qpe::ProbabilityCurrent2D Class Reference

Computes scalar and gauge-covariant probability current. More...

#include <probabilitycurrent2d.h>

Static Public Member Functions
static ProbabilityCurrentField2D	compute (const ComplexField2D &field, float hbar, float mass)
	Performs compute.
static ProbabilityCurrentField2D	computeGaugeCovariant (const ComplexField2D &field, const U1GaugeField2D &gauge, float hbar, float mass)
	Computes gauge covariant.

Detailed Description

Computes scalar and gauge-covariant probability current.

Without a gauge field QPE evaluates

\[ \mathbf{J} = (\hbar/m)\,\mathrm{Im}(\psi^* \nabla\psi). \]

With U1GaugeField2D, neighboring samples are parallel-transported before the centered derivative so the sampled current obeys the same lattice gauge transformation law as the kinetic propagator.

Definition at line 68 of file probabilitycurrent2d.h.

Member Function Documentation

compute()

ProbabilityCurrentField2D qpe::ProbabilityCurrent2D::compute ( const ComplexField2D & field, float hbar, float mass )

static

Performs compute.

Parameters

field	Field data to read or modify.
hbar	The hbar value used by the operation.
mass	The mass value used by the operation.

Definition at line 28 of file probabilitycurrent2d.cpp.

References qpe::ComplexField2D::dx(), qpe::ProbabilityCurrentField2D::dx, qpe::ComplexField2D::dy(), qpe::ProbabilityCurrentField2D::dy, qpe::ComplexField2D::empty(), qpe::ComplexField2D::height(), qpe::ProbabilityCurrentField2D::height, qpe::ProbabilityCurrentField2D::integratedX, qpe::ProbabilityCurrentField2D::integratedY, qpe::ProbabilityCurrentField2D::jx, qpe::ProbabilityCurrentField2D::jy, qpe::ProbabilityCurrentField2D::maxMagnitude, qpe::ComplexField2D::size(), qpe::ComplexField2D::width(), and qpe::ProbabilityCurrentField2D::width.

Referenced by MainWindow::renderCurrentView(), qpe::tests::runProbabilityCurrent2DTests(), and MainWindow::updateStatusText().

computeGaugeCovariant()

ProbabilityCurrentField2D qpe::ProbabilityCurrent2D::computeGaugeCovariant ( const ComplexField2D & field, const U1GaugeField2D & gauge, float hbar, float mass )

static

Computes gauge covariant.

Parameters

field	Field data to read or modify.
gauge	The gauge value used by the operation.
hbar	The hbar value used by the operation.
mass	The mass value used by the operation.

Definition at line 98 of file probabilitycurrent2d.cpp.

References qpe::ComplexField2D::dx(), qpe::ProbabilityCurrentField2D::dx, qpe::ComplexField2D::dy(), qpe::ProbabilityCurrentField2D::dy, qpe::ComplexField2D::empty(), qpe::ComplexField2D::height(), qpe::ProbabilityCurrentField2D::height, qpe::ProbabilityCurrentField2D::integratedX, qpe::ProbabilityCurrentField2D::integratedY, qpe::ProbabilityCurrentField2D::jx, qpe::ProbabilityCurrentField2D::jy, qpe::U1GaugeField2D::linkX(), qpe::U1GaugeField2D::linkY(), qpe::U1GaugeField2D::matchesGrid(), qpe::ProbabilityCurrentField2D::maxMagnitude, qpe::ComplexField2D::size(), qpe::ComplexField2D::width(), and qpe::ProbabilityCurrentField2D::width.

Referenced by MainWindow::renderCurrentView(), qpe::tests::runProbabilityCurrent2DTests(), and MainWindow::updateStatusText().

---

The documentation for this class was generated from the following files:

• core/quantum/probabilitycurrent2d.h
• core/quantum/probabilitycurrent2d.cpp