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arXiv quant-ph/0506165quant-ph
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确定性原则

The certainty principle

D. A. Arbatsky

摘要:

引入了量子角的概念。量子角是量子系统的物理状态集合的度量。研究了其运动学和动力学特性。阐述并证明了量子系统的确定性原理。事实证明,确定性原理与海森堡不确定原理密切相关(它在某种意义上提出了相反的观点)。但同时,确定性原理允许为更广泛的问题给出严格的公式(它允许严格解释和建立时间-能量,角度-角动量等量对的类似不等式)。

英文摘要:

The notion of the quantum angle is introduced. The quantum angle turns out to be a metric on the set of physical states of a quantum system. Its kinematics and dynamics is studied. The certainty principle for quantum systems is formulated and proved. It turns out that the certainty principle is closely connected with the Heisenberg uncertainty principle (it presents, in some sense, an opposite point of view). But at the same time the certainty principle allows to give rigorous formulations for wider class of problems (it allows to rigorously interpret and ground the analogous inequalities for the pairs of quantities like time - energy, angle - angular momentum etc.)

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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