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Classical Mechanics, Second Edition, 2nd Edition
book

Classical Mechanics, Second Edition, 2nd Edition

by Tai L. Chow
May 2013
Intermediate to advanced content levelIntermediate to advanced
639 pages
23h 12m
English
CRC Press
Content preview from Classical Mechanics, Second Edition, 2nd Edition
259Coupled Oscillations and Normal Coordinates
© 2010 Taylor & Francis Group, LLC
Equation 8.34 is generally called the normalization condition. The orthogonality condition 8.31
and normalization condition 8.34 are often combined into one statement by the use of the Kronecker
delta symbol δ
ij
:
ACC
jk jr ks
jk
rs
,
. (8.35)
The vector
C
r
dened in this way constitutes an orthonormal set: the set is orthogonal accord-
ing to Equation 8.31 and has been normalized according to Equation 8.34. The orthogonality and
normalization conditions of Equation 8.35 are of more than academic interest; as we shall see, they
prove useful in establishing the consta ...
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Publisher Resources

ISBN: 9781466569980