ThePEG::SpinOneLorentzRotation Class Reference

The SpinOneLorentzRotation class is ... More...

#include <SpinOneLorentzRotation.h>

Public Member Functions
Constructors and destructor.
	SpinOneLorentzRotation ()
	Default constructor.
	SpinOneLorentzRotation (double bx, double by, double bz, double gamma=-1.)
	Constructor giving the components of a Lorentz boost.
	SpinOneLorentzRotation (const Boost &b, double gamma=-1.)
	Constructor giving the vector for a Lorentz boost.
bool	isIdentity () const
	Returns true if the Identity matrix.
SpinOneLorentzRotation	inverse () const
	Return the inverse.
SpinOneLorentzRotation &	invert ()
	Inverts the SpinOneLorentzRotation matrix.
std::ostream &	print (std::ostream &os) const
	output operator
Set methods for speical cases of simple rotations and boosts
SpinOneLorentzRotation &	setBoost (double bx, double by, double bz, double gamma=-1.)
	Specify the components of a Lorentz Boost.
SpinOneLorentzRotation &	setBoost (const Boost &b, double gamma=-1.)
	Specify a Lorentz Boost as a vector.
SpinOneLorentzRotation &	setRotate (double delta, const Axis &axis)
	Specify a rotation about a general axis by the angle given.
SpinOneLorentzRotation &	setRotateX (double angle)
	Specify a rotation by the given angle about the x-axis.
SpinOneLorentzRotation &	setRotateY (double angle)
	Specify a rotation by the given angle about the y-axis.
SpinOneLorentzRotation &	setRotateZ (double angle)
	Specify a rotation by the given angle about the z-axis.
Access methods for the components of the spin-1 rotation
double	xx () const
	The xx component.
double	xy () const
	The xy component.
double	xz () const
	The xz component.
double	xt () const
	The xt component.
double	yx () const
	The yx component.
double	yy () const
	The yy component.
double	yz () const
	The yz component.
double	yt () const
	The yt component.
double	zx () const
	The zx component.
double	zy () const
	The zy component.
double	zz () const
	The zz component.
double	zt () const
	The zt component.
double	tx () const
	The tx component.
double	ty () const
	The ty component.
double	tz () const
	The tz component.
double	tt () const
	The tt component.

Private Member Functions
Component access.
double &	xx_ ()
double &	xy_ ()
double &	xz_ ()
double &	xt_ ()
double &	yx_ ()
double &	yy_ ()
double &	yz_ ()
double &	yt_ ()
double &	zx_ ()
double &	zy_ ()
double &	zz_ ()
double &	zt_ ()
double &	tx_ ()
double &	ty_ ()
double &	tz_ ()
double &	tt_ ()

Transformation and product members
template<typename Value >
class	Helicity::LorentzTensor
template<typename Value >
class	Helicity::LorentzRank3Tensor
template<typename Value >
class	Helicity::LorentzRSSpinor
template<typename Value >
class	Helicity::LorentzRSSpinorBar
array< double, 16 >	matrix_ = {}
	Matrix components, order: \((xx, xy, \ldots, tz, tt)\).
template<typename Value >
LorentzVector< Value >	operator* (const LorentzVector< Value > &v) const
	Product with a LorentzVector simply returns the rotated vector.
template<typename Value >
Lorentz5Vector< Value >	operator* (const Lorentz5Vector< Value > &v) const
	Product with a Lorentz5Vector simply returns the rotated vector.
SpinOneLorentzRotation	operator* (const SpinOneLorentzRotation &lt) const
	Product of two LorentzRotations (this) * lt - matrix multiplication
SpinOneLorentzRotation &	operator*= (const SpinOneLorentzRotation &lt)
	Multiply by and assign a*=b becomes a= a*b.
SpinOneLorentzRotation &	transform (const SpinOneLorentzRotation &lt)
	Transform (similar to *= but a.transform(b) becomes a = b*a.
SpinOneLorentzRotation &	rotateX (double delta)
	Rotation around the x-axis; equivalent to LT = RotationX(delta) * LT.
SpinOneLorentzRotation &	rotateY (double delta)
	Rotation around the y-axis; equivalent to LT = RotationY(delta) * LT.
SpinOneLorentzRotation &	rotateZ (double delta)
	Rotation around the z-axis; equivalent to LT = RotationZ(delta) * LT.
SpinOneLorentzRotation &	rotate (double delta, const Axis &axis)
	Rotation around specified vector - LT = Rotation(delta,axis)*LT.
SpinOneLorentzRotation &	boostX (double beta)
	Pure boost along the x-axis; equivalent to LT = BoostX(beta) * LT.
SpinOneLorentzRotation &	boostY (double beta)
	Pure boost along the y-axis; equivalent to LT = BoostX(beta) * LT.
SpinOneLorentzRotation &	boostZ (double beta)
	Pure boost along the z-axis; equivalent to LT = BoostX(beta) * LT.
SpinOneLorentzRotation &	boost (double bx, double by, double bz, double gamma=-1.)
	boost equivalent to LT = Boost(bx,by,bz) * LT
SpinOneLorentzRotation &	boost (const Boost &b, double gamma=-1.)
	boost equivalent to LT = Boost(bv) * LT
	SpinOneLorentzRotation (double xx, double xy, double xz, double xt, double yx, double yy, double yz, double yt, double zx, double zy, double zz, double zt, double tx, double ty, double tz, double tt)
	Constructor from doubles.
double	operator() (unsigned int i, unsigned int j) const
	Component access by index: x=0, t=3.

Detailed Description

The SpinOneLorentzRotation class is ...

Definition at line 25 of file SpinOneLorentzRotation.h.

Constructor & Destructor Documentation

SpinOneLorentzRotation() [1/3]

ThePEG::SpinOneLorentzRotation::SpinOneLorentzRotation ( )

inline

Default constructor.

Gives a unit matrix.

Definition at line 34 of file SpinOneLorentzRotation.h.

Referenced by boost(), boostX(), boostY(), and boostZ().

SpinOneLorentzRotation() [2/3]

ThePEG::SpinOneLorentzRotation::SpinOneLorentzRotation ( double  bx, double  by, double  bz, double  gamma = -1.  )

inline

Constructor giving the components of a Lorentz boost.

Parameters

bx	The x-component of the boost
by	The y-component of the boost
bz	The z-component of the boost
gamma	The \(\gamma\) factor (optional)

Definition at line 45 of file SpinOneLorentzRotation.h.

References setBoost().

SpinOneLorentzRotation() [3/3]

ThePEG::SpinOneLorentzRotation::SpinOneLorentzRotation ( const Boost &  b, double  gamma = -1.  )

inlineexplicit

Constructor giving the vector for a Lorentz boost.

Parameters

b	The boost vector
gamma	The \(\gamma\) factor (optional)

Definition at line 55 of file SpinOneLorentzRotation.h.

References setBoost().

Member Function Documentation

boost() [1/2]

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::boost ( const Boost &  b, double  gamma = -1.  )

inline

boost equivalent to LT = Boost(bv) * LT

Parameters

b	The boost vector
gamma	The \(\gamma\) factor (optional)

Definition at line 336 of file SpinOneLorentzRotation.h.

References SpinOneLorentzRotation().

boost() [2/2]

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::boost ( double  bx, double  by, double  bz, double  gamma = -1.  )

inline

boost equivalent to LT = Boost(bx,by,bz) * LT

Parameters

bx	The x-component of the boost
by	The y-component of the boost
bz	The z-component of the boost
gamma	The \(\gamma\) factor (optional)

Definition at line 326 of file SpinOneLorentzRotation.h.

References SpinOneLorentzRotation().

Referenced by ThePEG::LorentzRotation::boost().

boostX()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::boostX ( double  beta )

inline

Pure boost along the x-axis; equivalent to LT = BoostX(beta) * LT.

Definition at line 301 of file SpinOneLorentzRotation.h.

References SpinOneLorentzRotation().

Referenced by ThePEG::LorentzRotation::boostX().

boostY()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::boostY ( double  beta )

inline

Pure boost along the y-axis; equivalent to LT = BoostX(beta) * LT.

Definition at line 308 of file SpinOneLorentzRotation.h.

References SpinOneLorentzRotation().

Referenced by ThePEG::LorentzRotation::boostY().

boostZ()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::boostZ ( double  beta )

inline

Pure boost along the z-axis; equivalent to LT = BoostX(beta) * LT.

Definition at line 315 of file SpinOneLorentzRotation.h.

References SpinOneLorentzRotation().

Referenced by ThePEG::LorentzRotation::boostZ().

invert()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::invert ( )

inline

Inverts the SpinOneLorentzRotation matrix.

Definition at line 74 of file SpinOneLorentzRotation.h.

References inverse().

operator()()

double ThePEG::SpinOneLorentzRotation::operator() ( unsigned int  i, unsigned int  j  ) const

inlineprivate

Component access by index: x=0, t=3.

Definition at line 358 of file SpinOneLorentzRotation.h.

References matrix_.

operator*() [1/3]

template<typename Value >

Lorentz5Vector< Value > ThePEG::SpinOneLorentzRotation::operator* ( const Lorentz5Vector< Value > &  v ) const

inline

Product with a Lorentz5Vector simply returns the rotated vector.

Definition at line 234 of file SpinOneLorentzRotation.h.

References tt(), tx(), ty(), tz(), xt(), xx(), xy(), xz(), yt(), yx(), yy(), yz(), zt(), zx(), zy(), and zz().

operator*() [2/3]

template<typename Value >

LorentzVector< Value > ThePEG::SpinOneLorentzRotation::operator* ( const LorentzVector< Value > &  v ) const

inline

Product with a LorentzVector simply returns the rotated vector.

Definition at line 221 of file SpinOneLorentzRotation.h.

References tt(), tx(), ty(), tz(), xt(), xx(), xy(), xz(), yt(), yx(), yy(), yz(), zt(), zx(), zy(), and zz().

operator*() [3/3]

SpinOneLorentzRotation ThePEG::SpinOneLorentzRotation::operator*

(

const SpinOneLorentzRotation &

lt

)

const

Product of two LorentzRotations (this) * lt - matrix multiplication

Parameters

lt	The LorentzRotation we are multiplying

operator*=()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::operator*= ( const SpinOneLorentzRotation &  lt )

inline

Multiply by and assign a*=b becomes a= a*b.

Definition at line 251 of file SpinOneLorentzRotation.h.

rotate()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::rotate ( double  delta, const Axis &  axis  )

inline

Rotation around specified vector - LT = Rotation(delta,axis)*LT.

Definition at line 292 of file SpinOneLorentzRotation.h.

References setRotate().

Referenced by ThePEG::LorentzRotation::rotate().

rotateX()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::rotateX ( double  delta )

inline

Rotation around the x-axis; equivalent to LT = RotationX(delta) * LT.

Definition at line 265 of file SpinOneLorentzRotation.h.

References setRotateX().

Referenced by ThePEG::LorentzRotation::rotateX().

rotateY()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::rotateY ( double  delta )

inline

Rotation around the y-axis; equivalent to LT = RotationY(delta) * LT.

Definition at line 274 of file SpinOneLorentzRotation.h.

References setRotateY().

Referenced by ThePEG::LorentzRotation::rotateY().

rotateZ()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::rotateZ ( double  delta )

inline

Rotation around the z-axis; equivalent to LT = RotationZ(delta) * LT.

Definition at line 283 of file SpinOneLorentzRotation.h.

References setRotateZ().

Referenced by ThePEG::LorentzRotation::rotateZ().

setBoost() [1/2]

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::setBoost ( const Boost &  b, double  gamma = -1.  )

inline

Specify a Lorentz Boost as a vector.

Parameters

b	The boost vector
gamma	The \(\gamma\) factor (optional)

Definition at line 98 of file SpinOneLorentzRotation.h.

References setBoost().

setBoost() [2/2]

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::setBoost	(	double	bx,
		double	by,
		double	bz,
		double	gamma = -1.
	)

Specify the components of a Lorentz Boost.

Parameters

bx	The x-component of the boost
by	The y-component of the boost
bz	The z-component of the boost
gamma	The \(\gamma\) factor (optional)

Referenced by setBoost(), ThePEG::LorentzRotation::setBoost(), ThePEG::LorentzRotation::setBoostX(), ThePEG::LorentzRotation::setBoostY(), ThePEG::LorentzRotation::setBoostZ(), and SpinOneLorentzRotation().

setRotate()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::setRotate	(	double	delta,
		const Axis &	axis
	)

Specify a rotation about a general axis by the angle given.

Parameters

delta	The angle
axis	The axis

Referenced by rotate(), and ThePEG::LorentzRotation::setRotate().

setRotateX()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::setRotateX

(

double

angle

)

Specify a rotation by the given angle about the x-axis.

Parameters

angle

The rotation angle

Referenced by rotateX(), and ThePEG::LorentzRotation::setRotateX().

setRotateY()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::setRotateY

(

double

angle

)

Specify a rotation by the given angle about the y-axis.

Parameters

angle

The rotation angle

Referenced by rotateY().

setRotateZ()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::setRotateZ

(

double

angle

)

Specify a rotation by the given angle about the z-axis.

Parameters

angle

The rotation angle

Referenced by rotateZ(), ThePEG::LorentzRotation::setRotateY(), and ThePEG::LorentzRotation::setRotateZ().

transform()

SpinOneLorentzRotation & ThePEG::SpinOneLorentzRotation::transform ( const SpinOneLorentzRotation &  lt )

inline

Transform (similar to *= but a.transform(b) becomes a = b*a.

Definition at line 258 of file SpinOneLorentzRotation.h.

Referenced by ThePEG::LorentzRotation::transform().

tt()

double ThePEG::SpinOneLorentzRotation::tt ( ) const

inline

The tt component.

Definition at line 210 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::tt().

tt_()

double & ThePEG::SpinOneLorentzRotation::tt_ ( )

inlineprivate

Definition at line 382 of file SpinOneLorentzRotation.h.

tx()

double ThePEG::SpinOneLorentzRotation::tx ( ) const

inline

The tx component.

Definition at line 195 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::tx().

tx_()

double & ThePEG::SpinOneLorentzRotation::tx_ ( )

inlineprivate

Definition at line 379 of file SpinOneLorentzRotation.h.

ty()

double ThePEG::SpinOneLorentzRotation::ty ( ) const

inline

The ty component.

Definition at line 200 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::ty().

ty_()

double & ThePEG::SpinOneLorentzRotation::ty_ ( )

inlineprivate

Definition at line 380 of file SpinOneLorentzRotation.h.

tz()

double ThePEG::SpinOneLorentzRotation::tz ( ) const

inline

The tz component.

Definition at line 205 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::tz().

tz_()

double & ThePEG::SpinOneLorentzRotation::tz_ ( )

inlineprivate

Definition at line 381 of file SpinOneLorentzRotation.h.

xt()

double ThePEG::SpinOneLorentzRotation::xt ( ) const

inline

The xt component.

Definition at line 150 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::xt().

xt_()

double & ThePEG::SpinOneLorentzRotation::xt_ ( )

inlineprivate

Definition at line 367 of file SpinOneLorentzRotation.h.

xx()

double ThePEG::SpinOneLorentzRotation::xx ( ) const

inline

The xx component.

Definition at line 135 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::xx().

xx_()

double & ThePEG::SpinOneLorentzRotation::xx_ ( )

inlineprivate

Definition at line 364 of file SpinOneLorentzRotation.h.

xy()

double ThePEG::SpinOneLorentzRotation::xy ( ) const

inline

The xy component.

Definition at line 140 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::xy().

xy_()

double & ThePEG::SpinOneLorentzRotation::xy_ ( )

inlineprivate

Definition at line 365 of file SpinOneLorentzRotation.h.

xz()

double ThePEG::SpinOneLorentzRotation::xz ( ) const

inline

The xz component.

Definition at line 145 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::xz().

xz_()

double & ThePEG::SpinOneLorentzRotation::xz_ ( )

inlineprivate

Definition at line 366 of file SpinOneLorentzRotation.h.

yt()

double ThePEG::SpinOneLorentzRotation::yt ( ) const

inline

The yt component.

Definition at line 170 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::yt().

yt_()

double & ThePEG::SpinOneLorentzRotation::yt_ ( )

inlineprivate

Definition at line 372 of file SpinOneLorentzRotation.h.

yx()

double ThePEG::SpinOneLorentzRotation::yx ( ) const

inline

The yx component.

Definition at line 155 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::yx().

yx_()

double & ThePEG::SpinOneLorentzRotation::yx_ ( )

inlineprivate

Definition at line 369 of file SpinOneLorentzRotation.h.

yy()

double ThePEG::SpinOneLorentzRotation::yy ( ) const

inline

The yy component.

Definition at line 160 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::yy().

yy_()

double & ThePEG::SpinOneLorentzRotation::yy_ ( )

inlineprivate

Definition at line 370 of file SpinOneLorentzRotation.h.

yz()

double ThePEG::SpinOneLorentzRotation::yz ( ) const

inline

The yz component.

Definition at line 165 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::yz().

yz_()

double & ThePEG::SpinOneLorentzRotation::yz_ ( )

inlineprivate

Definition at line 371 of file SpinOneLorentzRotation.h.

zt()

double ThePEG::SpinOneLorentzRotation::zt ( ) const

inline

The zt component.

Definition at line 190 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::zt().

zt_()

double & ThePEG::SpinOneLorentzRotation::zt_ ( )

inlineprivate

Definition at line 377 of file SpinOneLorentzRotation.h.

zx()

double ThePEG::SpinOneLorentzRotation::zx ( ) const

inline

The zx component.

Definition at line 175 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::zx().

zx_()

double & ThePEG::SpinOneLorentzRotation::zx_ ( )

inlineprivate

Definition at line 374 of file SpinOneLorentzRotation.h.

zy()

double ThePEG::SpinOneLorentzRotation::zy ( ) const

inline

The zy component.

Definition at line 180 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::zy().

zy_()

double & ThePEG::SpinOneLorentzRotation::zy_ ( )

inlineprivate

Definition at line 375 of file SpinOneLorentzRotation.h.

zz()

double ThePEG::SpinOneLorentzRotation::zz ( ) const

inline

The zz component.

Definition at line 185 of file SpinOneLorentzRotation.h.

References matrix_.

Referenced by operator*(), and ThePEG::LorentzRotation::zz().

zz_()

double & ThePEG::SpinOneLorentzRotation::zz_ ( )

inlineprivate

Definition at line 376 of file SpinOneLorentzRotation.h.

Friends And Related Function Documentation

Helicity::LorentzRank3Tensor

template<typename Value >

friend class Helicity::LorentzRank3Tensor

friend

Definition at line 344 of file SpinOneLorentzRotation.h.

Helicity::LorentzRSSpinor

template<typename Value >

friend class Helicity::LorentzRSSpinor

friend

Definition at line 345 of file SpinOneLorentzRotation.h.

Helicity::LorentzRSSpinorBar

template<typename Value >

friend class Helicity::LorentzRSSpinorBar

friend

Definition at line 346 of file SpinOneLorentzRotation.h.

Helicity::LorentzTensor

template<typename Value >

friend class Helicity::LorentzTensor

friend

Definition at line 343 of file SpinOneLorentzRotation.h.

Member Data Documentation

matrix_

array<double,16> ThePEG::SpinOneLorentzRotation::matrix_ = {}

private

Matrix components, order: \((xx, xy, \ldots, tz, tt)\).

Definition at line 349 of file SpinOneLorentzRotation.h.

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

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

• SpinOneLorentzRotation.h