7: Orbital Angular Momentum
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- 7.1: Angular Momenum Operators
- In classical mechanics, the vector angular momentum, L, of a particle of position vector r and linear momentum p is defined...
- 7.2: Representation of Angular Momentum
- Now, we saw earlier, in Section 7.1 that the operators, pi, which represent the Cartesian components of linear momentum in quantum mechanics, can be represented as the spatial differential operators −iℏ∂/∂xi. Let us now investigate whether angular momentum operators can similarly be represented as spatial differential operators.
- 7.5: Eigenvalues of L²
- Consider the angular wavefunction...
- 7.6: Spherical Harmonics
- The simultaneous eigenstates, Yl,m(θ,ϕ), of L2 and Lz are known as the spherical harmonics . Let us investigate their functional form.
Contributors and Attributions
Richard Fitzpatrick (Professor of Physics, The University of Texas at Austin)