Enlarged test-function spaces for the global free folia dynamics on the CCR-algebra

DOI10.1063/1.532377zbMath0923.46068OpenAlexW2050231083MaRDI QIDQ4213021

Reinhard Honegger

Publication date: 7 October 1998

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

Full work available at URL: https://doi.org/10.1063/1.532377

zbMATH Keywords

Bose-Einstein condensationtime evolutionGibbs statesHeisenberg pictureSchrödinger picture\(W^*\)-dynamical systemBogoliubov automorphismsBose fields\(C^*\) closure of the Weyl algebraclassical, coherent, and squeezed states

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of operator algebras to the sciences (47L90) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in statistical physics (46N55)

Related Items (1)

Construction and uniqueness of the C*-Weyl algebra over a general pre-symplectic space

Cites Work

• \(W^*\)-dynamics of infinite quantum systems
• On the dynamics and the temperature states of the spin-boson model
• On higher-order coherent states of the Weyl algebra
• On the continuous extension of states on the CCR algebra
• The smallest C\(^*\)-algebra for canonical commutation relations
• Time-asymptotic boson states from infinite mean field quantum systems coupled to the boson gas
• Nets of \(C^*\)-algebras and classification of states
• Decomposition of Positive Sesquilinear Forms and the Central Decomposition of Gauge-Invariant Quasi-Free States on the Weyl-Algebra
• Implementation of automorphism groups in certain representations of the canonical commutation relations
• Global cocycle dynamics for infinite mean field quantum systems interacting with the boson gas
• Squeezing Bogoliubov transformations on the infinite mode CCR-algebra

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