Operator Identities, Representations of Algebras and the Problem of Normal Ordering
High Energy Physics - Theory
2009-10-22 v1
Abstract
Families of operator identities appeared as a consequence of an existence of finite-dimensional representation of (super) Lie algebras of first-order differential operators and -deformed (quantum) algebras of first-order finite-difference operators are presented. It is shown that those identities can be rewritten in terms of creation/annihilation operators and it leads to a simplification of the problem of the normal ordering in the second quantization method.
Keywords
Cite
@article{arxiv.hep-th/9311123,
title = {Operator Identities, Representations of Algebras and the Problem of Normal Ordering},
author = {Alexander Turbiner and Gerhard Post},
journal= {arXiv preprint arXiv:hep-th/9311123},
year = {2009}
}
Comments
AmsLatex, pp.5, Preprint CRN 93-53 (November 1993)