| 相空间中对应量子力学基本对易关系的积分变换及求Wigner函数的新途径 |
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| 引用本文： | 范洪义,梁祖峰. 相空间中对应量子力学基本对易关系的积分变换及求Wigner函数的新途径[J]. 物理学报, 2015, 64(5): 50301-050301. DOI: 10.7498/aps.64.050301 |
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| 作者姓名： | 范洪义 梁祖峰 |
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| 作者单位： | 1. 宁波大学, 物理系, 宁波 315211;2. 杭州师范大学, 理学院, 杭州 310036 |
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| 基金项目： | 国家自然科学基金(批准号: 11175113, 11275123)资助的课题. |
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| 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 1/πexp[±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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| 关 键 词： | 对易关系 积分变换 Weyl编序 Wigner函数 |
| 收稿时间： | 2014-07-11 |
An integral-transformation corresponding to quantum mechanical fundamental commutative relation and its application in deriving Wigner function |
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| Fan Hong-Yi,Liang Zu-Feng. An integral-transformation corresponding to quantum mechanical fundamental commutative relation and its application in deriving Wigner function[J]. Acta Physica Sinica, 2015, 64(5): 50301-050301. DOI: 10.7498/aps.64.050301 |
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| Authors: | Fan Hong-Yi Liang Zu-Feng |
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| Affiliation: | 1. Department of Physics, Ningbo University, Ningbo 315211, China;2. College of Science, Hangzhou Normal University, Hangzhou 310036, China |
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| Abstract: | |
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| Keywords: | commutative relation integral transformation Weyl ordering Wigner function |
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