Gaussian Integral Formula for Quaternions Based on Class
Operator's Formula of Rotation Group |
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| Authors: | FAN Hong-Yi XU Zhi-Hua |
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| Institution: | 1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
;2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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| 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. |
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| Keywords: | Gaussian integration for quaternions rotation group class operator |
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