Analytical Results of Eigenstates and Eigenenergies for Three Kinds of Models Describing N-mode Multiphoton Process  

作　　者：YANGWen-Xing LIJia-Hua LIWei-Bin CHENAi-Xi JINLi-Xia 

机构地区：[1]DepartmentofPhysics,HuazhongUniversityofScienceandTechnology,Wuhan430074,China／／CenterforColdAtomPhysics,theChineseAcademyofSciences,Wuhan430071,China [2]DepartmentofPhysics,HuazhongUniversityofScienceandTechnology,Wuhan430074,China [3]CenterforColdAtomPhysics,theChineseAcademyofSciences,Wuhan430071,China [4]StateKeyLaboratoryofLaserTechnology,HuazhongUniversityofScienceandTechnology,Wuhan430074,China

出　　处：《Communications in Theoretical Physics》2005年第1期22-26,共5页理论物理通讯（英文版）

基　　金：国家重点基础研究发展计划(973计划)，国家自然科学基金

摘　　要：We obtain. the exact analytical results of all the eigenvalues and eigenstates for three kinds of models describing N-mode multiphoton process without using the assumption of the Bethe ansatz. The exact analytical results of all the eigenstates and eigenvalues are in terms of a parameter lambda for three kinds of models describing N-mode multiphoton process. The parameter is shown to be determined by the roots of a polynomial and is solvable analytically or numerically. Moreover, these three kinds of models can be processed with the same procedure.

关 键 词：SPECTRUM EIGENSTATE EIGENVALUE 

分 类 号：O151.21[理学—数学] O433[理学—基础数学]