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Caculating ground state energy using GTO

  1. Oct 10, 2015 #1
    Using the single-electron wave function ψ(r) = N*exp( −ζr2 ) with ζ a variational parameter, how can we calculate the best approximation for the ground state energy of the hydrogen atom?
     
  2. jcsd
  3. Oct 10, 2015 #2

    blue_leaf77

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    What do you know about "variational principle"?
     
  4. Oct 10, 2015 #3
    Just beginning the subject
     
  5. Oct 10, 2015 #4

    blue_leaf77

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    Variational principle can be used to calculate the upper bound of the ground state of a system. This is because
    $$
    \langle \psi | H | \psi \rangle \geq E_g
    $$
    where ##\psi## is an arbitrary normalized state and ##E_g## the system's ground state whose Hamiltonian is ##H##.
     
  6. Oct 10, 2015 #5
    Thank you. I was really lost. now I will work on the variational method to solve the homework . Thanks :-)
     
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