- #1

- 31

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Psi(x) = sin(pi*x/L)

Since the second deriv. of a wavefunction is proportional to the kin. energy, this would imply that the highest kinetic energy of the particle is exactly in the middle of the box, and zero at the nodes:

d^2Psi/dx^2 = -sin(pi*x/L)

e.g for x = L---> d^2Psi/dx^2 = 0 = Ekin = p^2