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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 6
Normal Ordering in the Weyl Algebra
Further Asp ects
This chapter continues the study of normal ordering in the Weyl algebra which we began
in Chapter 5. In Section 6.1, normal ordering in the “abstract” Weyl algebra (generated by
generators U and V satisfying UV VU = h) is treated and many results are collected,
some of which were already discussed in preceding chapters. Among the results we discuss
are Viskov’s identity, the connection of normal ordering to rook numbers and the identity of
Bender, Mead, and Pinsky. Turning to the extended Weyl algebra allowing formal series
in the generators –, several classical results (due to Cr
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Publisher Resources

ISBN: 9781466579897