Resolvent algebra in Fock-Bargmann representation

DOI10.1007/978-981-99-6349-2_12arXiv2208.06591OpenAlexW4391411137MaRDI QIDQ6150864

Wolfram Bauer, Robert Fulsche

Publication date: 7 March 2024

Published in: Semigroups, Algebras and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.06591

zbMATH Keywords

correspondence theoryToeplitz algebrainfinite dimensional phase space

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Operator algebras with symbol structure (47L15) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Cites Work

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• Compactness characterization of operators in the Toeplitz algebra of the Fock space \(F^p_\alpha\)
• Correspondence theory on \(p\)-Fock spaces with applications to Toeplitz algebras
• The resolvent algebra: A new approach to canonical quantum systems
• The measure algebra of the Heisenberg group
• Commutative Toeplitz algebras and their Gelfand theory: old and new results
• Fock space on \(\mathbb{C}^\infty\) and Bose-Fock space
• The resolvent algebra: ideals and dimension
• Quantization and the resolvent algebra
• An introduction to infinite-dimensional analysis
• Toeplitz Operators on the Segal-Bargmann Space
• Quantum harmonic analysis on phase space
• Harmonic Analysis in Phase Space. (AM-122)
• One-Parameter Semigroups for Linear Evolution Equations

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