Identical particles and permutation group

Identical Quantum Particles and Weak

We examine a recent argument that " identical " quantum particles with an anti-symmetric state (fermions) are weakly discernible objects, just like irreflexively related ordinary objects in situations with perfect symmetry (Black's spheres, for example). We conclude that the argument uses a silent premise that is not justified in the quantum case. 1 Individuality Objects are individuals. One mi...

Identical Particles and Quantum Symmetries

We propose a solution to the problem of compatibility of Bose-Fermi statistics with symmetry transformations implemented by compact quantum groups of Drinfel’d type. We use unitary transformations to conjugate multiparticle symmetry postulates, so as to obtain a twisted realization of the symmetric groups Sn. *A. v. Humboldt-fellow e-mail: Fiore, Schupp @ ls-wess.physik.uni-muenchen.de

Systems of Identical Particles

1 States 1 1.

Entanglement of Identical Particles

QUASI-PERMUTATION REPRESENTATIONS OF SUZtTKI GROUP

By a quasi-permutation matrix we mean a square matrix over the complex field C with non-negative integral trace. Thus every permutation matrix over C is a quasipermutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or of a faithful representation of G by permutation matrices), let q(G) denote the minimal degree of a fai...