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利用IWOP技术\构造四元数相干态和四元数的积分

onstruction of quaternion coherent state with the use of IWOP method and some useful integration formulas over quaternion

中文摘要英文摘要

以四元数为基础,我们构造了四元数相干态(QCS),因为四元数乘法的非交换性,本文提出一些新的四元数积分公式,从而可以证明QCS的完备性。我们同时证明四元数唯一的复数的自然推广。做为QCS态在推导算符恒等式中的应用也通过有序算符的积分技术(IWOP)给出。

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.

陈俊华、范洪义

物理学

四元数相干态有序算符积分技术四元数非交换性完备性关系算符恒等式

quaternion coherent stateIWOPnoncommutativity of quarternionscompleteness relationoperator identities

陈俊华,范洪义.利用IWOP技术\构造四元数相干态和四元数的积分[EB/OL].(2011-01-26)[2025-08-23].http://www.paper.edu.cn/releasepaper/content/201101-1275.点此复制

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