Permutation operators in Hilbert space gained via the IWOP technique-fermion case
- 21 August 1989
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (16) , 3423-3428
- https://doi.org/10.1088/0305-4470/22/16/031
Abstract
For the case of fermions, permutation operators in Hilbert space are derived in terms of the fermion coherent state and the technique of integration within ordered products with the integration variables being Grassmann numbers. These operators are shown to be quantum maps imaged by a certain permutation transformation of the numbers. Some new Fermi operator identities are also obtained with the use of the same technique.Keywords
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