PhaseSpaceLattice¶

About the `PhaseSpaceLattice` class¶

The WaveBlocks Project

Inheritance diagram¶

Class documentation¶

class WaveBlocksND.PhaseSpaceLattice(potential, energy, energydelta, eps, D)[source]¶

A phase space lattice centered around an energy $E_0$ and bounded by an energy delta $\Delta E$ .

__init__(potential, energy, energydelta, eps, D)[source]¶

Configure a new phase space lattice centered around an energy $E_0$ and bounded by an energy delta $\Delta E$ . The actual lattice points are computed by the member function compute_lattice().

Parameters:

potential (Not a MatrixPotential instance but possible a (partially evaluated) member method like evaluate_at() or any scalar valued function.) – The potential $V$ .
energy – The energy $E_0$ around which to center the lattice points.
energydelta – The energy delta $\Delta E$ .
eps – The semiclassical scaling parameter $\varepsilon$ .
D – The dimensionality $D$ of position space.

compute_lattice(qlimits, plimits)[source]¶

Compute the lattice points. Search for valid points an a hypercubic region of phase space given by limits for position $q$ and momentum $p$ .

Parameters:	qlimits (A list of pairs of floats.) – The position limits $q^d_{\mathrm{min}}$ and $q^d_{\mathrm{max}}$ for all dimensions $d \in [0,\ldots,D-1]$ . plimits (A list of pairs of floats.) – The momentum limit $p^d_{\mathrm{min}}$ and $p^d_{\mathrm{max}}$ for all dimensions $d \in [0,\ldots,D-1]$ .