159 articles – 2004 references  [version française]
HAL: hal-00739312, version 1

Detailed view  Export this paper
Journal of Physics A: Mathematical and Theoretical 44 (2011) 495201
Holomorphic Hermite polynomials and a non-commutative plane
J.-P. Gazeau1, F. Hugon Szafraniec

One more coherent state quantization of a complex plane is presented. Although the complex plane is equipped with a non-rotationally invariant measure, we still obtain a canonical commutation rule (up to a simple rescaling). We explain how the involved coherent states, built from holomorphic continuations of Hermite polynomials, are related to the non-commutative plane.
1:  APC - UMR 7164 - AstroParticule et Cosmologie
Physics/Mathematical Physics

Mathematics/Mathematical Physics