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10 Nov 2019
problem 47 and 48
Since a wavefunction may be complex, it may be represented by = R + iI where i = (-1)1/2. Show that is always real. Show that the function = x e-ax2 is an eigenfunction of the operator d2/dx2 - 4a2x2. What is the eigenvalue? Show that the function = K er/k is an eigenfunction of the operator d/dr. What is the eigenvalue? Derive the expression for the energy of a particle in a one-dimensional box using the de Broglie formula. Calculate the first three energy levels, in kJ mol-1, for an electron in a potential well 0.5 nm in width with infinitely high potential outside.
problem 47 and 48
Since a wavefunction may be complex, it may be represented by = R + iI where i = (-1)1/2. Show that is always real. Show that the function = x e-ax2 is an eigenfunction of the operator d2/dx2 - 4a2x2. What is the eigenvalue? Show that the function = K er/k is an eigenfunction of the operator d/dr. What is the eigenvalue? Derive the expression for the energy of a particle in a one-dimensional box using the de Broglie formula. Calculate the first three energy levels, in kJ mol-1, for an electron in a potential well 0.5 nm in width with infinitely high potential outside.
Nelly StrackeLv2
11 Sep 2019