Show that f is an eigenfunction of L². What is the eigenvalue?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 16CR
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Consider the function
f = kre¯"/2ª sinte-io
where k is constant and the operator
1
β = -h?[:
+ cot0-
coto-
d0 " sin²0 dg²
Show that f is an eigenfunction of L'.
What is the eigenvalue?
Transcribed Image Text:Consider the function f = kre¯"/2ª sinte-io where k is constant and the operator 1 β = -h?[: + cot0- coto- d0 " sin²0 dg² Show that f is an eigenfunction of L'. What is the eigenvalue?
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