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H1=P^2/2m+V1(x), H2=P^2/2m+V2(x), H=P^2/2m+V1(x)+V2(x)

and

H1 f1_i(x)=E1_i*f1_i(x),

H2 f2_j(x)=E2_j*f2_j(x),

H f_k(x)=E_k*f_k(x)

Is there any relation between f1_i(x),f2_j(x),f_k(x)?Can we express f_k(x) in terms of f1_i(x) and f2_j(x)?

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# A question about the adding of potential in Schrodinger equation

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