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Construction of quaternion coherent state with the use of IWOP method and some useful integration formulas over quaternion
Chen Junhua,Fan Hongyi
Department of Material Science and Engineering
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Funding: 高等学校博士学科点专项科研基金（No.NO.20070358009）
Opened online:26 January 2011
Accepted by: none
Citation: Chen Junhua,Fan Hongyi.Construction of quaternion coherent state with the use of IWOP method and some useful integration formulas over quaternion[OL]. [26 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4407644
 
 
Based on quaternions we try to construct quaternion coherent state (QCS), dueto the noncommutativity of quarternions' multplication some new integrationformulas over quaternions are derived in this paper which helps to find thecompleteness relation of QCS. We also prove that quaternions is the onlypossible natural extension of complex number. Application of QCS in derivingoperator identities is also presented with the use of the integrationtechnique within an ordered product (IWOP) of operators.
Keywords:quaternion coherent state;IWOP;noncommutativity of quarternions;completeness relation;operator identities
 
 
 

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