Determine in each of the following cases if the function in the first column is an eigenfunction

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Determine in each of the following cases if the function in the first column is an eigenfunction of the operator in the second column. If so, what is the eigenvalue?

a. x2………………..x2 / 8 d2/dx2

b. x3 + y3………….. x3(∂3 / ∂x3) + y3 (∂3 / 2y3)

c. sin 2θ cos∅…………………. ∂4 / ∂θ4

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Physical Chemistry

ISBN: 978-0321812001

3rd edition

Authors: Thomas Engel, Philip Reid

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