Physics · Quantum Mechanics

The ground state eigenfunction for the potential V(x) = -δ(x), where δ(x) is the Dirac delta function, is given by ψ(x) = A e-α|x|, where A and α > 0 are constants. If a perturbation H' = bx4 is applied, the first-order correction to the energy of the ground state will be: