Gaussian Integral Formula for Quaternions Based on Class Operator's Formula of Rotation Group
Gaussian Integral Formula for Quaternions Based on Class Operator's Formula of Rotation Group
摘要
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
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