Equivalence relations between deterministic and quantum mechanical systems
Equivalence relations between deterministic and quantum mechanical systems
复制标题
确定性系统与量子力学系统之间的等价关系
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
G. Hooft
中科院分区：
文献类型：
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作者：
G. Hooft
几个量子力学模型被证明与某些确定性系统等效，因为可以找到波函数不“扩散”的基。这表明，量子力学世界中典型的明显的不确定性行为可能是局部确定性物理定律的结果。我们展示了某些确定性系统如何允许希尔伯特空间和哈密顿量的构造，以便在长距离尺度上它们可能表现为量子场论，包括相互作用，但还没有质量项。这些观测结果被认为对建立普朗克尺度的理论是有用的。
Several quantum mechanical models are shown to be equivalent to certain deterministic systems because a basis can be found in terms of which the wave function does not “spread.” This suggests that apparently indeterministic behavior typical for a quantum mechanical world can be the result of locally deterministic laws of physics. We show how certain deterministic systems allow the construction of a Hilbert space and a Hamiltonian so that at long distance scales they may appear to behave as quantum field theories, including interactions but as yet no mass term. These observations are suggested to be useful for building theories at the Planck scale.