arXiv quant-ph/01120702001-12quant-ph

量子场论与稠密测量

Quantum field theory and dense measurement

D. Bar

备注：: 19 pages, 2 figures, Section 4 has been removed
发表信息：: Int.J.Theor.Phys.42:443-463,2003
DOI：: 10.1023/A:1024481630621

摘要：

我们表明，使用量子场论，进行大量相同的重复相同的测量不仅保持初始状态的波函数（芝诺效应），但也产生额外的物理效应。我们首先证明了在量子场论的框架内也可以出现芝诺型效应，即作为一种量子场现象。对于初态和终态不同的一般情况，我们还从量子场论导出了Zeno型效应。本文研究的基本物理实体不是传统的一次完成的物理过程，而是它们的$n$次重复，其中$n$趋于无穷大。我们表明，这些重复的存在需要额外的激发态能量的存在下，和他们的情况下，需要这些激发能的情况下。我们还表明，在这些重复的存在下，薛定谔方程可能来自量子力学的功能推广。

英文摘要：

We show, using quantum field theory, that performing a large number of identical repetitions of the same measurement does not only preserve the initial state of the wave function (the Zeno effect), but also produces additional physical effects. We first demonstrate that a Zeno type effect can emerges also in the framework of quantum field theory, that is, as a quantum field phenomenon. We also derive a Zeno type effect from quantum field theory for the general case in which the initial and final states are different. The basic physical entities dealt with in this work are not the conventional once-perfomed physical processes, but their $n$ times repetition where $n$ tends to infinity. We show that the presence of these repetitions entails the presence of additional excited state energies, and the absence of them entails the absence of these excited energies. We also show that in the presence of these repetitions the Schroedinger equation may be derived from the functional generalization of quantum mechanics.

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