ThePEG::Helicity::SpinorWaveFunction Class Reference

#include <SpinorWaveFunction.h>

Inheritance diagram for ThePEG::Helicity::SpinorWaveFunction:

List of all members.

Public Member Functions

void conjugate ()

Take the conjugate of the spinor $u_c=C\bar{u}^T$ .

SpinorBarWaveFunction bar ()

Return the barred spinor.

void transform (const LorentzRotation &r)

Perform the Lorentz transformation of the wave function.

Standard constructors and destructors.

SpinorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, complex< double > s1, complex< double > s2, complex< double > s3, complex< double > s4)

Constructor, set the momentum and the components of the spinor.

SpinorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, const LorentzSpinor< double > &wave, Direction dir=intermediate)

Constructor, set the momentum and the wavefunction.

SpinorWaveFunction (const tPPtr &p, const LorentzSpinor< SqrtEnergy > &wave, Direction dir=intermediate)

Constructor, set the momentum and the wavefunction.

SpinorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, unsigned int ihel, Direction dir)

Constructor, set the momentum, helicity, direction.

SpinorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, Direction dir)

Constructor, set the momentum, direction, zero the wavefunction.

SpinorWaveFunction ()

Default constructor.

SpinorWaveFunction (vector< SpinorWaveFunction > &wave, tPPtr part, Direction dir, bool time, bool=true)

Special for spin correlations.

complex< double > operator() (int i) const

Access to the wavefunction and its components.

const LorentzSpinor< double > & wave () const

Return wavefunction as LorentzSpinor<double>.

LorentzSpinor< SqrtEnergy > dimensionedWave () const

Return wavefunction as LorentzSpinor<SqrtEnergy>.

complex< double > s1 () const

Get the first spin component component.

complex< double > s2 () const

Get the second spin component component.

complex< double > s3 () const

Get the third spin component component.

complex< double > s4 () const

Get the fourth spin component component.

void reset (unsigned int ihel)

Reset functions.

Static Public Member Functions

static void calculateWaveFunctions (vector< LorentzSpinor< SqrtEnergy > > &waves, tPPtr particle, Direction)

Calculate the wavefunctions.

static void calculateWaveFunctions (vector< SpinorWaveFunction > &waves, tPPtr particle, Direction)

Calculate the wavefunctions.

static void calculateWaveFunctions (vector< LorentzSpinor< SqrtEnergy > > &waves, RhoDMatrix &rho, tPPtr particle, Direction)

Calculate the wavefunctions.

static void calculateWaveFunctions (vector< SpinorWaveFunction > &waves, RhoDMatrix &rho, tPPtr particle, Direction)

Calculate the wavefunctions.

static void constructSpinInfo (const vector< LorentzSpinor< SqrtEnergy > > &waves, tPPtr part, Direction dir, bool time)

Construct the SpinInfo object.

static void constructSpinInfo (const vector< SpinorWaveFunction > &waves, tPPtr part, Direction dir, bool time)

Construct the SpinInfo object.

Private Member Functions

void calculateWaveFunction (unsigned int ihel)

Calcuate the wavefunction.

LorentzSpinor< SqrtEnergy > dimensionedWf () const

Return wavefunction as LorentzSpinor<SqrtEnergy>.

Private Attributes

LorentzSpinor< double > _wf

Storage of the Lorentz Spinor.

Detailed Description

Author:: Peter Richardson

The SpinorWaveFunction class is designed to store the wavefunction of a spinor in a form suitable for use in helicity amplitude calculations of the matrix element using a similar philosophy to the FORTRAN HELAS code.

In addition to storing the spinor using the LorentzSpinor class it inherits from the WaveFunctionBase class to provide storage of the momentum and getParticleData for the fermion.

This class also contains the code which does the actually calculation of the spinor for an external particle.

When calculating the wavefunction the direction of the particle is used,

i.e.

incoming calculates a spinor.
outgoing calculates a spinor.

N.B. In our convention 0 is the $-\frac12$ helicity state and 1 is the $+\frac12$ helicity state

See also:

WaveFunctionBase

LorentzSpinor

HelicityDefinitions

Definition at line 56 of file SpinorWaveFunction.h.

Constructor & Destructor Documentation

ThePEG::Helicity::SpinorWaveFunction::SpinorWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		complex< double >	s1,
		complex< double >	s2,
		complex< double >	s3,
		complex< double >	s4
	)			`[inline]`

Constructor, set the momentum and the components of the spinor.

Parameters:

	p	The momentum.
	part	The ParticleData pointer.
	s1	The first component
	s2	The second component
	s3	The third component
	s4	The fourth component

Definition at line 71 of file SpinorWaveFunction.h.

References ThePEG::Helicity::WaveFunctionBase::iSpin().

ThePEG::Helicity::SpinorWaveFunction::SpinorWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		const LorentzSpinor< double > &	wave,
		Direction	dir = `intermediate`
	)			`[inline]`

Constructor, set the momentum and the wavefunction.

Parameters:

	p	The momentum.
	part	The ParticleData pointer.
	wave	The wavefunction.
	dir	The direction of the particle

Definition at line 85 of file SpinorWaveFunction.h.

References ThePEG::Helicity::WaveFunctionBase::iSpin().

ThePEG::Helicity::SpinorWaveFunction::SpinorWaveFunction	(	const tPPtr &	p,
		const LorentzSpinor< SqrtEnergy > &	wave,
		Direction	dir = `intermediate`
	)			`[inline]`

Constructor, set the momentum and the wavefunction.

Parameters:

	p	The particle
	wave	The wavefunction.
	dir	The direction of the particle

Definition at line 99 of file SpinorWaveFunction.h.

References _wf, and ThePEG::Helicity::WaveFunctionBase::iSpin().

ThePEG::Helicity::SpinorWaveFunction::SpinorWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		unsigned int	ihel,
		Direction	dir
	)			`[inline]`

Constructor, set the momentum, helicity, direction.

Parameters:

	p	The momentum.
	part	The ParticleData pointer.
	ihel	The helicity (0,1 as described above.)
	dir	The direction.

Definition at line 115 of file SpinorWaveFunction.h.

References calculateWaveFunction(), and ThePEG::Helicity::WaveFunctionBase::iSpin().

ThePEG::Helicity::SpinorWaveFunction::SpinorWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		Direction	dir
	)			`[inline]`

Constructor, set the momentum, direction, zero the wavefunction.

Parameters:

	p	The momentum.
	part	The ParticleData pointer.
	dir	The direction.

Definition at line 131 of file SpinorWaveFunction.h.

References ThePEG::Helicity::WaveFunctionBase::iSpin().

Member Function Documentation

complex<double> ThePEG::Helicity::SpinorWaveFunction::operator() ( int i ) const [inline]

Access to the wavefunction and its components.

Subscript operator for the wavefunction.

Definition at line 162 of file SpinorWaveFunction.h.

References _wf.

void ThePEG::Helicity::SpinorWaveFunction::conjugate ( ) [inline]

Take the conjugate of the spinor $u_c=C\bar{u}^T$ .

This operation transforms u-spinors to v-spinors and vice-versa and is required when dealing with majorana particles.

Definition at line 203 of file SpinorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzSpinor< Value >::conjugate().

void ThePEG::Helicity::SpinorWaveFunction::reset ( unsigned int ihel ) [inline]

Reset functions.

Reset the helicity (calculates the new spinor).

Parameters:

ihel

The helicity (0,1 as described above.)

Definition at line 220 of file SpinorWaveFunction.h.

References calculateWaveFunction().

void ThePEG::Helicity::SpinorWaveFunction::calculateWaveFunction ( unsigned int ihel ) [private]

Calcuate the wavefunction.

Parameters:

ihel

The helicity (0,1 as described above.)

Referenced by reset(), and SpinorWaveFunction().

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

SpinorWaveFunction.h


Public Member Functions
void	conjugate ()
	Take the conjugate of the spinor $u_c=C\bar{u}^T$ .
SpinorBarWaveFunction	bar ()
	Return the barred spinor.
void	transform (const LorentzRotation &r)
	Perform the Lorentz transformation of the wave function.
Standard constructors and destructors.
	SpinorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, complex< double > s1, complex< double > s2, complex< double > s3, complex< double > s4)
	Constructor, set the momentum and the components of the spinor.
	SpinorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, const LorentzSpinor< double > &wave, Direction dir=intermediate)
	Constructor, set the momentum and the wavefunction.
	SpinorWaveFunction (const tPPtr &p, const LorentzSpinor< SqrtEnergy > &wave, Direction dir=intermediate)
	Constructor, set the momentum and the wavefunction.
	SpinorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, unsigned int ihel, Direction dir)
	Constructor, set the momentum, helicity, direction.
	SpinorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, Direction dir)
	Constructor, set the momentum, direction, zero the wavefunction.
	SpinorWaveFunction ()
	Default constructor.
	SpinorWaveFunction (vector< SpinorWaveFunction > &wave, tPPtr part, Direction dir, bool time, bool=true)
	Special for spin correlations.

complex< double >	operator() (int i) const
	Access to the wavefunction and its components.
const LorentzSpinor< double > &	wave () const
	Return wavefunction as LorentzSpinor<double>.
LorentzSpinor< SqrtEnergy >	dimensionedWave () const
	Return wavefunction as LorentzSpinor<SqrtEnergy>.
complex< double >	s1 () const
	Get the first spin component component.
complex< double >	s2 () const
	Get the second spin component component.
complex< double >	s3 () const
	Get the third spin component component.
complex< double >	s4 () const
	Get the fourth spin component component.

void	reset (unsigned int ihel)
	Reset functions.
Static Public Member Functions
static void	calculateWaveFunctions (vector< LorentzSpinor< SqrtEnergy > > &waves, tPPtr particle, Direction)
	Calculate the wavefunctions.
static void	calculateWaveFunctions (vector< SpinorWaveFunction > &waves, tPPtr particle, Direction)
	Calculate the wavefunctions.
static void	calculateWaveFunctions (vector< LorentzSpinor< SqrtEnergy > > &waves, RhoDMatrix &rho, tPPtr particle, Direction)
	Calculate the wavefunctions.
static void	calculateWaveFunctions (vector< SpinorWaveFunction > &waves, RhoDMatrix &rho, tPPtr particle, Direction)
	Calculate the wavefunctions.
static void	constructSpinInfo (const vector< LorentzSpinor< SqrtEnergy > > &waves, tPPtr part, Direction dir, bool time)
	Construct the SpinInfo object.
static void	constructSpinInfo (const vector< SpinorWaveFunction > &waves, tPPtr part, Direction dir, bool time)
	Construct the SpinInfo object.
Private Member Functions
void	calculateWaveFunction (unsigned int ihel)
	Calcuate the wavefunction.
LorentzSpinor< SqrtEnergy >	dimensionedWf () const
	Return wavefunction as LorentzSpinor<SqrtEnergy>.
Private Attributes
LorentzSpinor< double >	_wf
	Storage of the Lorentz Spinor.