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The energy of Slater-determinants

The energy of Slater-determinants. one-electron terms:. two-electron terms:. The energy of Slater-determinants (continued). He ground state:. An example: The He atom. The energy of Slater-determinants (continued). The energy of Slater-determinants (continued). An example: The He atom.

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The energy of Slater-determinants

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  1. The energy of Slater-determinants one-electron terms: two-electron terms:

  2. The energy of Slater-determinants (continued) He ground state: An example: The He atom.

  3. The energy of Slater-determinants (continued)

  4. The energy of Slater-determinants (continued) An example: The He atom. He ground state:

  5. The energy of Slater-determinants (continued) with Coulomb-interaction of two identical electronic charge clouds

  6. The energy of Slater-determinants (continued) He excited state:

  7. The energy of Slater-determinants (continued) with Coulomb-interaction of two electronic charge clouds

  8. The energy of Slater-determinants (continued) This cannot be written as the interaction between electronic charge clouds. It’s called an exchange interaction. Exchange interactions originate from the Pauli-principle and lower the total energy.

  9. The energy of Slater-determinants (continued) kinetic energy and nuclear attraction Coulomb-interaction exchange interaction

  10. The energy of Slater-determinants (continued) closed-shell system:

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