Martin Greiter's Mapping of Parent Hamiltonians: From Abelian and non-Abelian PDF

By Martin Greiter

ISBN-10: 3642243835

ISBN-13: 9783642243837

ISBN-10: 3642437826

ISBN-13: 9783642437823

This monograph introduces a precise version for a severe spin chain with arbitrary spin S, inclusive of the Haldane--Shastry version because the detailed case S=1/2. whereas spinons within the Haldane-Shastry version obey abelian half-fermi facts, the spinons within the basic version brought the following obey non-abelian statistics. This manifests itself via topological offerings for the fractional momentum spacings. the final version is derived by way of mapping distinct versions of quantized corridor states onto spin chains. The publication starts off with pedagogical overview of the entire suitable versions together with the non-abelian facts within the Pfaffian corridor kingdom, and is comprehensible to each pupil with a graduate path in quantum mechanics.

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