id author title date pages extension mime words sentences flesch summary cache txt work_yurt6zjecrgudapbjpd7nzuxui Joshua Norton Weak Discernibility and Relations between Quanta 2015 17 .pdf application/pdf 5241 354 68 In their paper, "Discerning Fermions," Muller and Saunders (2008) argue that identical particles Quantum mechanics challenges the truth of Leibniz's principle in that identical particles in states like the singlet state (4) are thought to be distinct particles and yet have no property to discern Though identical particles fail to be strongly discernible, Muller and Saunders claim that they and yet in order to justify its application to the singlet state we need an 'opposite spin'-observable though far from obvious, is that there is a one-to-one mapping from physical properties to quantum mechanical hermitian operators (observables), such that if a state Ψ is the ith eigenvector of According to Muller and Saunders, the following are the conditions for ascribing a physical relation 7According to Muller and Saunders "We represent a quantitative physical property mathematically the properties and relations to be physically meaningful" (Muller and Saunders, 527). of the singlet state that the particles have opposite spin. ./cache/work_yurt6zjecrgudapbjpd7nzuxui.pdf ./txt/work_yurt6zjecrgudapbjpd7nzuxui.txt