论文标题

希尔伯特空间中的相对性和等价性:Aharonov-Bohm效应的一种原理理论方法

Relativity and Equivalence in Hilbert Space: A Principle-Theory Approach to the Aharonov-Bohm Effect

论文作者

Hetzroni, Guy

论文摘要

本文制定了相对论的一般原理的广义版本和可以应用于一般抽象空间的等价原理的广义版本。结果表明,当原理应用于量子粒子的希尔伯特空间时,就会获得其与电磁场的耦合定律。建议根据这些原则了解Aharonov-Bohm的效果,并讨论了对某些相关基础争议的影响。

This paper formulates generalized versions of the general principle of relativity and of the principle of equivalence that can be applied to general abstract spaces. It is shown that when the principles are applied to the Hilbert space of a quantum particle, its law of coupling to electromagnetic fields is obtained. It is suggested to understand the Aharonov-Bohm effect in light of these principles, and the implications for some related foundational controversies are discussed.

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