ThePEG::Helicity::TensorWaveFunction Class Reference

#include <TensorWaveFunction.h>

Inheritance diagram for ThePEG::Helicity::TensorWaveFunction:

List of all members.

Public Member Functions

void transform (const LorentzRotation &r)

Perform the Lorentz transformation of the wave function.

Standard constructors and destructors.

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.

Static Public Member Functions

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.

Private Member Functions

void calculateWaveFunction (unsigned int ihel, TensorPhase phase=default_tensor_phase)

Calculate the wavefunction.

Private Attributes

LorentzTensor< double > _wf

Storage of the wavefunction as a Lorentz Tensor.

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

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.

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 component.
	xy	The component.
	xz	The component.
	xt	The component.
	yx	The component.
	yy	The component.
	yz	The component.
	yt	The component.
	zx	The component.
	zy	The component.
	zz	The component.
	zt	The component.
	tx	The component.
	ty	The component.
	tz	The component.
	tt	The component.

Definition at line 110 of file TensorWaveFunction.h.

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

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.

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.

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(), and constructSpinInfo().

Member Function Documentation

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.

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().

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().

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

TensorWaveFunction.h


Public Member Functions
void	transform (const LorentzRotation &r)
	Perform the Lorentz transformation of the wave function.
Standard constructors and destructors.
	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 component.
Complex	yx () const
	Get the component.
Complex	zx () const
	Get the component.
Complex	tx () const
	Get the component.
Complex	xy () const
	Get the component.
Complex	yy () const
	Get the component.
Complex	zy () const
	Get the component.
Complex	ty () const
	Get the component.
Complex	xz () const
	Get the component.
Complex	yz () const
	Get the component.
Complex	zz () const
	Get the component.
Complex	tz () const
	Get the component.
Complex	xt () const
	Get the component.
Complex	yt () const
	Get the component.
Complex	zt () const
	Get the component.
Complex	tt () const
	Get the component.

void	reset (unsigned int ihel, TensorPhase phase=default_tensor_phase)
	Reset functions.
Static Public Member Functions
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.
Private Member Functions
void	calculateWaveFunction (unsigned int ihel, TensorPhase phase=default_tensor_phase)
	Calculate the wavefunction.
Private Attributes
LorentzTensor< double >	_wf
	Storage of the wavefunction as a Lorentz Tensor.