- Specifically, the harmonic oscillator potential is equal in both states.
- A system of vibrations in a crystalline solid lattice can be modelled by considering harmonic oscillator potentials along each degree of freedom.
- Hence, we can use a simple harmonic oscillator potential to test the accuracy of Wang Landau algorithm because we know already the analytic form of the density of states.
- Hence, the only potentials that can produce stable, closed, non-circular orbits are the inverse-square force law ( ? = 1 ) and the radial harmonic oscillator potential ( ? = 2 ).
- The ordering of angular momentum levels within each shell is according to the principles described above-due to spin-orbit interaction, with high angular momentum states having their energies shifted downwards due to the deformation of the potential ( i . e . moving from a harmonic oscillator potential to a more realistic one ).