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arXiv · hep-th/9311123

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

Alexander Turbiner·Gerhard Post
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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 $q$-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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Alexander Turbiner, Gerhard Post. 1993-11-20. Operator Identities, Representations of Algebras and the Problem of Normal Ordering. https://doi.org/10.1088/0305-4470%2F27%2F2%2F002

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