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# The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra

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# The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra

DOI link for The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra

The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra book

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## ABSTRACT

In this chapter we consider normal ordering in three variants of the Weyl algebra: 1) the q-deformed Weyl algebra, 2) the meromorphic Weyl algebra, and 3) the q-deformed meromorphic Weyl algebra.

Before turning to these algebras, we describe in Section 7.1 the much simpler case of the quantum plane having two q-commuting variables U and V satisfying UV = qV U . Here we recall some well-known results ﬁtting in our context of normal ordering. Apart from discussing the case of “generic” q, we also mention a few consequences for the limits q → 0 and q → −1.