Determining Energy Eigenvalues of Dynamic Systems by Finding ＇Eigen-operator＇ ofSquare of Schroedinger Operator  

作　　者：FANHong-Yi XUXue-Fen LIChao 

机构地区：[1]DepartmentofPhysics,ShanghaiJiaoTongUniversity,Shanghai200030,China//DepartmentofMaterialScienceandEngineering,UniversityofScienceandTechnologyofChina,Hefei230026,China [2]PhysicsTeachingDivision,JiangsuTeachersUniversityofTechnology,Changzhou213001,China [3]:SpecialClassforGiftedYoung,UniversityofScienceandTechnologyofChina,Hefei230026,China

出　　处：《Communications in Theoretical Physics》2004年第6X期824-826,共3页理论物理通讯（英文版）

摘　　要：A newly transparent approach for determining energy eigenvalues is proposed, which is finding the ‘eigen-operator' of the square of the Schroedinger operator. As three examples, we discuss the energy level of a nondegenerate parametric amplifier, an angular momentum system and a ring shape of coupled oscillators.

关 键 词：施荣丁格尔算子 海森伯格运动方程 能量间隔 量子力学 偏微分方程 

分 类 号：O413.1[理学—理论物理] O175.2[理学—物理]