1. Density of orbitals in one and two dimensions. (a) Show that the density of orbitals of a free electron in one dimension is D;(e) = (L/n)(2m/h?e};2 . (86) where L is the length of the line. (b) Show that in two dimensions, for a square of area A, Đ2(t) = Am/th? . (87) independent of ɛ.
1. Density of orbitals in one and two dimensions. (a) Show that the density of orbitals of a free electron in one dimension is D;(e) = (L/n)(2m/h?e};2 . (86) where L is the length of the line. (b) Show that in two dimensions, for a square of area A, Đ2(t) = Am/th? . (87) independent of ɛ.
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