| 经典函数与量子算符的Weyl对应 |
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| 引用本文： | 徐世民,张运海,徐兴磊.经典函数与量子算符的Weyl对应[J].大学物理,2012,31(4):1-5,22. |
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| 作者姓名： | 徐世民 张运海 徐兴磊 |
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| 作者单位： | 菏泽学院物理系,山东菏泽,274015 |
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| 基金项目： | 山东省自然科学基金资助项目，菏泽学院科学研究基金资助项目 |
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| 摘 要： | 提出了通过定义一种算符编序来处理含有不对易因子的积分的思想,研究了经典函数与量子算符的Weyl对应问题,得到了计算简捷的Weyl对应规则之数学显式,并给出了一种证明量子力学表象完备性关系的新方法.以实例支持了Weyl对应规则的正确性,说明了Weyl对应规则理论是自洽的.
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| 关 键 词： | c数 q数 Weyl对应 正规乘积:Weyl编序 |
Weyl correspondence of classical functions and quantum operators |
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| XU Shi-min
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ZHANG Yun-hai
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XU Xing-lei.Weyl correspondence of classical functions and quantum operators[J].College Physics,2012,31(4):1-5,22. |
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| Authors: | XU Shi-min ZHANG Yun-hai XU Xing-lei |
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| Institution: | (Department of Physics,Heze University,Heze,Shandong 274015,China) |
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| Abstract: | A new idea how to solve the integration containing incommutable operators is proposed,the problem of the correspondence between classical functions and quantum operators is studied,the explicit formulae of Weyl correspondence is obtained.Furthermore,a new method of examining the completeness relation of a quantum representation is given. |
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| Keywords: | c-number q-nuruber Weyl correspondence normal ordering Weyl ordering |
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