改进的Lipkin－Meshkov－Glick模型和它的严格解

MODIFIED LIPKIN-MESHKOV-GLICK MODEL AND ITS EXACT SOLUTIONS

本文讨论了一种改进的Ｌｉｐｋｉｎ－Ｍｅｓｈｋｏｖ－Ｇｌｉｃｋ模型并找到了除已有的Ｃａｓｉｍｉｒ算子外的运动积分ａ＋ａ＋Ｊ３．从而论证了它也是严格可解模型。在经典和ｑ－变形两种情况下给出系统哈密顿量的严格能量谱。

We discuss a modified Lipkin-Meshkov-Glick model and found an another conservation number a￣+a+J3 except Casimir operator. So it shows that the model is an exact integrable.The exact energy-spectra of Hamiltonian of the system are given in the classical and q-deformed case.