8.10 Apply the variation function = er to the hydrogen atom. Choose the parameter c (which is real) to minimize the variational integral, and calculate the percent error in the ground-state energy. int: -2π [ ø*ødr = [3²" ["* "*° e e-2cr² sino drdodo 0 JO ∞0 : 2 (2TT) = e-2cr² dr ħ² p¹Â q dr = √ ² - 2 ₁ - (c²r²e-²cr – 2cre-2cr) – Ze¹² re-2cr dr Zer21 = 2 (2π) [-2² (2-²) - 202²] 8c3 4c² -2π e-2cr dr ["* sinode [²" d4

8.10 Apply the variation function = er to the hydrogen atom. Choose the parameter c (which is real) to minimize the variational integral, and calculate the percent error in the ground-state energy. int: -2π [ øødr = [3²" [" "° e e-2cr² sino drdodo 0 JO ∞0 : 2 (2TT) = e-2cr² dr ħ² p¹Â q dr = √ ² - 2 ₁ - (c²r²e-²cr – 2cre-2cr) – Ze¹² re-2cr dr Zer21 = 2 (2π) [-2² (2-²) - 202²] 8c3 4c² -2π e-2cr dr [" sinode [²" d4