论文标题
非共同时空中的量子粒子：身份危机
Quantum particles in non-commutative space-time: an identity crisis
论文作者
论文摘要
我们认为，相同颗粒的概念不再是由非交通性变形的量子系统定义的。此类模型的特征是非亚伯式谎言组给出的四摩托姆空间。我们的分析是基于这样的观察结果：对于包含多个粒子的状态，仅系统的总动量才是一个明确定义的量子数。这种总动量是从不再唯一定义的颗粒个体动量的非亚洲组成中获得的。我们分析的主要结果是，以前所有试图为这些模型构建Fock空间的尝试都取决于错误的假设，并且确实没有成功。我们还展示了动量量子数的自然编织是如何表征国家张量产品中因子在相对论转换下的协变量，从而解决了田间长期存在的问题。
We argue that the notion of identical particles is no longer well defined in quantum systems governed by non-commutative deformations of space-time symmetries. Such models are characterized by four-momentum space given by a non-abelian Lie group. Our analysis is based on the observation that, for states containing more than one particle, only the total momentum of the system is a well defined quantum number. Such total momentum is obtained from the non-abelian composition of the particles individual momenta which are no longer uniquely defined. The main upshot of our analysis is that all previous attempts to construct Fock spaces for these models rested on wrong assumptions and indeed have been unsuccessful. We also show how the natural braiding of momentum quantum numbers which characterizes the exchange of factors in the tensor product of states is covariant under relativistic transformations thus solving a long standing problem in the field.
