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| documentation:standard_operators:orbital_angular_momuntum:start [2016/10/06 07:56] – created Maurits W. Haverkort | documentation:standard_operators:orbital_angular_momuntum:start [2017/02/23 17:26] (current) – Maurits W. Haverkort | ||
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| + | {{indexmenu_n> | ||
| + | ====== Orbital angular momentum operators (L) ====== | ||
| + | ### | ||
| + | The angular momentum operators need as a basis set two lists defining the spin up and spin down orbitals. These lists must have length 2l+1 whereby l is the angular momentum of the shell under consideration. The orbital quantum numbers ml=−l to ml=l are assigned to the spin-orbitals in both lists in the same order. The basis: | ||
| + | <code Quanty Example.Quanty> | ||
| + | IndexDn = {0,2,4} | ||
| + | IndexUp = {1,3,5} | ||
| + | </ | ||
| + | thus defines a p shell (due to the 3-fold degeneracy) and spin-orbital 0 has the quantum numbers l=1, ml=−1 and σ=−1/2. The standard basis used is the basis of complex spherical harmonics for the angular part, as defined in section ???. | ||
| + | ### | ||
| + | |||
| + | ===== Table of contents ===== | ||
| + | {{indexmenu> | ||
