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Consider the space of functions ψ(x) (in general complex). Use the
discretized grid of points xi = ∆xni with some small fixed step ∆x and
integer −N/2 ≤ ni ≤ N/2 with large N → ∞. Show in this grid that
the operator g(x) is a diagonal matrix and that the second derivative
operator P = −d2 /dx2
is a tridiagonal matrix. Write down explicitly
this matrix
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