Trk::JacobianPhiThetaQoverPToPxyz Class Reference

Jacobian for the transformation of momentum in polar coordinates \( (\phi,\theta,qOverP)\) to momentum in Cartesian coordinates \((px, py, pz)\) : More...

#include <JacobianPhiThetaQoverPToPxyz.h>

Inheritance diagram for Trk::JacobianPhiThetaQoverPToPxyz:

Collaboration diagram for Trk::JacobianPhiThetaQoverPToPxyz:

Public Member Functions
	JacobianPhiThetaQoverPToPxyz (const double phi, const double theta, const double QoverP)
	~JacobianPhiThetaQoverPToPxyz ()

Detailed Description

Jacobian for the transformation of momentum in polar coordinates \( (\phi,\theta,qOverP)\) to momentum in Cartesian coordinates \((px, py, pz)\) :

• \( \frac{\partial px}{\partial \phi} = -\frac{sin \phi \cdot sin \theta}{|qOverP|} \)
  
• \( \frac{\partial px}{\partial \theta} = \frac{cos \phi \cdot cos \theta}{|qOverP|} \)
  
• \( \frac{\partial px}{\partial qOverP} = -(+)\frac{cos \phi \cdot sin \theta}{qOverP \mathrm{^2}} \)
  the sign depends on the charge sign (if charge > 0 sign = " - ")
• \( \frac{\partial py}{\partial \phi} = \frac{cos \phi \cdot sin \theta}{|qOverP|} \)
  
• \( \frac{\partial py}{\partial \theta} = \frac{sin \phi \cdot cos \theta}{|qOverP|} \)
  
• \( \frac{\partial py}{\partial qOverP} = -(+)\frac{sin \phi \cdot sin \theta}{qOverP \mathrm{^2}} \)
  
• \( \frac{\partial pz}{\partial \phi} = 0 \)
  
• \( \frac{\partial pz}{\partial \theta} = -\frac{sin \theta}{|qOverP|} \)
  
• \( \frac{\partial pz}{\partial qOverP} = -(+)\frac{cos \theta}{qOverP \mathrm{^2}} \)
  

Author

Tatja.nosp@m.na.L.nosp@m.enz@c.nosp@m.ern..nosp@m.ch

Definition at line 36 of file JacobianPhiThetaQoverPToPxyz.h.

Constructor & Destructor Documentation

JacobianPhiThetaQoverPToPxyz()

Trk::JacobianPhiThetaQoverPToPxyz::JacobianPhiThetaQoverPToPxyz	(	const double	phi,
		const double	theta,
		const double	QoverP )

Definition at line 12 of file JacobianPhiThetaQoverPToPxyz.cxx.

                                                                                                                      :
    AmgMatrix(3,3)()
{
    double p = 1/std::fabs(qOverP);
    double sign = - std::fabs(qOverP)/qOverP;
    (*this)(0,0) = -std::sin(phi)*std::sin(theta)/std::fabs(qOverP);
    (*this)(0,1) = std::cos(phi)*std::cos(theta)/std::fabs(qOverP);
    (*this)(0,2) = sign*std::pow(p,2)*std::cos(phi)*std::sin(theta);
    (*this)(1,0) = std::cos(phi)*std::sin(theta)/std::fabs(qOverP);
    (*this)(1,1) = std::sin(phi)*std::cos(theta)/std::fabs(qOverP);
    (*this)(1,2) = sign*std::pow(p,2)*std::sin(phi)*std::sin(theta);
    (*this)(2,0) = 0.;
    (*this)(2,1) = -std::sin(theta)/std::fabs(qOverP);
    (*this)(2,2) = sign*std::pow(p,2)*std::cos(theta);
 
}

~JacobianPhiThetaQoverPToPxyz()

Trk::JacobianPhiThetaQoverPToPxyz::~JacobianPhiThetaQoverPToPxyz ( )

inline

Definition at line 39 of file JacobianPhiThetaQoverPToPxyz.h.

{}

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

• JacobianPhiThetaQoverPToPxyz.h
• JacobianPhiThetaQoverPToPxyz.cxx