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

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

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

interpretation.

B) (10) Calculate the probability you would find the electron in the 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 of the box

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

second wavefunctions. Normalize this new function and then calculate 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.

Expert Solution

genius_generous answered 1 year ago

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