The general form of non-Fock coherent boson states

DOI10.2977/prims/1195171085zbMath0743.46085OpenAlexW2008433921MaRDI QIDQ1813929

Reinhard Honegger, Alfred Rieckers

Publication date: 25 June 1992

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195171085

zbMATH Keywords

Bauer simplexeigenstates of the annihilation operators in their GNS-representationsstates of the boson \(C^*\)-Weyl algebra which satisfy Glauber's coherence condition and are not realizable as density operator

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Coherent states (81R30) Applications of functional analysis in quantum physics (46N50)

Related Items (13)

Quantized radiation states from the infinite Dicke model ⋮ Quantum radiation from a classical point source ⋮ The extremal microscopic coherent boson states ⋮ Inequivalent coherent state representations in group field theory ⋮ The limiting dynamics of an imperfect Bose gas ⋮ On generalized quantum stochastic counting processes ⋮ Coherent states of the \(q\)-canonical commutation relations ⋮ Construction and uniqueness of the C*-Weyl algebra over a general pre-symplectic space ⋮ Why be normal? ⋮ On higher-order coherent states of the Weyl algebra ⋮ Construction of classical and non-classical coherent photon states. ⋮ Operators of the phase. Fundamentals ⋮ Emergent cosmology from quantum gravity in the Lorentzian Barrett-Crane tensorial group field theory model

Cites Work

• The smallest C\(^*\)-algebra for canonical commutation relations
• Decomposition of Positive Sesquilinear Forms and the Central Decomposition of Gauge-Invariant Quasi-Free States on the Weyl-Algebra
• Coherent and Incoherent States of the Radiation Field
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