A generalized spin statistics theorem

10th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

O'Hara, Paul^1

Istituto Universitario Sophia, Via San Vito 28, Loppiano, Figline e Incisa Valdarno (FI)

50064, Italy^1

关键词: Experimental evidence;    Fermi-Dirac statistics;    Spin entanglement;    Spin statistics theorems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/845/1/012030/pdf
DOI  :  10.1088/1742-6596/845/1/012030

来源: IOP

【 摘 要 】

In this article we generalize the spin statistics theorem and show that a state obeys Fermi-Dirac statistics if and only if the state is invariant under the action of SL(n, C). We also briefly discuss the experimental evidence and how the theorem relates to spin entanglement.