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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 5
The Weyl Algebra, Quantum Theory, and
Normal Ordering
This chapter focuses on the Weyl algebra and the process of normal ordering words in its
generators. We consider an “abstract” version of the Weyl algebra which is characterized
by two generators U and V satisfying the commutation relation UV VU = h for some
h C. More precisely, on the right-hand side of the commutation relation one has hI
where I denotes the identity commuting with U and V (hence, with all words in U and V ).
However, we identify cI with c, and since we are interested in the combinatorial consequences
of the commutation relation this makes no difference. In Chapter
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Publisher Resources

ISBN: 9781466579897