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Question: consider two different perturbations to the particleinabox model a2a ...

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Consider two different perturbations to the particle-in-a-box model: a/2a , _ (V, 0 < x < a/2 N, a/2 < x < a Vx (a) For each model, calculate the Ist and 2nd order energy corrections for the ground state, and construct the 1st order corrected ground state wavefunction using the three largest non-zero correction terms (b) Repeat this using the last digit of your student number as n (ie. if your student number ends with a 5, find the corrections for the n -5 state; if your student number ends with a 0 or 1, use n 5 (c) Comment on the similarities and differences between how the two perturbations affect the energy corrections. What is the expected trend as n continues to increase? Explain.

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