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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.

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The Pauli-principle

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  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)

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