摘要
There exists rare integration formulas over quaternions due to the noncommutativity of quarternions mult-plication.Based on the class operator's formula of rotation group we derive a Gaussian integral formula for quaternions,which is similar in form to the integration for coherent state's completeness relation.
Abstract There exists rare integration formulas over quaternions due to the noncommutativity of quarternions multplication. Based on the class operator＇s formula of rotation group we derive a Gaussian integral formula for quaternions, which is similar in form to the integration for coherent state＇s completeness relation.
基金
National Natural Science Foundation of China under Grant No.10475056
关键词
高斯积分
四元数
算符
公式
Gaussian integration for quaternions, rotation group, class operator
