A reduced informationally complete set in the \(C^*\)-algebra generated by phase space fuzzy localization operators

DOI10.1007/S10773-015-2642-YzbMath1328.81145OpenAlexW2013400144MaRDI QIDQ904500

Lisa A. Korf, Franklin E. jun. Schroeck

Publication date: 13 January 2016

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-015-2642-y

zbMATH Keywords

\(C^*\)-algebraphase spacequantum mechanicseffect algebrainformational completeness

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (1)

The many problems with quantum mechanics from the earliest days on and how the theory of quantum mechanics on phase space addresses them

Cites Work

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• The best \(L^ 2\)-approximation by finite sums of functions with separable variables
• Coherent states, wavelets and their generalizations
• The phase space formalism for quantum mechanics and \(C^*\) axioms
• Perspectives: Quantum mechanics on phase space
• On the Early History of the Singular Value Decomposition
• Theory of Reproducing Kernels

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