Consider the He₂+ diatomic ion. Set up the Hamiltonian for the system, labeling the atomic nuclei with capital letters (e.g. X, Y = A, B, ...) and the electrons with numbers (i, j = 1, 2, ...). Indicate how many terms of the following types are present in the electronic Hamiltonian, written in atomic units. Assume the Born-Oppenheimer approximation. In each case, enter an integer value: - 12/28/²0 i #Y/~ 1 ij 4 R Xi XY

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Consider the He2 diatomic ion. Set up the Hamiltonian for the
system, labeling the atomic nuclei with capital letters (e.g. X, Y = A, B,
...) and the electrons with numbers (i, j = 1, 2, ...). Indicate how many
terms of the following types are present in the electronic Hamiltonian,
written in atomic units. Assume the Born-Oppenheimer
approximation.
In each case, enter an integer value:
- 1/2/2017/²2
V
i
r
~|-*
4
R
Xi
XY
Transcribed Image Text:+ Consider the He2 diatomic ion. Set up the Hamiltonian for the system, labeling the atomic nuclei with capital letters (e.g. X, Y = A, B, ...) and the electrons with numbers (i, j = 1, 2, ...). Indicate how many terms of the following types are present in the electronic Hamiltonian, written in atomic units. Assume the Born-Oppenheimer approximation. In each case, enter an integer value: - 1/2/2017/²2 V i r ~|-* 4 R Xi XY
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