Operator Identities, Representations of Algebras and the Problem of Normal Ordering

Details Operator Identities, Representations of Algebras and the Problem of Normal Ordering Operator Identities, Representations of Algebras and the Problem of Normal Ordering

1993-11-20

arxiv.org/abs/hep-th/9311123v1

J.Phys. A27 (1994) L9-L14

Physics

High Energy Physics

High Energy Physics - Theory

AmsLatex, pp.5, Preprint CRN 93-53 (November 1993)

Scientific paper

10.1088/0305-4470/27/2/002

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 $q$-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.

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