Schwinger and Pegg-Barnett approaches and a relationship between angular and Cartesian quantum descriptions: II. Phase spaces

DOI10.1088/0305-4470/35/21/311zbMath1052.81044arXivquant-ph/0202043OpenAlexW2064832158MaRDI QIDQ4465730

M. Ruzzi, Diógenes Galetti

Publication date: 9 June 2004

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0202043

zbMATH Keywords

Fourier transformPegg-Barnett approachWeyl-Wigner operator

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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 (7)

On the discrete Wigner function for $\mathrm{SU(N)}$ ⋮ Continuum quantum systems as limits of discrete quantum systems. IV. Affine canonical transforms ⋮ From the discrete Weyl–Wigner formalism for symmetric ordering to a number–phase Wigner function ⋮ Orbital angular momentum in phase space ⋮ General phase spaces: from discrete variables to rotor and continuum limits ⋮ Theoretical formulation of finite-dimensional discrete phase spaces. I: Algebraic structures and uncertainty principles ⋮ Nonclassical statistical properties of finite-coherent states in the framework of the Jaynes-Cummings model

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