#include <TensorWaveFunction.h>

Inheritance diagram for ThePEG::Helicity::TensorWaveFunction:

Standard constructors and destructors.
LorentzTensor< double >	_wf
	Storage of the wavefunction as a Lorentz Tensor.

	TensorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, const LorentzTensor< double > &wave, Direction dir=intermediate)
	Constructor, set the momentum and Wavefunction, the direction can also be specified.

	TensorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, Complex xx, Complex xy, Complex xz, Complex xt, Complex yx, Complex yy, Complex yz, Complex yt, Complex zx, Complex zy, Complex zz, Complex zt, Complex tx, Complex ty, Complex tz, Complex tt)
	Constructor, set the momentum and the components of the tensor.

	TensorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, unsigned int ihel, Direction dir, TensorPhase phase=default_tensor_phase)
	Constructor, set the momentum, helicity, direction and optionally the phase.

	TensorWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, Direction dir)
	Constructor, set the 5-momentum and direction, zero the wavefunction.

	TensorWaveFunction ()
	Default constructor.

	TensorWaveFunction (vector< TensorWaveFunction > &wave, tPPtr part, Direction dir, bool time, bool massless, bool=true, TensorPhase phase=default_tensor_phase)
	Special for spin correlations.

Complex	operator() (int i, int j) const
	Access to the wavefunction and its components.

Complex &	operator() (int i, int j)
	Set components by index.

const LorentzTensor< double > &	wave () const
	Return wavefunction as polarization vector.

Complex	xx () const
	Get the \(xx\) component.

Complex	yx () const
	Get the \(yx\) component.

Complex	zx () const
	Get the \(zx\) component.

Complex	tx () const
	Get the \(tx\) component.

Complex	xy () const
	Get the \(xy\) component.

Complex	yy () const
	Get the \(yy\) component.

Complex	zy () const
	Get the \(zy\) component.

Complex	ty () const
	Get the \(ty\) component.

Complex	xz () const
	Get the \(xz\) component.

Complex	yz () const
	Get the \(yz\) component.

Complex	zz () const
	Get the \(zz\) component.

Complex	tz () const
	Get the \(tz\) component.

Complex	xt () const
	Get the \(xt\) component.

Complex	yt () const
	Get the \(yt\) component.

Complex	zt () const
	Get the \(zt\) component.

Complex	tt () const
	Get the \(tt\) component.

void	reset (unsigned int ihel, TensorPhase phase=default_tensor_phase)
	Reset functions.

void	transform (const LorentzRotation &r)
	Perform the Lorentz transformation of the wave function.

static void	calculateWaveFunctions (vector< LorentzTensor< double > > &waves, tPPtr particle, Direction, bool massless, TensorPhase phase=default_tensor_phase)
	Calculate the wavefunctions.

static void	calculateWaveFunctions (vector< TensorWaveFunction > &waves, tPPtr particle, Direction, bool massless, TensorPhase phase=default_tensor_phase)
	Calculate the wavefunctions.

static void	calculateWaveFunctions (vector< LorentzTensor< double > > &waves, RhoDMatrix &rho, tPPtr particle, Direction, bool massless, TensorPhase phase=default_tensor_phase)
	Calculate the wavefunctions.

static void	calculateWaveFunctions (vector< TensorWaveFunction > &waves, RhoDMatrix &rho, tPPtr particle, Direction, bool massless, TensorPhase phase=default_tensor_phase)
	Calculate the wavefunctions.

static void	constructSpinInfo (const vector< LorentzTensor< double > > &waves, tPPtr part, Direction dir, bool time, bool massless)
	Construct the SpinInfo object.

static void	constructSpinInfo (const vector< TensorWaveFunction > &waves, tPPtr part, Direction dir, bool time, bool massless)
	Construct the SpinInfo object.

void	calculateWaveFunction (unsigned int ihel, TensorPhase phase=default_tensor_phase)
	Calculate the wavefunction.

Additional Inherited Members
Public Member Functions inherited from ThePEG::Helicity::WaveFunctionBase
	WaveFunctionBase ()
	Constructors.

	WaveFunctionBase (const Lorentz5Momentum &p, tcPDPtr pd, Direction dir=intermediate)

Energy	px () const
	Access to the momentum components and mass.

Energy	py () const
	Get the y component of the momentum.

Energy	pz () const
	Get the z component of the momentum.

Energy	e () const
	Get the energy.

Energy	mass () const
	Get the mass.

Energy2	m2 () const
	Get off-shell mass squared.

const Lorentz5Momentum &	momentum () const
	Access to the 5-momentum.

long	id () const
	Access to the particle properties.

PDT::Spin	iSpin () const
	Get 2s+1 for the particle.

tcPDPtr	particle () const
	Get the particle pointer.

ThePEG::Helicity::Direction	direction () const
	Get the direction of particle.

void	direction (ThePEG::Helicity::Direction in)
	Set the direction of the particle.

Protected Member Functions inherited from ThePEG::Helicity::WaveFunctionBase
void	transformMomentum (const LorentzRotation &r)
	Perform the Lorentz transformation of the wave function.

Detailed Description

Author: Peter Richardson

The TensorWaveFunction class is designed to store the wavefunction of a tensor 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 tensor using the LorentzTensor class it inherits from the WaveFunctionBase class to provide storage of the momentum and ParticleData for the tensor particle.

This class also contains the code which does the actually calculation of the tensor wavefunction.

There are two choices available for the calculation of the wavefunction. These are set using the TensorPhase enumeration which specifies a default choice. The first choice, tensor_phase, includes a phase factor \(\exp(\pm i \phi)\) for the \(\pm\) helicity states while the second, tensor_nophase, does not.

N.B. In our convention 0 is the \(-2\) helicity state, 1 is the \(-1\) helicity state, 2 is the \( 0\) helicity state, 3 is the \(+1\) helicity state and 4 is the \(+2\) helicity state.

See also: WaveFunctionBase; LorentzTensor; VectorWaveFunction

Definition at line 67 of file TensorWaveFunction.h.

Constructor & Destructor Documentation

◆ TensorWaveFunction() [1/6]

ThePEG::Helicity::TensorWaveFunction::TensorWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		const LorentzTensor< double > &	wave,
		Direction	dir = `intermediate`
	)

inline

Constructor, set the momentum and Wavefunction, the direction can also be specified.

Parameters

p	The momentum.
part	The ParticleData pointer
wave	The wavefunction, i.e. the polarization vector.
dir	The direction of the particle.

Definition at line 81 of file TensorWaveFunction.h.

References ThePEG::Helicity::WaveFunctionBase::iSpin(), and ThePEG::PDT::Spin2.

◆ TensorWaveFunction() [2/6]

ThePEG::Helicity::TensorWaveFunction::TensorWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		Complex	xx,
		Complex	xy,
		Complex	xz,
		Complex	xt,
		Complex	yx,
		Complex	yy,
		Complex	yz,
		Complex	yt,
		Complex	zx,
		Complex	zy,
		Complex	zz,
		Complex	zt,
		Complex	tx,
		Complex	ty,
		Complex	tz,
		Complex	tt
	)

inline

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

Parameters

p	The momentum.
part	The ParticleData pointer
xx	The \(xx\) component.
xy	The \(xy\) component.
xz	The \(xz\) component.
xt	The \(xt\) component.
yx	The \(yx\) component.
yy	The \(yy\) component.
yz	The \(yz\) component.
yt	The \(yt\) component.
zx	The \(zx\) component.
zy	The \(zy\) component.
zz	The \(zz\) component.
zt	The \(zt\) component.
tx	The \(tx\) component.
ty	The \(ty\) component.
tz	The \(tz\) component.
tt	The \(tt\) component.

Definition at line 110 of file TensorWaveFunction.h.

References ThePEG::Helicity::WaveFunctionBase::iSpin(), and ThePEG::PDT::Spin2.

◆ TensorWaveFunction() [3/6]

ThePEG::Helicity::TensorWaveFunction::TensorWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		unsigned int	ihel,
		Direction	dir,
		TensorPhase	phase = `default_tensor_phase`
	)

inline

Constructor, set the momentum, helicity, direction and optionally the phase.

Parameters

p	The momentum.
part	The ParticleData pointer
ihel	The helicity (0,1,2,3,4 as described above.)
dir	The direction.
phase	The phase choice.

Definition at line 131 of file TensorWaveFunction.h.

References calculateWaveFunction(), ThePEG::Helicity::WaveFunctionBase::iSpin(), and ThePEG::PDT::Spin2.

◆ TensorWaveFunction() [4/6]

ThePEG::Helicity::TensorWaveFunction::TensorWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		Direction	dir
	)

inline

Constructor, set the 5-momentum and direction, zero the wavefunction.

Parameters

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

Definition at line 146 of file TensorWaveFunction.h.

References ThePEG::Helicity::WaveFunctionBase::iSpin(), and ThePEG::PDT::Spin2.

◆ TensorWaveFunction() [5/6]

ThePEG::Helicity::TensorWaveFunction::TensorWaveFunction ( )

inline

Default constructor.

Definition at line 156 of file TensorWaveFunction.h.

◆ TensorWaveFunction() [6/6]

ThePEG::Helicity::TensorWaveFunction::TensorWaveFunction	(	vector< TensorWaveFunction > &	wave,
		tPPtr	part,
		Direction	dir,
		bool	time,
		bool	massless,
		bool	= `true`,
		TensorPhase	phase = `default_tensor_phase`
	)

inline

Special for spin correlations.

Todo:: make static?

Definition at line 161 of file TensorWaveFunction.h.

References calculateWaveFunctions(), constructSpinInfo(), and wave().

Member Function Documentation

◆ calculateWaveFunction()

void ThePEG::Helicity::TensorWaveFunction::calculateWaveFunction	(	unsigned int	ihel,
		TensorPhase	phase = `default_tensor_phase`
	)

private

Calculate the wavefunction.

Parameters

ihel	The helicity (0,1,2,3,4 as described above.)
phase	The phase choice.

Referenced by reset(), and TensorWaveFunction().

◆ operator()() [1/2]

Complex & ThePEG::Helicity::TensorWaveFunction::operator()	(	int	i,
		int	j
	)

inline

Set components by index.

Definition at line 184 of file TensorWaveFunction.h.

References _wf.

◆ operator()() [2/2]

Complex ThePEG::Helicity::TensorWaveFunction::operator()	(	int	i,
		int	j
	)		const

inline

Access to the wavefunction and its components.

Subscript operator for the wavefunction.

Definition at line 177 of file TensorWaveFunction.h.

References _wf.

◆ reset()

void ThePEG::Helicity::TensorWaveFunction::reset	(	unsigned int	ihel,
		TensorPhase	phase = `default_tensor_phase`
	)

inline

Reset functions.

Reset helicity (recalculate the tensor ).

Parameters

ihel	The new helicity (0,1,2,3,4 as described above.)
phase	The phase choice.

Definition at line 284 of file TensorWaveFunction.h.

References calculateWaveFunction().

◆ transform()

void ThePEG::Helicity::TensorWaveFunction::transform ( const LorentzRotation & r )

inline

Perform the Lorentz transformation of the wave function.

Definition at line 294 of file TensorWaveFunction.h.

References _wf, ThePEG::Helicity::LorentzTensor< Value >::transform(), and ThePEG::Helicity::WaveFunctionBase::transformMomentum().

◆ tt()

Complex ThePEG::Helicity::TensorWaveFunction::tt ( ) const

inline

Get the \(tt\) component.

Definition at line 271 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::tt().

◆ tx()

Complex ThePEG::Helicity::TensorWaveFunction::tx ( ) const

inline

Get the \(tx\) component.

Definition at line 211 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::tx().

◆ ty()

Complex ThePEG::Helicity::TensorWaveFunction::ty ( ) const

inline

Get the \(ty\) component.

Definition at line 231 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::ty().

◆ tz()

Complex ThePEG::Helicity::TensorWaveFunction::tz ( ) const

inline

Get the \(tz\) component.

Definition at line 251 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::tz().

◆ wave()

const LorentzTensor< double > & ThePEG::Helicity::TensorWaveFunction::wave ( ) const

inline

Return wavefunction as polarization vector.

Definition at line 191 of file TensorWaveFunction.h.

References _wf.

Referenced by TensorWaveFunction().

◆ xt()

Complex ThePEG::Helicity::TensorWaveFunction::xt ( ) const

inline

Get the \(xt\) component.

Definition at line 256 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::xt().

◆ xx()

Complex ThePEG::Helicity::TensorWaveFunction::xx ( ) const

inline

Get the \(xx\) component.

Definition at line 196 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::xx().

◆ xy()

Complex ThePEG::Helicity::TensorWaveFunction::xy ( ) const

inline

Get the \(xy\) component.

Definition at line 216 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::xy().

◆ xz()

Complex ThePEG::Helicity::TensorWaveFunction::xz ( ) const

inline

Get the \(xz\) component.

Definition at line 236 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::xz().

◆ yt()

Complex ThePEG::Helicity::TensorWaveFunction::yt ( ) const

inline

Get the \(yt\) component.

Definition at line 261 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::yt().

◆ yx()

Complex ThePEG::Helicity::TensorWaveFunction::yx ( ) const

inline

Get the \(yx\) component.

Definition at line 201 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::yx().

◆ yy()

Complex ThePEG::Helicity::TensorWaveFunction::yy ( ) const

inline

Get the \(yy\) component.

Definition at line 221 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::yy().

◆ yz()

Complex ThePEG::Helicity::TensorWaveFunction::yz ( ) const

inline

Get the \(yz\) component.

Definition at line 241 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::yz().

◆ zt()

Complex ThePEG::Helicity::TensorWaveFunction::zt ( ) const

inline

Get the \(zt\) component.

Definition at line 266 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::zt().

◆ zx()

Complex ThePEG::Helicity::TensorWaveFunction::zx ( ) const

inline

Get the \(zx\) component.

Definition at line 206 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::zx().

◆ zy()

Complex ThePEG::Helicity::TensorWaveFunction::zy ( ) const

inline

Get the \(zy\) component.

Definition at line 226 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::zy().

◆ zz()

Complex ThePEG::Helicity::TensorWaveFunction::zz ( ) const

inline

Get the \(zz\) component.

Definition at line 246 of file TensorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzTensor< Value >::zz().

Member Data Documentation

◆ _wf

LorentzTensor<double> ThePEG::Helicity::TensorWaveFunction::_wf

private

Storage of the wavefunction as a Lorentz Tensor.

Definition at line 358 of file TensorWaveFunction.h.

Referenced by operator()(), transform(), tt(), tx(), ty(), tz(), wave(), xt(), xx(), xy(), xz(), yt(), yx(), yy(), yz(), zt(), zx(), zy(), and zz().

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

TensorWaveFunction.h

Standard constructors and destructors.

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TensorWaveFunction() [1/6]

◆ TensorWaveFunction() [2/6]

◆ TensorWaveFunction() [3/6]

◆ TensorWaveFunction() [4/6]

◆ TensorWaveFunction() [5/6]

◆ TensorWaveFunction() [6/6]

Member Function Documentation

◆ calculateWaveFunction()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ reset()

◆ transform()

◆ tt()

◆ tx()

◆ ty()

◆ tz()

◆ wave()

◆ xt()

◆ xx()

◆ xy()

◆ xz()

◆ yt()

◆ yx()

◆ yy()

◆ yz()

◆ zt()

◆ zx()

◆ zy()

◆ zz()

Member Data Documentation

◆ _wf