Diagonal harmonious state representations
type: Item
instance of: scholarly article
title: Diagonal harmonious state representations
zbMATH Open document ID: 0792.46061
DOI: 10.1007/BF00671789
author: E. C. G. Sudarshan
published in: International Journal of Theoretical Physics
publication date: 1994-07-21T00:00:00Z
review text: Let \(\{| u\rangle, n\in\mathbb{N}\}\) be the canonical basis in \(\ell^ 2(\mathbb{N})\). For \(z\) in the unit disk of the complex plane, define the ``harmonious state'': \(| z)=\sum_{n\geq 0} z^ n| n\rangle\). Formal representations of operators on \(\ell^ 2(\mathbb{N})\) in terms of the overcomplete set \(| z)\), analogous to the familiar coherent state representations, are written down.
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 81R30
Mathematics Subject Classification ID: 81S30
zbMATH DE Number: 465567
zbMATH Keywords: harmonious state
reviewed by: Nicolae Angelescu
MaRDI profile type: Publication
cites work: On a Hilbert space of analytic functions and an associated integral transform part I
cites work: Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
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description: scientific article; zbMATH DE number 465567