双曲复数与双曲复群在1+1维相对论时空中的应用  

Application of the Hyperbolic Complex Number and Hyperbolic Complex Group in 1+1 Dimensional Relativistic Spacetime

作　　者：吴亚波[1] 邵颖[1] 

机构地区：[1]辽宁师范大学物理系,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2003年第2期139-144,共6页Journal of Liaoning Normal University:Natural Science Edition

基　　金：辽宁省教育厅高校科研项目(20041012)

摘　　要：利用双曲复数研究二重转动群SO(2,η(J))和二重酉群U(1,J)之间的同构关系.进一步将它们运用于物理学中,并由此导出1+1维狭义相对论中的洛仑兹变换和速度变换关系式.The isomorphic relation between the ratation group SO(2,η(J)) and the unitary group U(1,J) is studied by the hyperbolic complex number system .Furthermore, onedimentional unitary group U(1,H) is used in 1+1 dimensional special theory of relativity, and the Lorentz transformation and velocity transformation relation are derived by using onedimentional unitary group U(1,H) transformation .

关 键 词：1+1维狭义相对论 相对论时空 洛仑兹变换 速度变换 双曲复数 双曲复群 二重转动群 二重酉群 

分 类 号：O412.1[理学—理论物理] O411.1[理学—物理]