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**1. Calculate the first-order correction to [tex]E^{3}_{(0)}[/tex] for a particle in a one-dimensional box with walls at x = 0 and x = a due to the following perturbations:**

**(a) H' = [tex]10^{-3}[/tex][tex]E_{1}[/tex]x/a**

**(b) H' = [tex]10^{-3}[/tex][tex]E_{1}[/tex]sin(x/a)**

## The Attempt at a Solution

The only attempt that I have made is to start with the equation [tex]E_{n}[/tex]=[tex]E^{(0)}_{n}[/tex]+[tex]H'_{nn}[/tex]. But I have not really gotten anywhere with it. Does anyone have any ideas where to start with this question?