Consider the superposition wave function ½(x) = c sin (™x/a)+ d sin (2πx/a). a. Is & (x) an acceptable wave function for the particle in the box? b. Is (x) an eigenfunction of the total energy operator Â? c. Is (x) normalized?

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Consider the superposition wave function
(x) = c sin (πx/a) + d sin (2πx/a).
a. Is (x) an acceptable wave function for the particle in the box?
b. Is(x) an eigenfunction of the total energy operator Ĥ?
c. Is(x) normalized?
Transcribed Image Text:Consider the superposition wave function (x) = c sin (πx/a) + d sin (2πx/a). a. Is (x) an acceptable wave function for the particle in the box? b. Is(x) an eigenfunction of the total energy operator Ĥ? c. Is(x) normalized?
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