Noncommutative reading of the complex plane through Delone sequences

DOI10.1063/1.3095772zbMath1215.81053arXiv0811.4400OpenAlexW2052104041MaRDI QIDQ3650525

Lubka Balkova, Ken Sekimoto, M. A. Rego-Monteiro, Evaldo M. F. Curado, Ligia M. C. S. Rodrigues, Jean-Pierre Gazeau, Syed Twareque Ali

Publication date: 14 December 2009

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

Full work available at URL: https://arxiv.org/abs/0811.4400

zbMATH Keywords

probabilityHilbert spacesharmonic oscillatorsSchrödinger equationquantization

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (2)

On a generalization of the binomial distribution and its Poisson-like limit ⋮ Quantizations from reproducing kernel spaces

Cites Work

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• Deformed scalar quantum electrodynamics as a phenomenological model for composite scalar particles
• A Two-Parameter Family of Hyper-Poisson Distributions

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