Co-Toeplitz operators and their associated quantization

DOI10.1007/s43036-019-00033-wzbMath1501.47048arXiv1708.01979OpenAlexW2998904765MaRDI QIDQ782529

Stephen Bruce Sontz

Publication date: 27 July 2020

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.01979

zbMATH Keywords

creation and annihilation operatorsco-Toeplitz operatorco-Toeplitz quantisationsecond quantisation

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operators on Hilbert spaces (general) (47B02)

Cites Work

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• Principal bundles. The quantum case
• An Excursion into Berezin–Toeplitz Quantization and Related Topics
• Toeplitz Quantization for Non-commutating Symbol Spaces such as SU_q(2)
• Toeplitz Operators on the Segal-Bargmann Space
• On a Hilbert space of analytic functions and an associated integral transform part I
• Paragrassmann algebras as quantum spaces, Part II: Toeplitz Operators
• Toeplitz Quantization without Measure or Inner Product
• Fock representations of Q-deformed commutation relations
• A Reproducing Kernel and Toeplitz Operators in the Quantum Plane

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