Answered: (a) Show that a linear combination of… | bartleby

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Consider the following operator
imp
Â=
and the following functions that are both eigenfunctions of this operator.
mm (0) = e²
‚ (ø) =
(a) Show that a linear combination of these functions
d²
dø²
is also an eigenfunction of the operator.
(b) What is the eigenvalue?
-m
imp
c₁e¹m + c₂e²
-imp
-imp
= e

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