| 量子效应的分解 |
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| 引用本文： | 杜鸿科,邓春源. 量子效应的分解[J]. 陕西师范大学学报(自然科学版), 2006, 34(1): 1-5 |
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| 作者姓名： | 杜鸿科 邓春源 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 陕西西安710062 |
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| 摘 要： | 研究了Hilbert空间上一个量子效应分解成几个sharp量子效应和almost sharp量子效应之和的问题.得到了一个量子效应是sharp效应与almost sharp效应之和的充要条件及是两个sharp效应之和的充要条件,给出了一个效应是almost sharp效应的充要条件.作为应用,证明了当H的维数是无限的或者维数是偶数时,一个量子效应可以分解成两个almost sharp量子效应之和;当H的维数是奇数时,一个量子效应可以分解成至多三个almost sharp量子效应之和.
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| 关 键 词： | 正算子 量子效应 sharp量子效应 almost sharp量子效应 |
| 文章编号： | 1672-4291（2006）01-0001-05 |
| 收稿时间： | 2005-09-22 |
| 修稿时间： | 2005-09-22 |
Factorizations of quantum effects |
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| DU Hong-ke,DENG Chun-yuan. Factorizations of quantum effects[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 2006, 34(1): 1-5 |
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| Authors: | DU Hong-ke DENG Chun-yuan |
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| Abstract: | Some necessary and sufficient conditions are established respectively for an effect to be a sum of a sharp effect and an almost sharp effect,and to be a sum of two sharp effects.A necessary and sufficient condition is also given for an effect to be almost sharp.As applications,an effect can be represented as a sum of two almost sharp effects if the dimension of H is infinite or even and as a sum of at most three sharp effects if the dimension of H is odd. |
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| Keywords: | positive operator quantum effect sharp quantum effect almost sharp quantum effect |
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