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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
The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra 275
Let us assume that the pairs within a member of A
n,3
are arranged from left-to-right in
decreasing order according to the size of the larger element. Then the generic (i
1
,i
2
)-term in
the sum on the right-hand side of (7.106), where 1 i
1
i
2
n, counts all of the members
of A
n,3
in which the element 2 belongs to the (n i
2
+ 1)th left-most pair and the element 1
belongs to the (n i
1
+ 2)-nd left-most pair. To see this, note that there are
n1
j=i
2
(2j +1)
possibilities for the n i
2
pairs lying to the left of the pair containing the 2 (starting with
the one containing 2n + 2, which is alwa ...
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Publisher Resources

ISBN: 9781466579897