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Co-Toeplitz Quantization: A Simple Case

2018/10/27 by Stephen Bruce Sontz, Sontz, Stephen Bruce
Mathematics · Physics and Astronomy · #47B99 #81S99 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:47B99 #msc:81S99

paper · pdf · doi:10.48550/arxiv.1810.11727

6 pages; submitted to the Proceedings of the Workshop on Geometric Methods in Physics (WGMP) XXXVII, Bialowieza, Poland, 2018

arxiv created 2018/10/27 · arxiv updated 2018/10/30

Abstract

The author has introduced in a recent paper a new class of operators, called co-Toeplitz operators, with symbols in a co-algebra. This is the categorical dual to Toeplitz operators which have symbols in an algebra. The mapping from a symbol to its co-Toeplitz operator gives a quantization scheme, called co-Toeplitz quantization. A new, quite simple particular case of co-Toeplitz quantization is introduced in this note. Examples are given in order to show some of its properties.

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