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###### Particle with a speed bump Consider our old friend the 1D particle in the box, except...

Particle with a speed bump Consider our old friend the 1D particle in the box, except now with a speed bump in the box so the potential now is given by L and L < x < L 0, Vo 0 x V (x) otherwise (a) Calculate the first order correction to the ground state (n = 1) and first excited state (n = 2) energies (b) Calculate the first order correction to the ground state wave function in terms of n, where n is the quantum number of the states that are included in the perturbation expansion. Can you say if any of the expansion coefficients are zero by symmetry?

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