# 7: Orbital Angular Momentum

- Page ID
- 15770

- 7.1: Angular Momenum Operators
- In classical mechanics, the vector angular momentum, L, of a particle of position vector \({\bf r}\) and linear momentum \({\bf p}\) is defined...

- 7.2: Representation of Angular Momentum
- Now, we saw earlier, in Section 7.1 that the operators, \(p_i\), which represent the Cartesian components of linear momentum in quantum mechanics, can be represented as the spatial differential operators \(-{\rm i}\,\hbar\,\partial/\partial x_i\). 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, \(Y_{l,m}(\theta,\phi)\), of \(L^2\) and \(L_z\) are known as the spherical harmonics . Let us investigate their functional form.

# Contributors

Richard Fitzpatrick (Professor of Physics, The University of Texas at Austin)

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