Coherent State Measures and the Extended Dobinski relations
Quantum Physics
2017-08-23 v1 Combinatorics
Abstract
Conventional Bell and Stirling numbers arise naturally in the normal ordering of simple monomials in boson operators. By extending this process we obtain generalizations of these combinatorial numbers, defined as coherent state matrix elements of arbitrary monomials, as well as the associated Dobinski relations. These Bell-type numbers may be considered as power moments and give rise to positive measures which allow the explicit construction of new classes of coherent states.
Cite
@article{arxiv.quant-ph/0211061,
title = {Coherent State Measures and the Extended Dobinski relations},
author = {Karol A. Penson and Allan I. Solomon},
journal= {arXiv preprint arXiv:quant-ph/0211061},
year = {2017}
}
Comments
PDF. 10 Pages. Proceedings of the Seventh International School of Theoretical Physics "Symmetry and Structural Properties of Condensed Matter " (SSPCM 2002), Myczkowce, Poland,11-18 Sept. 2002 Editors: T.Lulek and A.Wal (in press)