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中文摘要：
本文指出相空间中存在有对应量子力学基本对易关系积分变换,其积分核是1π：exp[±2 i （q -Q）×（p-P ）]：,其中：：表示Weyl 排序, Q, P是坐标算符和动量算符,其功能是负责算符的三种常用排序（P -Q排序、Q-P排序和Weyl 排序）规则之间的相互转化。此外,还导出了此积分核与Wigner 算符之间的关系,以及Wigner函数在这类积分变换下的性质及用途。
英文摘要：
In this paper, it can be found that there is a type of integra-transformation which corresponds to a quantum mechanical fundamental commutative relation, with its integral kernel being 1π ：：exp[±2i （q-Q） （p-P ）]：：, here ：：：：denotes Weyl ordering, and Q and P are the coordinate and the momentum operator, respectively. Such a transformation is responsible for the mutual-converting among three ordering rules（P-Q ordering, Q-P ordering and Weyl ordering）. We also deduce the relationship between this kernel and the Wigner operator, and in this way a new approach for deriving Wigner function in quantum states is obtained. In this paper, it can be found that there is a type of integra-transformation which corresponds to a quantum mechanical fundamental commutative relation, with its integral kernel being 1π ：：exp[±2i （q-Q） （p-P ）]：：, here ：：：：denotes Weyl ordering, and Q and P are the coordinate and the momentum operator, respectively. Such a transformation is responsible for the mutual-converting among three ordering rules（P-Q ordering, Q-P ordering and Weyl ordering）. We also deduce the relationship between this kernel and the Wigner operator, and in this way a new approach for deriving Wigner function in quantum states is obtained.
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