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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...
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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
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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...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1995
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/28/8/003