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3D Schrödinger

3D Schrödinger. Which are the energy levels for a particle in a box with dimensions L x L x L ?. Degeneracy. Spherical coordinates. Quantum numbers and angular momentum. Electron and proton. Around 1930. Atomic spectra. Waterstof. Kwik. Atomic spectra. Balmer. Waterstof.

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3D Schrödinger

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  1. 3D Schrödinger Which are the energy levels for a particle in a box with dimensions L x L x L ?

  2. Degeneracy

  3. Spherical coordinates

  4. Quantum numbers and angular momentum

  5. Electron and proton Around 1930

  6. Atomic spectra Waterstof Kwik

  7. Atomic spectra Balmer Waterstof Rydberg-Ritz Kwik

  8. Bohr’s atomic model (1912)

  9. Bohr’s postulates 1. 2. 3.

  10. The solution Putting this in: …gives us:

  11. Continuation • Classical equations for angular momentum etc. • are no longer valid for quantum particles. • Solving the Schrödinger equation in spherical coordinates with a proper U is necessary. • Y is given by s, p, d and f functions (orbitals)

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