摘要
把双四元数推广到了二级双四元数 ,并设计了一种态函数的四元数表示法 ,从而用四元数表述了相对论量子力学 ,使四元数物理学形成了系统 .用四元数表示的算符和状态 。
Duoquaternion and second order duoquaternion are introduced. Their elements are complexes and duoquaternions respectively. One kind of state function in quaternion notations is designed and used to describe relativistic quantum mechanics successfully. It also makes quaternion physics more systematical. It is also very convenient to denote quantum operator and state in quaternion notations,and use them to derive the commutation of operators and discuss Lorentz transformation of state.\;
出处
《大学物理》
北大核心
2001年第11期20-23,共4页
College Physics
关键词
四元数
狄拉克方程
洛伦兹变换
二级双四元数
态函数
量子力学
second order duoquaternion
quaternion notations of state
Dirac equation
Lorentz transformation
