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## Homework Statement

Consider a quantum particle of mass m in one dimension in an infinite potential well , i.e V(x) = 0 for -a/2 < x < a/2 , and V(x) =∞ for |x| ≥ a/2 . A small perturbation V'(x) =2ε|x|/a , is added. The change in the ground state energy to O(ε) is:

## Homework Equations

The ground state wave function for a particle an symmetric potential well is Ψ=√(2/a) cos(πx/a)

change in energy= <Ψ| V'(x) |Ψ>

## The Attempt at a Solution

change in ground state energy can be calculated using this equation <Ψ| V'(x) |Ψ>