Berezin-Type Operators on the Cotangent Bundle of a Nilpotent Group

Autor:	Mantoiu, M.
Rok vydání:	2019
Předmět:	Mathematics - Functional Analysis 22E25 47G30 (Primary) 22E45 46L65 (Secundary)
Druh dokumentu:	Working Paper
Popis:	We define and study coherent states, a Berezin-Toeplitz quantization and covariant symbols on the product between a connected simply connected nilpotent Lie group and the dual of its Lie algebra. The starting point is a Weyl system codifying the natural Canonical Commutation Relations of the system. The formalism is meant to complement the quantization of the cotangent bundle by pseudo-differential operators, to which it is connected in an explicit way. Some extensions are indicated, concerning $\tau$-quantizations and variable magnetic fields. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.02837 Zobrazit plný text záznamu View this record from Arxiv