol. 19 
