Co-Toeplitz Quantization: A Simple Case

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.

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