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arXiv quant-ph/0703020quant-ph
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量子力学模态解释中的概率

Probability in modal interpretations of quantum mechanics

Dennis Dieks

摘要:

模态解释的目标是将量子力学作为一种客观的、不依赖于人的物理实在的描述。他们的第二个主导思想是概率论:量子力学并不完全确定物理现实,但产生概率。在解决这些问题的过程中,一个重要的主题是要与量子力学的标准形式保持密切的联系,并且避免手工引入新的结构。在本文中,我们将解释如何使这一方案具体化。特别是,我们表明,玻恩概率规则,和组的定值观测值的玻恩概率属于,可以唯一地定义从量子态和希尔伯特空间结构。我们讨论了模态解释的概率的地位,并为此目的,我们与多世界的替代品进行了比较。我们强调的一个总体观点是,模态思想定义了一个总体框架和研究方案,而不是一个明确的和完成的解释。

英文摘要:

Modal interpretations have the ambition to construe quantum mechanics as an objective, man-independent description of physical reality. Their second leading idea is probabilism: quantum mechanics does not completely fix physical reality but yields probabilities. In working out these ideas an important motif is to stay close to the standard formalism of quantum mechanics and to refrain from introducing new structure by hand. In this paper we explain how this programme can be made concrete. In particular, we show that the Born probability rule, and sets of definite-valued observables to which the Born probabilities pertain, can be uniquely defined from the quantum state and Hilbert space structure. We discuss the status of probability in modal interpretations, and to this end we make a comparison with many-worlds alternatives. An overall point that we stress is that the modal ideas define a general framework and research programme rather than one definite and finished interpretation.

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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