从“语境客观性”观点重构量子力学的形式体系
Reconstructing the formalism of quantum mechanics in the ``contextual objectivity" point of view
摘要:
在以前的预印本(quant-ph/0012122)中,我们介绍了量子力学(QM)的“背景客观性”公式。这种方法的一个中心特征是用物理而不是数学术语来定义量子态,这样它就可以被赋予一个“客观现实”。在这里,我们使用一些关于系统维度的想法,从quant-ph/0101012,提出一个可能的公理化方法QM。在这种方法中,QM的结构出现作为一个直接后果的非交换字符的(经典几何)组的“旋钮变换”,涉及自己之间的不同位置的测量仪器。
英文摘要:
In a previous preprint (quant-ph/0012122) we introduced a ``contextual objectivity" formulation of quantum mechanics (QM). A central feature of this approach is to define the quantum state in physical rather than in mathematical terms, in such a way that it may be given an "objective reality". Here we use some ideas about the system dimensionality, taken from quant-ph/0101012, to propose a possible axiomatic approach to QM. In this approach the structure of QM appears as a direct consequence of the non-commutative character of the (classical geometrical) group of "knobs transformations", that relate between themselves the different positions of the measurement apparatus.
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