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Using frist order perturbation theory to the the energy change in the ground state 
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#1
Apr2910, 08:20 AM

P: 7

A particle is in the ground state in a onedimensional box given by the potential
v(x)= 0 for 0<x<a v(x)= inifinity other wise A small perturbation V = V(0)x/a is now introduced. Show, correct to first order in perturbation theory, hat the energy change in the ground state is V(0)/2 the normalised wavefuctions of v(x) are PHi(n)=(sqrt(2/a))sin(n(pi)x/a) i have looked up what i can on perturbation theory, and i can't get to doing this question, if anyone could give me a few pointers on what to do and where to start, that would be great. 


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