Maybe it seems so easy, but it is not!
How can we obtain the normalization constant N for a set of eigenfunctions with different domains?
For example, we have
ψ1=N(f1e−κx+g1eκx),x∈[0,1],ψ2=N(f2e−κx+g2eκx),x∈[0,1],ψ3=N(f3e−κx+g3eκx),x∈[−1,0],ψ4=N(f4e−κx+g4eκx),x∈[−1,0]..
we can normalize each wavefunction by the integral ∫x2x1ψ∗ψdx=1, but that way, the other eigenfunctions are not normalized to one!
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