27/04/2018: S-Wave Phase Shift, Spherical Well

Algebraic Approach

Solve for δ:

PhaseShiftFinal_1.png

PhaseShiftFinal_2.png

Express in terms of dimensional less parameters where ka is y and S is x

PhaseShiftFinal_3.png

1-D Plots

Plot the Phase Shift

PhaseShiftFinal_4.png

PhaseShiftFinal_5.gif

Fix the discontinuity by plotting δ modulo-π:

PhaseShiftFinal_6.png

PhaseShiftFinal_7.gif

Contour Plot

Make the Contour Plot, remembering to use a lot of PlotPoints to capture the more irregular artifacts:

PhaseShiftFinal_8.png

Graphics:S-wave Phase Shift, Spherical Well Potential

PhaseShiftFinal_10.gif

Graphics:S-wave Phase Shift, Spherical Well Potential

PhaseShiftFinal_12.png

Graphics:S-wave Phase Shift, Spherical Well Potential

PhaseShiftFinal_14.png

Graphics:S-wave Phase Shift, Spherical Well Potential

PhaseShiftFinal_16.png

PhaseShiftFinal_17.png

PhaseShiftFinal_18.gif

Created with the Wolfram Language