物理实在的局域量子力学描述能否被认为是完备的？
Can a Local Quantum-Mechanical Description of Physical Reality Be Considered Complete?
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中文总结 AI 辅助
本文论证完备量子场论应基于非局域可观察原理构建，由此推导非局域薛定谔方程，并证明对易子与不确定性原理源于平移协变性。
中文摘要 AI 辅助
在一个完备的量子理论中，人们将基于我们在系统中能观察到并在我们的宇宙中可操作地定义的内容来构建它。这一哲学可追溯至由W.海森堡、N.玻尔等人作为哥本哈根学派一部分所定义的量子理论的一些原始理想。我们在这封信中论证，如果人们希望构建一个完备的量子场论，那么最自然的方式是基于可观察原理的非局域理论来构建它。如果这一解释有效，那么恢复量子力学的单粒子非相对论极限也将是非局域的。在这种解释下，我们推导出了非局域薛定谔方程。我们还将证明，正则位置-动量对易子和海森堡不确定性原理从平移协变性中涌现出来。
英文摘要
In a complete quantum theory, one would construct it based on what we can observe in a system and operationally define in our universe. This philosophy goes back to some of the original ideals of quantum theory defined by W. Heisenberg, N. Bohr, and others as part of the Copenhagen school of thought. We argue in this letter that that if one wishes to construct a complete quantum field theory, that it is most natural to construct it based on a nonlocal theory of observable principles. If this interpretation is valid, then the one-particle nonrelativistic limit that recovers quantum mechanics would as well be dynamically nonlocal. In this interpretation we derive the nonlocal Schrödinger equation. We will as well demonstrate that the canonical position--momentum commutator and the Heisenberg uncertainty principle emerge from translation covariance.
发表机构
- Wilfrid Laurier University（韦仕敦大学）
- Perimeter Institute for Theoretical Physics（理论物理前沿研究所）
- University of Waterloo（滑铁卢大学）
机构由 AI 辅助整理，请以论文原文为准。
