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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
Preface
Very early in my study of physics, Weyl be-
came one of my gods. I use the wor d “god”
rather than, say, “outstanding teacher” for the
ways of gods are mysterious, inscrutable, and
beyond the comprehension of ordinary mor-
tals.
Julian Schwinger
This book gives an introduction to combinatorial aspects of normal ordering in the Weyl
algebra and some of its close relatives. For our considerations, the Weyl algebra is the
complex algebra generated by two letters U and V (with unit I) satisfying the commutation
relation
UV VU = I.
A concrete representation is given by the operators D =
d
dx
and X,where(Xf)(x)=xf(x)
for any function f. In this represent ...
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Publisher Resources

ISBN: 9781466579897