<P> so the general solutions have the form: </P> <Dl> <Dd> Ψ (x 1, x 2, ⋯ x N, t) = e − i E t / ħ ψ (x 1, x 2 ⋯ x N) (\ displaystyle \ Psi (x_ (1), x_ (2), \ cdots x_ (N), t) = e ^ (- iEt / \ hbar) \ psi (x_ (1), x_ (2) \ cdots x_ (N))) </Dd> </Dl> <Dd> Ψ (x 1, x 2, ⋯ x N, t) = e − i E t / ħ ψ (x 1, x 2 ⋯ x N) (\ displaystyle \ Psi (x_ (1), x_ (2), \ cdots x_ (N), t) = e ^ (- iEt / \ hbar) \ psi (x_ (1), x_ (2) \ cdots x_ (N))) </Dd> <P> For non-interacting distinguishable particles, the potential of the system only influences each particle separately, so the total potential energy is the sum of potential energies for each particle: </P>

What is the use of schrodinger wave equation