| 两个力学量算符具有共同本征态系的条件 |
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| 引用本文： | 高峰,张登玉,张军民,詹孝贵,陈银花.两个力学量算符具有共同本征态系的条件[J].大学物理,2009,28(11). |
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| 作者姓名： | 高峰 张登玉 张军民 詹孝贵 陈银花 |
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| 作者单位： | 衡阳师范学院,物理与电子信息科学系,湖南,衡阳,421008 |
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| 基金项目： | 教育部第一类特色专业建设资助项目(2009);;衡阳师范学院精品课程建设基金资助项目(2008) |
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| 摘 要： | 量子力学是人们了解微观世界的一门重要的课程.在量子力学中,由于任何实物体都具有波粒二象性,必须用算符来表示力学量,因此算符理论显得尤为重要.在研究多个算符时,有一个非常重要的定理:两个力学量算符能够具有共同本征函数系的充分必要条件是这两个个力学量算符能够互相对易.本文分析了在使用该定理时可能存在的一些问题,并对这些问题进行了澄清.
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| 关 键 词： | 量子力学 算符 本征函数系 对易 |
Study on existence of a simultaneous system of eigenfunctions of two operators |
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| GAO Feng,ZHANG Den-yu,ZHANG Jun-ming,ZHAN Xiao-gui,CHEN Yin-hua.Study on existence of a simultaneous system of eigenfunctions of two operators[J].College Physics,2009,28(11). |
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| Authors: | GAO Feng ZHANG Den-yu ZHANG Jun-ming ZHAN Xiao-gui CHEN Yin-hua |
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| Institution: | Department of Physics and Electronic Information Science;Hengyang Normal University;Hengyang;Hunan 421008;China |
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| Abstract: | The quantum mechanics is an important course that one can understand the microcosmic world.Because of wave-particle duality for system with finite rest mass in quantum mechanics and then replaced each of mechanical quantities by its corresponding operator,the operator theory seems to be important particularly.There is an important theorem when we study many operators,namely,the necessary and sufficient condition for the existence of a simultaneous system of eigenfunctions of two operators is that they can c... |
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| Keywords: | quantum mechanics operator system of eigenfunctions commutation |
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