ThePEG::SpinOneLorentzRotation Class Reference

The SpinOneLorentzRotation class is . More...

#include <SpinOneLorentzRotation.h>

List of all members.

Public Member Functions

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

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.

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.

Transformation and product members

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

Private Member Functions

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.

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_ ()

Private Attributes

vector< double > matrix_

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

Friends

class Helicity::LorentzTensor

class Helicity::LorentzRSSpinor

class Helicity::LorentzRSSpinorBar

Detailed Description

The SpinOneLorentzRotation class is .

..

Definition at line 24 of file SpinOneLorentzRotation.h.

Constructor & Destructor Documentation

ThePEG::SpinOneLorentzRotation::SpinOneLorentzRotation ( ) [inline]

Default constructor.

Gives a unit matrix.

Definition at line 33 of file SpinOneLorentzRotation.h.

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

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 44 of file SpinOneLorentzRotation.h.

References setBoost().

ThePEG::SpinOneLorentzRotation::SpinOneLorentzRotation	(	const Boost &	b,
		double	gamma = `-1.`
	)			`[inline, explicit]`

Constructor giving the vector for a Lorentz boost.

Parameters:

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

Definition at line 54 of file SpinOneLorentzRotation.h.

References setBoost(), ThePEG::ThreeVector< Value >::x(), ThePEG::ThreeVector< Value >::y(), and ThePEG::ThreeVector< Value >::z().

Member Function Documentation

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().

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 97 of file SpinOneLorentzRotation.h.

References setBoost(), ThePEG::ThreeVector< Value >::x(), ThePEG::ThreeVector< Value >::y(), and ThePEG::ThreeVector< Value >::z().

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().

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().

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().

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().

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

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

Parameters:

lt

The LorentzRotation we are multiplying

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 325 of file SpinOneLorentzRotation.h.

References SpinOneLorentzRotation().

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

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 335 of file SpinOneLorentzRotation.h.

References SpinOneLorentzRotation(), ThePEG::ThreeVector< Value >::x(), ThePEG::ThreeVector< Value >::y(), and ThePEG::ThreeVector< Value >::z().

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

SpinOneLorentzRotation.h


Public Member Functions
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
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.
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.
Transformation and product members
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= ab.
SpinOneLorentzRotation &	transform (const SpinOneLorentzRotation &lt)
	Transform (similar to = but a.transform(b) becomes a = ba.
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
Private Member Functions
	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.
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_ ()
Private Attributes
vector< double >	matrix_
	Matrix components, order: $(xx, xy, \ldots, tz, tt)$ .
Friends
class	Helicity::LorentzTensor
class	Helicity::LorentzRSSpinor
class	Helicity::LorentzRSSpinorBar