Question: Consider the circular polar coordinates {, } of Fig. 24.3 and their associated bases. (a) Evaluate the commutation coefficients c for the coordinate

Consider the circular polar coordinates {ω̅, ∅} of Fig. 24.3 and their associated bases.
(a) Evaluate the commutation coefficients cαβρ for the coordinate basis

{,}, e

and also for the orthonormal basis

image

(b) Compute by hand the connection coefficients for the coordinate basis and also for the orthonormal basis, using Eqs. (24.38).

(c) Repeat this computation using symbolic manipulation software on a computer.


Figure 24.3.

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Equations 24.38.

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{,}, e

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