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Commutation Relations, Normal Ordering, and Stirling Numbers
book

Commutation Relations, Normal Ordering, and Stirling Numbers

by Toufik Mansour, Matthias Schork
September 2015
Intermediate to advanced content levelIntermediate to advanced
528 pages
19h 34m
English
Chapman and Hall/CRC
Content preview from Commutation Relations, Normal Ordering, and Stirling Numbers
Chapter 7
The q-Deformed Weyl Algebra and the
Meromorphic Weyl Algebra
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 mero-
morphic 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.
In Section 7.2, we consider
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Publisher Resources

ISBN: 9781466579897