The hydrogen atom radial Hamiltonian can be written in atomic units as1_ª (r² - )2r²Ĥ=1√2πdx =12ß1 a2r² ər1-, corresponding to the normalized eigenfunction,with its lowest eigenvalue, E100100 (r, 0.4) =er. In the last equality for F, we have substituted f = 0 (s-orbital).(a) Use a Gaussian function, (r) = e-ar²/2, to represent this lowest eigenstate and findan expression for the lowest energy level as a function of the parameter, a. Note thatSººxxe-Br250⁰0 3 x¹e-³x² dx3 T8l(l + 1) 12r²r+==√° x²e-³x² dx =42²017) - 1²/3arTLB3=B5

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Answered: The hydrogen atom radial Hamiltonian 1…

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