supersolids.Animation.MatplotlibAnimation

Implements an Animation with matplotlib (for Systems in 1D or 2D).

Module Contents

Functions

plot_2d(resolution=32, x_lim = (-1, 1), y_lim = (-1, 1), z_lim = (0, 1), alpha = [0.6], **kwargs)

param resolution

number of grid points in one direction

round_z_to_0(pos, func, tol = 1e-05)

crop_pos_to_limits(ax, pos, func, func_val=None)

get_V_plot_values(ax, pos, V, resolution, reserve = 1.0)

class supersolids.Animation.MatplotlibAnimation.MatplotlibAnimation(Anim)

Bases: supersolids.Animation.Animation.Animation

set_limits(self, row, col, x_min, x_max, y_min, y_max)

Sets the plot limits appropriate, even if the initial wave function \(\psi_0\) is not normalized.

Parameters

  • row (int) – row of the subplot for the animation

  • col (int) – column of the subplot for the animation

  • x_min (float) – minimum x value of subplot

  • x_max (float) – maximum x value of subplot

  • y_min (float) – minimum y value of subplot

  • y_max (float) – maximum y value of subplot

set_limits_smart(self, row, col, System)

Sets the plot limits appropriate, even if the initial wave function \(\psi_0\) is not normalized.

Parameters

  • row (int) – row of the subplot for the animation

  • col (int) – column of the subplot for the animation

  • System (supersolids.Schroedinger.Schroedinger) – Defines the Schroedinger equation for a given problem

get_V_plot_values(self, i, j, System, reserve=1.0)
Parameters
animate(self, frame_index, System, accuracy=10 ** - 6)

Sets the plot limits appropriate, even if the initial wave function \(\psi_0\) is not normalized.

Parameters

  • frame_index (int) – Current index of frame

  • System (supersolids.Schroedinger.Schroedinger) – Defines the Schroedinger equation for a given problem

  • accuracy (float) – Convergence is reached when relative error of mu is smaller than accuracy, where \(\mu = - \log(\psi_{normed}) / (2 dt)\)

start(self, System, accuracy=10 ** - 6)

Sets the plot limits appropriate, even if the initial wave function \(\psi_0\) is not normalized

Parameters

  • accuracy (float) – Convergence is reached when relative error of mu is smaller than accuracy, where \(\mu = - \log(\psi_{normed}) / (2 dt)\)

  • System (supersolids.Schroedinger.Schroedinger) – Defines the Schroedinger equation for a given problem

supersolids.Animation.MatplotlibAnimation.plot_2d(resolution=32, x_lim=(- 1, 1), y_lim=(- 1, 1), z_lim=(0, 1), alpha=[0.6], **kwargs)
Parameters

  • resolution – number of grid points in one direction

  • x_lim (Tuple[float, float]) – Limits of plot in x direction

  • y_lim (Tuple[float, float]) – Limits of plot in y direction

  • z_lim (Tuple[float, float]) – Limits of plot in z direction

  • alpha (List[float]) – alpha value for plot transparency

supersolids.Animation.MatplotlibAnimation.round_z_to_0(pos, func, tol=1e-05)
Parameters

tol (float) –

supersolids.Animation.MatplotlibAnimation.crop_pos_to_limits(ax, pos, func, func_val=None)
supersolids.Animation.MatplotlibAnimation.get_V_plot_values(ax, pos, V, resolution, reserve=1.0)
Parameters

  • resolution (int) –

  • reserve (float) –