Quantum systems with finite Hilbert space: Galois fields in quantum mechanics

DOI10.1088/1751-8113/40/33/R01zbMath1176.81055MaRDI QIDQ5757646

A. Vourdas

Publication date: 7 September 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

zbMATH Keywords

Radon transformfinite fieldHeisenberg-Weyl groupsymplectic transformationsFrobenius transformationFrobenius symmetryWigner and Weyl transformations

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Finite fields (field-theoretic aspects) (12E20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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