The LorentzRotation class combine a SpinOneLorentzRotation and a spin SpinHalfLorentzRotation to provide members which can perform the Lorentz transformation of any object. More...

#include <LorentzRotation.h>

Public Member Functions
Constructors and destructor.
	LorentzRotation ()
	Default constructor.

	LorentzRotation (double bx, double by, double bz, double gamma=-1.)
	Constructor giving the components of a Lorentz boost.

	LorentzRotation (const Boost &b, double gamma=-1.)
	Constructor giving the vector for a Lorentz boost.

bool	isIdentity () const
	Returns true if the Identity matrix.

LorentzRotation	inverse () const
	Return the inverse.

LorentzRotation &	invert ()
	Inverts the LorentzRotation matrix.

std::ostream &	print (std::ostream &os) const
	output operator

Set methods for speical cases of simple rotations and boosts
LorentzRotation &	setBoost (double bx, double by, double bz, double gamma=-1.)
	Specify the components of a Lorentz Boost.

LorentzRotation &	setBoost (const Boost &b, double gamma=-1.)
	Specify a Lorentz Boost as a vector.

LorentzRotation &	setBoostX (double boost)
	Specify a boost by the given factor along the x-axis.

LorentzRotation &	setBoostY (double boost)
	Specify a boost by the given factor along the y-axis.

LorentzRotation &	setBoostZ (double boost)
	Specify a boost by the given factor along the z-axis.

LorentzRotation &	setRotate (double delta, const Axis &axis)
	Specify a rotation about a general axis by the angle given.

LorentzRotation &	setRotateX (double angle)
	Specify a rotation by the given angle about the x-axis.

LorentzRotation &	setRotateY (double angle)
	Specify a rotation by the given angle about the y-axis.

LorentzRotation &	setRotateZ (double angle)
	Specify a rotation by the given angle about the z-axis.

Methods to return the spin-\f$\frac12\f$ and spin-1 transformations
const SpinHalfLorentzRotation &	half () const
	The spin- $\frac12$ transformation.

const SpinOneLorentzRotation &	one () const
	The spin-1 transformation.

	operator const SpinOneLorentzRotation & () const
	Automatically cast to the spin-1 transformation.

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.

Access methods for the components of the spin-\f$\frac12\f$ rotation
Complex	s1s1 () const
	The $(1,1)$ component.

Complex	s1s2 () const
	The $(1,2)$ component.

Complex	s1s3 () const
	The $(1,3)$ component.

Complex	s1s4 () const
	The $(1,4)$ component.

Complex	s2s1 () const
	The $(1,1)$ component.

Complex	s2s2 () const
	The $(1,1)$ component.

Complex	s2s3 () const
	The $(1,1)$ component.

Complex	s2s4 () const
	The $(1,1)$ component.

Complex	s3s1 () const
	The $(1,1)$ component.

Complex	s3s2 () const
	The $(1,1)$ component.

Complex	s3s3 () const
	The $(1,1)$ component.

Complex	s3s4 () const
	The $(1,1)$ component.

Complex	s4s1 () const
	The $(1,1)$ component.

Complex	s4s2 () const
	The $(1,1)$ component.

Complex	s4s3 () const
	The $(1,1)$ component.

Complex	s4s4 () const
	The $(1,1)$ component.

Friends
LorentzRotation	inverseOf (const LorentzRotation &lt)
	The external inverseOf needs to be a friend.

Transformation and product members
SpinHalfLorentzRotation	_half
	The spin- $\frac12$ rotation.

SpinOneLorentzRotation	_one
	The spin-1 rotation.

template<typename Value >
LorentzVector< Value >	operator* (const LorentzVector< Value > &lv) const
	Product with a LorentzVector simply returns the rotated vector.

template<typename Value >
Lorentz5Vector< Value >	operator* (const Lorentz5Vector< Value > &lv) const
	Product with a Lorentz5Vector simply returns the rotated vector.

LorentzRotation	operator* (const LorentzRotation &lt) const
	Product of two LorentzRotations (this) * lt - matrix multiplication

LorentzRotation &	operator*= (const LorentzRotation &lt)
	Multiply by and assign a=b becomes a= ab.

LorentzRotation &	transform (const LorentzRotation &lt)
	Transform (similar to = but a.transform(b) becomes a = ba.

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

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

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

LorentzRotation &	rotate (double delta, const Axis &axis)
	Rotation around specified vector - LT = Rotation(delta,axis)*LT.

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

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

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

LorentzRotation &	boost (double bx, double by, double bz, double gamma=-1.)
	boost equivalent to LT = Boost(bx,by,bz) * LT

LorentzRotation &	boost (const Boost &bv, double gamma=-1.)
	boost equivalent to LT = Boost(bv) * LT

Detailed Description

The LorentzRotation class combine a SpinOneLorentzRotation and a spin SpinHalfLorentzRotation to provide members which can perform the Lorentz transformation of any object.

The class ensures that the two transformations are consistent by only allowing transformations to be made to both the spin-1 and spin- $\frac12$ members.

Definition at line 27 of file LorentzRotation.h.

Constructor & Destructor Documentation

◆ LorentzRotation() [1/3]

ThePEG::LorentzRotation::LorentzRotation ( )

inline

Default constructor.

Gives a unit matrix.

Definition at line 42 of file LorentzRotation.h.

◆ LorentzRotation() [2/3]

ThePEG::LorentzRotation::LorentzRotation	(	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 51 of file LorentzRotation.h.

◆ LorentzRotation() [3/3]

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

inline

Constructor giving the vector for a Lorentz boost.

Parameters

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

Definition at line 59 of file LorentzRotation.h.

Member Function Documentation

◆ boost() [1/2]

LorentzRotation & ThePEG::LorentzRotation::boost	(	const Boost &	bv,
		double	gamma = `-1.`
	)

inline

boost equivalent to LT = Boost(bv) * LT

Parameters

bv	The boost
gamma	The $\gamma$ factor (optional)

Definition at line 505 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::boost(), and ThePEG::SpinOneLorentzRotation::boost().

◆ boost() [2/2]

LorentzRotation & ThePEG::LorentzRotation::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 494 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::boost(), and ThePEG::SpinOneLorentzRotation::boost().

Referenced by setBoostX(), setBoostY(), and setBoostZ().

◆ boostX()

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

inline

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

Definition at line 463 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::boostX(), and ThePEG::SpinOneLorentzRotation::boostX().

◆ boostY()

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

inline

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

Definition at line 472 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::boostY(), and ThePEG::SpinOneLorentzRotation::boostY().

◆ boostZ()

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

inline

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

Definition at line 481 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::boostZ(), and ThePEG::SpinOneLorentzRotation::boostZ().

◆ half()

const SpinHalfLorentzRotation & ThePEG::LorentzRotation::half ( ) const

inline

The spin- $\frac12$ transformation.

Definition at line 197 of file LorentzRotation.h.

References _half.

Referenced by ThePEG::Helicity::LorentzSpinor< Value >::transform(), and ThePEG::Helicity::LorentzSpinorBar< Value >::transform().

◆ inverse()

LorentzRotation ThePEG::LorentzRotation::inverse ( ) const

inline

Return the inverse.

Definition at line 73 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::inverse(), and ThePEG::SpinOneLorentzRotation::inverse().

Referenced by invert().

◆ invert()

LorentzRotation & ThePEG::LorentzRotation::invert ( )

inline

Inverts the LorentzRotation matrix.

Definition at line 83 of file LorentzRotation.h.

References inverse().

Referenced by ThePEG::TmpTransform< Ptr >::~TmpTransform().

◆ isIdentity()

bool ThePEG::LorentzRotation::isIdentity ( ) const

inline

Returns true if the Identity matrix.

Definition at line 66 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::isIdentity(), and ThePEG::SpinOneLorentzRotation::isIdentity().

◆ one()

const SpinOneLorentzRotation & ThePEG::LorentzRotation::one ( ) const

inline

The spin-1 transformation.

Definition at line 202 of file LorentzRotation.h.

References _one.

Referenced by operator*(), and ThePEG::Lorentz5Vector< Value >::transform().

◆ operator const SpinOneLorentzRotation &()

ThePEG::LorentzRotation::operator const SpinOneLorentzRotation & ( ) const

inline

Automatically cast to the spin-1 transformation.

Definition at line 207 of file LorentzRotation.h.

References _one.

◆ operator*() [1/3]

template<typename Value >

Lorentz5Vector< Value > ThePEG::LorentzRotation::operator* ( const Lorentz5Vector< Value > & lv ) const

inline

Product with a Lorentz5Vector simply returns the rotated vector.

Definition at line 393 of file LorentzRotation.h.

References one().

◆ operator*() [2/3]

LorentzRotation ThePEG::LorentzRotation::operator* ( const LorentzRotation & lt ) const

inline

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

Parameters

lt	The LorentzRotation we are multiplying

Definition at line 399 of file LorentzRotation.h.

References _half, and _one.

◆ operator*() [3/3]

template<typename Value >

LorentzVector< Value > ThePEG::LorentzRotation::operator* ( const LorentzVector< Value > & lv ) const

inline

Product with a LorentzVector simply returns the rotated vector.

Definition at line 386 of file LorentzRotation.h.

References one().

◆ operator*=()

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

inline

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

Definition at line 409 of file LorentzRotation.h.

References _half, and _one.

◆ rotate()

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

inline

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

Definition at line 454 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::rotate(), and ThePEG::SpinOneLorentzRotation::rotate().

◆ rotateX()

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

inline

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

Definition at line 427 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::rotateX(), and ThePEG::SpinOneLorentzRotation::rotateX().

◆ rotateY()

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

inline

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

Definition at line 436 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::rotateY(), and ThePEG::SpinOneLorentzRotation::rotateY().

◆ rotateZ()

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

inline

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

Definition at line 445 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::rotateZ(), and ThePEG::SpinOneLorentzRotation::rotateZ().

◆ s1s1()

Complex ThePEG::LorentzRotation::s1s1 ( ) const

inline

The $(1,1)$ component.

Definition at line 299 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s1s1().

◆ s1s2()

Complex ThePEG::LorentzRotation::s1s2 ( ) const

inline

The $(1,2)$ component.

Definition at line 304 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s1s2().

◆ s1s3()

Complex ThePEG::LorentzRotation::s1s3 ( ) const

inline

The $(1,3)$ component.

Definition at line 309 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s1s3().

◆ s1s4()

Complex ThePEG::LorentzRotation::s1s4 ( ) const

inline

The $(1,4)$ component.

Definition at line 314 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s1s4().

◆ s2s1()

Complex ThePEG::LorentzRotation::s2s1 ( ) const

inline

The $(1,1)$ component.

Definition at line 319 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s2s1().

◆ s2s2()

Complex ThePEG::LorentzRotation::s2s2 ( ) const

inline

The $(1,1)$ component.

Definition at line 324 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s2s2().

◆ s2s3()

Complex ThePEG::LorentzRotation::s2s3 ( ) const

inline

The $(1,1)$ component.

Definition at line 329 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s2s3().

◆ s2s4()

Complex ThePEG::LorentzRotation::s2s4 ( ) const

inline

The $(1,1)$ component.

Definition at line 334 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s2s4().

◆ s3s1()

Complex ThePEG::LorentzRotation::s3s1 ( ) const

inline

The $(1,1)$ component.

Definition at line 339 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s3s1().

◆ s3s2()

Complex ThePEG::LorentzRotation::s3s2 ( ) const

inline

The $(1,1)$ component.

Definition at line 344 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s3s2().

◆ s3s3()

Complex ThePEG::LorentzRotation::s3s3 ( ) const

inline

The $(1,1)$ component.

Definition at line 349 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s3s3().

◆ s3s4()

Complex ThePEG::LorentzRotation::s3s4 ( ) const

inline

The $(1,1)$ component.

Definition at line 354 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s3s4().

◆ s4s1()

Complex ThePEG::LorentzRotation::s4s1 ( ) const

inline

The $(1,1)$ component.

Definition at line 359 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s4s1().

◆ s4s2()

Complex ThePEG::LorentzRotation::s4s2 ( ) const

inline

The $(1,1)$ component.

Definition at line 364 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s4s2().

◆ s4s3()

Complex ThePEG::LorentzRotation::s4s3 ( ) const

inline

The $(1,1)$ component.

Definition at line 369 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s4s3().

◆ s4s4()

Complex ThePEG::LorentzRotation::s4s4 ( ) const

inline

The $(1,1)$ component.

Definition at line 374 of file LorentzRotation.h.

References _half, and ThePEG::SpinHalfLorentzRotation::s4s4().

◆ setBoost() [1/2]

LorentzRotation & ThePEG::LorentzRotation::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 113 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::setBoost(), and ThePEG::SpinOneLorentzRotation::setBoost().

◆ setBoost() [2/2]

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

inline

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)

Definition at line 102 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::setBoost(), and ThePEG::SpinOneLorentzRotation::setBoost().

◆ setBoostX()

LorentzRotation & ThePEG::LorentzRotation::setBoostX ( double boost )

inline

Specify a boost by the given factor along the x-axis.

Parameters

boost The Lorentz boost

Definition at line 123 of file LorentzRotation.h.

References _half, _one, boost(), ThePEG::SpinOneLorentzRotation::setBoost(), and ThePEG::SpinHalfLorentzRotation::setBoostX().

◆ setBoostY()

LorentzRotation & ThePEG::LorentzRotation::setBoostY ( double boost )

inline

Specify a boost by the given factor along the y-axis.

Parameters

boost The Lorentz boost

Definition at line 133 of file LorentzRotation.h.

References _half, _one, boost(), ThePEG::SpinOneLorentzRotation::setBoost(), and ThePEG::SpinHalfLorentzRotation::setBoostY().

◆ setBoostZ()

LorentzRotation & ThePEG::LorentzRotation::setBoostZ ( double boost )

inline

Specify a boost by the given factor along the z-axis.

Parameters

boost The Lorentz boost

Definition at line 143 of file LorentzRotation.h.

References _half, _one, boost(), ThePEG::SpinOneLorentzRotation::setBoost(), and ThePEG::SpinHalfLorentzRotation::setBoostZ().

◆ setRotate()

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

inline

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

Parameters

delta	The angle
axis	The axis

Definition at line 154 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::setRotate(), and ThePEG::SpinOneLorentzRotation::setRotate().

◆ setRotateX()

LorentzRotation & ThePEG::LorentzRotation::setRotateX ( double angle )

inline

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

Parameters

angle The rotation angle

Definition at line 164 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::setRotateX(), and ThePEG::SpinOneLorentzRotation::setRotateX().

◆ setRotateY()

LorentzRotation & ThePEG::LorentzRotation::setRotateY ( double angle )

inline

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

Parameters

angle The rotation angle

Definition at line 174 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::setRotateZ(), and ThePEG::SpinOneLorentzRotation::setRotateZ().

◆ setRotateZ()

LorentzRotation & ThePEG::LorentzRotation::setRotateZ ( double angle )

inline

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

Parameters

angle The rotation angle

Definition at line 184 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::setRotateZ(), and ThePEG::SpinOneLorentzRotation::setRotateZ().

◆ transform()

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

inline

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

Definition at line 418 of file LorentzRotation.h.

References _half, _one, ThePEG::SpinHalfLorentzRotation::transform(), and ThePEG::SpinOneLorentzRotation::transform().

◆ tt()

double ThePEG::LorentzRotation::tt ( ) const

inline

The tt component.

Definition at line 291 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::tt().

◆ tx()

double ThePEG::LorentzRotation::tx ( ) const

inline

The tx component.

Definition at line 276 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::tx().

◆ ty()

double ThePEG::LorentzRotation::ty ( ) const

inline

The ty component.

Definition at line 281 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::ty().

◆ tz()

double ThePEG::LorentzRotation::tz ( ) const

inline

The tz component.

Definition at line 286 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::tz().

◆ xt()

double ThePEG::LorentzRotation::xt ( ) const

inline

The xt component.

Definition at line 231 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::xt().

◆ xx()

double ThePEG::LorentzRotation::xx ( ) const

inline

The xx component.

Definition at line 216 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::xx().

◆ xy()

double ThePEG::LorentzRotation::xy ( ) const

inline

The xy component.

Definition at line 221 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::xy().

◆ xz()

double ThePEG::LorentzRotation::xz ( ) const

inline

The xz component.

Definition at line 226 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::xz().

◆ yt()

double ThePEG::LorentzRotation::yt ( ) const

inline

The yt component.

Definition at line 251 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::yt().

◆ yx()

double ThePEG::LorentzRotation::yx ( ) const

inline

The yx component.

Definition at line 236 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::yx().

◆ yy()

double ThePEG::LorentzRotation::yy ( ) const

inline

The yy component.

Definition at line 241 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::yy().

◆ yz()

double ThePEG::LorentzRotation::yz ( ) const

inline

The yz component.

Definition at line 246 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::yz().

◆ zt()

double ThePEG::LorentzRotation::zt ( ) const

inline

The zt component.

Definition at line 271 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::zt().

◆ zx()

double ThePEG::LorentzRotation::zx ( ) const

inline

The zx component.

Definition at line 256 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::zx().

◆ zy()

double ThePEG::LorentzRotation::zy ( ) const

inline

The zy component.

Definition at line 261 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::zy().

◆ zz()

double ThePEG::LorentzRotation::zz ( ) const

inline

The zz component.

Definition at line 266 of file LorentzRotation.h.

References _one, and ThePEG::SpinOneLorentzRotation::zz().

Friends And Related Function Documentation

◆ inverseOf

LorentzRotation inverseOf ( const LorentzRotation & lt )

friend

The external inverseOf needs to be a friend.

Definition at line 529 of file LorentzRotation.h.

Member Data Documentation

◆ _half

SpinHalfLorentzRotation ThePEG::LorentzRotation::_half

private

The spin- $\frac12$ rotation.

Definition at line 517 of file LorentzRotation.h.

Referenced by boost(), boostX(), boostY(), boostZ(), half(), inverse(), isIdentity(), operator*(), operator*=(), rotate(), rotateX(), rotateY(), rotateZ(), s1s1(), s1s2(), s1s3(), s1s4(), s2s1(), s2s2(), s2s3(), s2s4(), s3s1(), s3s2(), s3s3(), s3s4(), s4s1(), s4s2(), s4s3(), s4s4(), setBoost(), setBoostX(), setBoostY(), setBoostZ(), setRotate(), setRotateX(), setRotateY(), setRotateZ(), and transform().

◆ _one

SpinOneLorentzRotation ThePEG::LorentzRotation::_one

private

The spin-1 rotation.

Definition at line 522 of file LorentzRotation.h.

Referenced by boost(), boostX(), boostY(), boostZ(), inverse(), isIdentity(), one(), operator const SpinOneLorentzRotation &(), operator*(), operator*=(), rotate(), rotateX(), rotateY(), rotateZ(), setBoost(), setBoostX(), setBoostY(), setBoostZ(), setRotate(), setRotateX(), setRotateY(), setRotateZ(), transform(), tt(), tx(), ty(), tz(), xt(), xx(), xy(), xz(), yt(), yx(), yy(), yz(), zt(), zx(), zy(), and zz().

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

LorentzRotation.h

Public Member Functions

Friends

Transformation and product members

Detailed Description

Constructor & Destructor Documentation

◆ LorentzRotation() [1/3]

◆ LorentzRotation() [2/3]

◆ LorentzRotation() [3/3]

Member Function Documentation

◆ boost() [1/2]

◆ boost() [2/2]

◆ boostX()

◆ boostY()

◆ boostZ()

◆ half()

◆ inverse()

◆ invert()

◆ isIdentity()

◆ one()

◆ operator const SpinOneLorentzRotation &()

◆ operator*() [1/3]

◆ operator*() [2/3]

◆ operator*() [3/3]

◆ operator*=()

◆ rotate()

◆ rotateX()

◆ rotateY()

◆ rotateZ()

◆ s1s1()

◆ s1s2()

◆ s1s3()

◆ s1s4()

◆ s2s1()

◆ s2s2()

◆ s2s3()

◆ s2s4()

◆ s3s1()

◆ s3s2()

◆ s3s3()

◆ s3s4()

◆ s4s1()

◆ s4s2()

◆ s4s3()

◆ s4s4()

◆ setBoost() [1/2]

◆ setBoost() [2/2]

◆ setBoostX()

◆ setBoostY()

◆ setBoostZ()

◆ setRotate()

◆ setRotateX()

◆ setRotateY()

◆ setRotateZ()

◆ transform()

◆ tt()

◆ tx()

◆ ty()

◆ tz()

◆ xt()

◆ xx()

◆ xy()

◆ xz()

◆ yt()

◆ yx()

◆ yy()

◆ yz()

◆ zt()

◆ zx()

◆ zy()

◆ zz()

Friends And Related Function Documentation

◆ inverseOf

Member Data Documentation

◆ _half

◆ _one