thepeg is hosted by Hepforge, IPPP Durham
ThePEG  2.1.5
SpinHalfLorentzRotation.h
1 // -*- C++ -*-
2 //
3 // SpinHalfLorentzRotation.h is a part of ThePEG - Toolkit for HEP Event Generation
4 // Copyright (C) 1999-2017 Leif Lonnblad
5 //
6 // ThePEG is licenced under version 3 of the GPL, see COPYING for details.
7 // Please respect the MCnet academic guidelines, see GUIDELINES for details.
8 //
9 #ifndef THEPEG_SpinHalfLorentzRotation_H
10 #define THEPEG_SpinHalfLorentzRotation_H
11 //
12 // This is the declaration of the SpinHalfLorentzRotation class.
13 //
15 #include "ThreeVector.h"
16 
17 namespace ThePEG {
18 
32 
37 
38 public:
39 
42 
47 
55  SpinHalfLorentzRotation (double bx, double by, double bz, double gamma=-1.);
56 
62  SpinHalfLorentzRotation (const Boost & b,double gamma=-1.);
64 
68  bool isIdentity() const;
69 
74 
78  SpinHalfLorentzRotation & invert() { return *this = inverse(); }
79 
83  std::ostream & print( std::ostream & os ) const;
84 
87 
95  SpinHalfLorentzRotation & setBoost (double bx, double by, double bz,double gamma=-1.);
96 
102  SpinHalfLorentzRotation & setBoost (const Boost & b,double gamma=-1.);
103 
109 
114  SpinHalfLorentzRotation & setBoostY (double & boost);
115 
120  SpinHalfLorentzRotation & setBoostZ (double & boost);
121 
127  SpinHalfLorentzRotation & setRotate(double delta, const Axis & axis);
128 
133  SpinHalfLorentzRotation & setRotateX (double & angle);
134 
139  SpinHalfLorentzRotation & setRotateY (double & angle);
140 
145  SpinHalfLorentzRotation & setRotateZ (double & angle);
146 
148 
149 
155  Complex s1s1() const { return _mx[0][0]; }
156 
160  Complex s1s2() const { return _mx[0][1]; }
161 
165  Complex s1s3() const { return _mx[0][2]; }
166 
170  Complex s1s4() const { return _mx[0][3]; }
171 
175  Complex s2s1() const { return _mx[1][0]; }
176 
180  Complex s2s2() const { return _mx[1][1]; }
181 
185  Complex s2s3() const { return _mx[1][2]; }
186 
190  Complex s2s4() const { return _mx[1][3]; }
191 
195  Complex s3s1() const { return _mx[2][0]; }
196 
200  Complex s3s2() const { return _mx[2][1]; }
201 
205  Complex s3s3() const { return _mx[2][2]; }
206 
210  Complex s3s4() const { return _mx[2][3]; }
211 
215  Complex s4s1() const { return _mx[3][0]; }
216 
220  Complex s4s2() const { return _mx[3][1]; }
221 
225  Complex s4s3() const { return _mx[3][2]; }
226 
230  Complex s4s4() const { return _mx[3][3]; }
231 
235  Complex operator()(unsigned int i, unsigned int j) const {
236  assert(i<=3 && j<=3);
237  return _mx[i][j];
238  }
240 
241 
244 
250 
255 
260 
264  SpinHalfLorentzRotation & rotateX(double delta);
265 
269  SpinHalfLorentzRotation & rotateY(double delta);
270 
274  SpinHalfLorentzRotation & rotateZ(double delta);
275 
279  SpinHalfLorentzRotation & rotate(double delta, const Axis & axis);
280 
284  SpinHalfLorentzRotation & boostX(double beta);
285 
289  SpinHalfLorentzRotation & boostY(double beta);
290 
294  SpinHalfLorentzRotation & boostZ(double beta);
295 
303  SpinHalfLorentzRotation & boost(double bx, double by, double bz, double gamma=-1.);
304 
310  SpinHalfLorentzRotation & boost(const Boost & bv, double gamma=-1.);
312 
313 protected:
314 
323 
324 private:
325 
326  using MatrixT = array<array<Complex,4>,4>;
327 
328  SpinHalfLorentzRotation(const MatrixT & m) : _mx(m) {}
329 
333  MatrixT _mx;
334 };
335 
340  return lt.inverse();
341 }
342 
346 inline std::ostream & operator<< ( std::ostream & os,
347  const SpinHalfLorentzRotation& lt ) {
348  return lt.print(os);
349 }
350 
351 }
352 
353 #endif /* THEPEG_SpinHalfLorentzRotation_H */
Complex s4s4() const
The component.
Complex s1s1() const
The component.
SpinHalfLorentzRotation & boostY(double beta)
Pure boost along the y-axis; equivalent to LT = BoostX(beta) * LT.
SpinHalfLorentzRotation & setBoostZ(double &boost)
Specify a boost by the given factor along the z-axis.
std::complex< double > Complex
ThePEG code should use Complex for all complex scalars.
Definition: Complex.h:23
bool isIdentity() const
Returns true if the Identity matrix.
SpinHalfLorentzRotation & rotateY(double delta)
Rotation around the y-axis; equivalent to LT = RotationY(delta) * LT.
Complex s1s4() const
The component.
SpinHalfLorentzRotation & setBoostY(double &boost)
Specify a boost by the given factor along the y-axis.
Complex s4s1() const
The component.
This file contains enumerations used by LorentzSpinor and LorentzSpinorBar classes.
Complex s3s1() const
The component.
A 3-component vector.
Definition: ThreeVector.h:34
SpinHalfLorentzRotation inverse() const
Return the inverse.
SpinHalfLorentzRotation & rotateX(double delta)
Rotation around the x-axis; equivalent to LT = RotationX(delta) * LT.
This is the main namespace within which all identifiers in ThePEG are declared.
Definition: FactoryBase.h:28
Complex s2s3() const
The component.
MatrixT _mx
The members of the transformation matrix.
friend SpinHalfLorentzRotation inverseOf(const SpinHalfLorentzRotation &lt)
The external inverseOf needs to be a friend.
Complex s3s3() const
The component.
SpinHalfLorentzRotation & transform(const SpinHalfLorentzRotation &)
Transform (similar to *= but a.transform(b) becomes a = b*a.
SpinHalfLorentzRotation & setBoostX(double &boost)
Specify a boost by the given factor along the x-axis.
Complex s4s2() const
The component.
SpinHalfLorentzRotation()
Default constructor.
Complex s4s3() const
The component.
contains the ThreeVector class.
Complex s2s4() const
The component.
Complex s3s4() const
The component.
SpinHalfLorentzRotation & setRotateZ(double &angle)
Specify a rotation by the given angle about the z-axis.
SpinHalfLorentzRotation & setRotate(double delta, const Axis &axis)
Specify a rotation about a general axis by the angle given.
SpinHalfLorentzRotation & invert()
Inverts the SpinHalfLorentzRotation matrix.
Complex s1s2() const
The component.
SpinHalfLorentzRotation & boostX(double beta)
Pure boost along the x-axis; equivalent to LT = BoostX(beta) * LT.
SpinHalfLorentzRotation & setRotateX(double &angle)
Specify a rotation by the given angle about the x-axis.
SpinHalfLorentzRotation operator*(const SpinHalfLorentzRotation &lt) const
Product of two SpinHalfLorentzRotations (this) * lt - matrix multiplication.
SpinHalfLorentzRotation & boostZ(double beta)
Pure boost along the z-axis; equivalent to LT = BoostX(beta) * LT.
Complex operator()(unsigned int i, unsigned int j) const
Fortran style subscript operator.
Complex s2s1() const
The component.
SpinHalfLorentzRotation & boost(double bx, double by, double bz, double gamma=-1.)
General boost equivalent to LT = Boost(bx,by,bz) * LT.
SpinHalfLorentzRotation & setRotateY(double &angle)
Specify a rotation by the given angle about the y-axis.
SpinHalfLorentzRotation & rotateZ(double delta)
Rotation around the z-axis; equivalent to LT = RotationZ(delta) * LT.
vector< T > & operator<<(vector< T > &tv, const U &u)
Overload the left shift operator for vector to push_back objects to a vector.
Definition: Containers.h:179
The SpinHalfLorentzRotation class is designed to offer the same features as the HepLorentzRotation cl...
Complex s3s2() const
The component.
std::ostream & print(std::ostream &os) const
output operator
Complex s2s2() const
The component.
SpinHalfLorentzRotation & operator*=(const SpinHalfLorentzRotation &)
Multiply by and assign a*=b becomes a= a*b.
SpinHalfLorentzRotation & rotate(double delta, const Axis &axis)
Rotation around specified vector - LT = Rotation(delta,axis)*LT.
SpinHalfLorentzRotation & setBoost(double bx, double by, double bz, double gamma=-1.)
Specify the components of a Lorentz Boost.
Complex s1s3() const
The component.