Symplectic manifolds, coadjoint orbits, and mean field theory (Q1081917)
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scientific article; zbMATH DE number 3971812
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symplectic manifolds, coadjoint orbits, and mean field theory |
scientific article; zbMATH DE number 3971812 |
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Symplectic manifolds, coadjoint orbits, and mean field theory (English)
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1986
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The Hartree-Fock equation is a self-consistent model of many-electron states near a positively charged nucleus. A geometrical interpretation of the equation as critical point equation for a function on a complex Grassmann manifold is given. The corresponding time-dependent Hartree-Fock equation is interpreted as Hamiltonian system on the manifold considered as homogeneous symplectic manifold of the unitary group.
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Hamiltonian dynamics
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coadjoint orbits
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Hartree-Fock equation
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Grassmann manifold
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0.7230520844459534
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0.7185664176940918
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