Wigner-Weyl formalisms for toroidal geometries

DOI10.1006/aphy.1994.1016zbMath0794.46056OpenAlexW1964095209WikidataQ62109931 ScholiaQ62109931MaRDI QIDQ1320918

M. Peev, Peter Kasperkovitz

Publication date: 21 August 1994

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aphy.1994.1016

zbMATH Keywords

periodic boundary conditionsmotion on a finite set of pointsmotion on the circle or on an infinite one-dimensional latticemotion on the real lineoperator algebras and their basesphase-space formulation of quantum mechanics due to Weyl and Wigner

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (14)

On the discrete Wigner function for $\mathrm{SU(N)}$ ⋮ Discrete phase-space structures and Wigner functions for \(N\) qubits ⋮ Discrete Wigner–Weyl calculus for the finite lattice ⋮ A family of Weyl-Wigner transforms for discrete variables defined in a finite-dimensional Hilbert space ⋮ Generalized Weyl quantization on the cylinder and the quantum phase ⋮ Precise Wigner-Weyl calculus for lattice models ⋮ DEFORMATION QUANTIZATION OF CLASSICAL FIELDS ⋮ A Time of Arrival Operator on the Circle (Variations on Two Ideas) ⋮ From the Weyl quantization of a particle on the circle to number-phase Wigner functions ⋮ Discrete phase-space structure of \(n\)-qubit mutually unbiased bases ⋮ The Weyl representation on the torus ⋮ Discrete phase space based on finite fields ⋮ On the averaged quantum dynamics by white-noise hamiltonians with and without dissipation ⋮ Topological invariant in terms of the Green functions for the quantum Hall effect in the presence of varying magnetic field

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