Introduction: Individuality, Distinguishability, and (Non-)Entanglement

Introduction: Individuality, Distinguishability, and (Non-)Entanglement
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简介:个性、可区分性和(非)纠缠

DOI:
10.1007/s10838-021-09568-0
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发表时间:
2021
影响因子:
1
通讯作者:
Wachter
Wachter
中科院分区:
--
文献类型:
--
作者:
Friebe;Salimkhani;Wachter

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基本粒子以不同的方式出现。相同种类的粒子(相似粒子)共享所有与状态无关的性质,如质量、电荷和自旋量子数;有许多相似的粒子,但它们在某类性质上是不可区分的。然而,这种情况甚至可能更强:类似的粒子显然具有所有依赖于状态的性质,如空间位置和自旋投影。这威胁到莱布尼茨著名的不可否认的同一性原则(PII;见Rodriguez-Pereyra(2014)的历史重建)的有效性。正如通常所理解的,量子力学要求相似的粒子处于排列不变状态。以下面的状态为例:具有空间位置L和R的性质以及自旋性质↑ z和↓ z。根据标准阅读,两个颗粒处于相同的状态,即处于相同的两颗粒状态,或者如果优选的话,处于相同的还原混合状态:
Elementary particles appear in different ways. Particles of the same kind (similar particles) share all state-independent properties like mass, charge, and spin quantum number; there are many similar particles, but they are indistinguishable with respect to a certain class of properties. However, the case might even be stronger: similar particles apparently share all state-dependent properties, like spatial location and spin projection. This threatens the validity of Leibniz’s famous Principle of the Identity of Indiscernibles (PII; see Rodriguez-Pereyra (2014) for a historical reconstruction). As it is usually understood, quantum mechanics requires for similar particles to be in permutation invariant states. Take the following state, for example: with properties of spatial location L and R and spin properties↑ z and↓ z. According to the standard reading, both particles are in the same state, namely in the same two-particle state or, if preferred, in the same reduced mixed state:
关于量子粒子
DOI: 10.1016/s0960-0779(01)00149-7
发表时间: 2002
影响因子: 7.8
作者:
M. Nagasawa
通讯作者: M. Nagasawa