1 / 11

The Pauli-principle

The Pauli-principle. for any physical quantity . bosonen. fermionen. The Pauli-principle (continued). A wavefunction must be antisymmetric under permutation of any two electrons. The Pauli-principle (continued). orbitals. How to construct an antisymmetric wavefunction?. does not work.

abena
Télécharger la présentation

The Pauli-principle

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The Pauli-principle for any physical quantity bosonen fermionen

  2. The Pauli-principle (continued) A wavefunction must be antisymmetric under permutation of any two electrons.

  3. The Pauli-principle (continued) orbitals How to construct an antisymmetric wavefunction? does not work

  4. The Pauli-principle (continued) How to construct an antisymmetric wavefunction? Slater-determinant:

  5. The Pauli-principle (continued) electron: particle with integer spin: boson particle with half-integer spin: fermion spin-orbital: (spatial) orbital:

  6. The Pauli-principle (continued) Two non-interacting fermions in a box.

  7. The Pauli-principle (continued) (Two non-interacting fermions in a box) one-particle energies and wavefunctions two-particle energies and wavefunctions

  8. The Pauli-principle (continued) (Two non-interacting fermions in a box) What is the joint probability function of the positions?

  9. The Pauli-principle (continued) (Two non-interacting fermions in a box) joint probability function of the positions:

  10. The Pauli-principle (continued) (Two non-interacting fermions in a box)

  11. The Pauli-principle (continued) (Two non-interacting fermions in a box)

More Related