5. Z 3/2 Solve the hydrogen atom, where the ground state wave function 1 is Zr/ao, where an = /(me e?) is the Bohr radiu

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5 Z 3 2 Solve The Hydrogen Atom Where The Ground State Wave Function 1 Is Zr Ao Where An Me E Is The Bohr Radiu 1 (29.63 KiB) Viewed 66 times

5. Z 3/2 Solve the hydrogen atom, where the ground state wave function 1 is Zr/ao, where an = /(me e?) is the Bohr radius ao (in Gaussian unit). The energy eigenvalue is e z-e me Ео Ze2 2a0 2h2 6. Suppose, in the previous problem, the trial wavefunction takes the form: (a Gaussian) 2 3/2 --(3) e 72/d2 #d2 Hint: 4 22e me Emin 0.85 Eo. 37 Even though the functional form is quite wrong, we still got a good answer within 15%!