Deformation estimates for the Berezin-Toeplitz quantization

L. A. Coburn

doi:10.1007/BF02097632

Deformation estimates for the Berezin-Toeplitz quantization

L. A. Coburn

Mathematics

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

Deformation estimates for the Berezin-Toeplitz quantization of Cⁿ are obtained. These estimates justify the description of CCR+K as a first-order quantum deformation of AP+C₀, where CCR is the usual C^*-algebra of (boson) canonical commutation relations, K is the full algebra of compact operators, AP is the algebra of almost-periodic functions and C₀ is the algebra of continuous functions which vanish at infinity.

Original language	English
Pages (from-to)	415-424
Number of pages	10
Journal	Communications in Mathematical Physics
Volume	149
Issue number	2
DOIs	https://doi.org/10.1007/BF02097632
State	Published - Oct 1992

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title = "Deformation estimates for the Berezin-Toeplitz quantization",

abstract = "Deformation estimates for the Berezin-Toeplitz quantization of Cn are obtained. These estimates justify the description of CCR+K as a first-order quantum deformation of AP+C0, where CCR is the usual C*-algebra of (boson) canonical commutation relations, K is the full algebra of compact operators, AP is the algebra of almost-periodic functions and C0 is the algebra of continuous functions which vanish at infinity.",

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AB - Deformation estimates for the Berezin-Toeplitz quantization of Cn are obtained. These estimates justify the description of CCR+K as a first-order quantum deformation of AP+C0, where CCR is the usual C*-algebra of (boson) canonical commutation relations, K is the full algebra of compact operators, AP is the algebra of almost-periodic functions and C0 is the algebra of continuous functions which vanish at infinity.

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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Deformation estimates for the Berezin-Toeplitz quantization

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