GradientLinearCombinationHAWP¶

About the `GradientLinearCombinationHAWP` class¶

The WaveBlocks Project

Inheritance diagram¶

Class documentation¶

class WaveBlocksND.GradientLinearCombinationHAWP[source]¶

This class implements the computation of the action of the gradient operator $-i \varepsilon^2 \nabla_x$ applied to a linear combination $\Upsilon$ of Hagedorn wavepackets $\Psi$ .

apply_gradient(lincomb, component=None)[source]¶

Compute the effect of the gradient operator $-i \varepsilon^2 \nabla_x$ on the linear combination $\Upsilon$ of Hagedorn wavepackets $\Psi$ .

Parameters:	lincomb (A `LinearCombinationOfHAWPs` instance.) – The linear combination $\Upsilon$ . component (Integer or `None`.) – The index $i$ of the component $\Phi_i$ .
Returns:	One linear combination $\Upsilon_d$ containing the gradients for the component $\partial_{x_d}$ for each space dimension component $d = 1, \ldots, D$ .