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A) Plot the first five particle in a box wavefunctions for an electron in a 10...

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Question

Physics

A) Plot the first five particle in a box wavefunctions for anelectron in a 10 Ã… box

(starting at n = 1). Choose two of these and plot theirprobability density. Offer a brief

interpretation.

B) (10) Calculate the probability you would find the electron inthe right-hand . of the

box (right-hand meaning larger values of the spatial variable)if the electron were

described by your fifth wavefunction (highest energy where n =5). Calculate the

probability you would find the electron in the left-hand 1/4 ofthe box

C) (15) Suppose your electron were described as an equalsuperposition of the first and

second wavefunctions. Normalize this new function and thencalculate the probability

you would find the electron in the right-hand 1/4 of the box.Calculate the probability

you would find the electron in the left-hand 1/4 of the box.

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