A quantum mechanical particle is confined to a one-dimensional infinite potential well described by the function V(x) = 0 in the region 0 < x < L, V(x) = ∞ elsewhere. The normalised eigenfunctions for a particle moving in this potential are: Yn(x) = = NTT sin -X Vī L where n = 1, 2, 3, ... a) Write down the expression for the corresponding probability density function. Sketch the shape of this function for a particle in the ground state (n = 1).
A quantum mechanical particle is confined to a one-dimensional infinite potential well described by the function V(x) = 0 in the region 0 < x < L, V(x) = ∞ elsewhere. The normalised eigenfunctions for a particle moving in this potential are: Yn(x) = = NTT sin -X Vī L where n = 1, 2, 3, ... a) Write down the expression for the corresponding probability density function. Sketch the shape of this function for a particle in the ground state (n = 1).
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