Quantum Mechanics Solution Manual
© Leon van Dommelen
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9.1 The Variational Method
9
. Numerical Procedures
Subsections
9
.
1
The Variational Method
9
.
1
.
1
Basic variational statement
9
.
1
.
2
Differential form of the statement
9
.
1
.
3
Using Lagrangian multipliers
9
.
2
The Born-Oppenheimer Approximation
9
.
2
.
1
The Hamiltonian
9
.
2
.
2
Basic Born-Oppenheimer approximation
9
.
2
.
3
Going one better
9
.
3
The Hartree-Fock Approximation
9
.
3
.
1
Wave function approximation
9
.
3
.
2
The Hamiltonian
9
.
3
.
3
The expectation value of energy
9
.
3
.
4
The canonical Hartree-Fock equations
9
.
3
.
5
Additional points
9
.
3
.
5
.
1
Meaning of the orbital energies
9
.
3
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5
.
2
Asymptotic behavior
9
.
3
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5
.
3
Hartree-Fock limit
9
.
3
.
5
.
4
Correlation energy
9
.
3
.
5
.
5
Configuration interaction
Next:
9.1 The Variational Method
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