AtomicDensityMatrix`
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AMPSPlot[dm]

draws the angularmomentum probability surface for the density matrix dm, where dm is assumed to represent the Zeeman sublevels of a state with angular momentum . AMPSPlot[dec]
draws the angularmomentum probability surface for the sphericaltensor decomposition of a density matrix.

Details and Options

    The angular-momentum probability surface represents the probability of measuring the maximum projection of angular momentum in a given direction. It is the quantum analog of the classical angular-momentum distribution for an ensemble.

  • AMPSPlot[dm] is equivalent to SphericalPlot3D[MaxProjectionProbability[dm,th,ph],{th,0,Pi},{ph,0,2Pi}].
  • AMPSPlot takes the same options as SphericalPlot3D, with the following changes to the defaults:
  • AxesFalsewhether to draw axes
    BoxedFalsewhether to draw the bounding box
    PlotRangeAllrange of values to include

Examples

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Basic Examples  (1)

Angular-momentum probability surface for a density matrix for a state with alignment along :

The AMPS plot for the spherical-tensor decomposition of the same density matrix:

Options  (1)

Mesh  (1)

Remove the mesh:

Properties & Relations  (1)

Axes3D can be used to add axes to the plot: