Quantum systems with finite Hilbert space and Chebyshev polynomials

DOI10.1016/S0377-0427(00)00682-8zbMath0984.81069OpenAlexW2055402359MaRDI QIDQ5946635

A. Vourdas

Publication date: 14 May 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00682-8

zbMATH Keywords

spherical harmonics\(\text{SL}(2,Z(d))\) group\(Z(d)\times Z(d)\) phase spaceangle-angular momentum quantum phase spaceHeisenberg-Weyl group

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)

Related Items (4)

A family of Weyl-Wigner transforms for discrete variables defined in a finite-dimensional Hilbert space ⋮ Quantum phase space from Schwinger's measurement algebra ⋮ Universal maximally entangled states ⋮ Constructing Clifford algebras for windmill and Dutch windmill graphs; a new proof of the friendship theorem

Cites Work

• The Moyal representation for spin
• Variations on a theme of Schwinger and Weyl
• UNITARY OPERATOR BASES
• Eigenvalues and eigenvectors of the finite Fourier transform
• Is computing with the finite Fourier transform pure or applied mathematics?
• Prime decomposition and correlation measure of finite quantum systems
• The angle-angular momentum quantum phase space
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