The one-dimensional potential energy, Ur)(in Joules), as a function of distance, r (in m), between two...
Recall that an energy eigenfunction of any central potential V (r) may be writtren as ψn`m(r, θ, φ) = Rn`(r)Y`m(θ, φ). This problem explores the behavior of ψ in the vicinity of the origin r = 0. Recall that the function u(r) = rRn`(r) satisfies the equation − ~ 2 2m d 2u dr2 + ~ 2 `(` + 1) 2mr2 + V (r) u = Eu, (1) where E is the energy eigenvalue. Note that Eq. (1) has the...