Trk::JacobianPxyzToPhiThetaQoverPcartesian Class Reference

Jacobian in cartesian coordinates for the transformation of momentum in Cartesian coordinates \( (px,py,pz,charge)\) to momentum in polar cordinates \((\phi,\theta,QoverP)\). More...

#include <JacobianPxyzToPhiThetaQoverPcartesian.h>

Inheritance diagram for Trk::JacobianPxyzToPhiThetaQoverPcartesian:

Collaboration diagram for Trk::JacobianPxyzToPhiThetaQoverPcartesian:

Public Member Functions
	JacobianPxyzToPhiThetaQoverPcartesian (const double px, const double py, const double pz, double charge)
	~JacobianPxyzToPhiThetaQoverPcartesian ()

Detailed Description

Jacobian in cartesian coordinates for the transformation of momentum in Cartesian coordinates \( (px,py,pz,charge)\) to momentum in polar cordinates \((\phi,\theta,QoverP)\).

The derivatives are:

• \( r = \sqrt{px\mathrm{^2}+py\mathrm{^2}+pz\mathrm{^2}} \)
• \( \frac{\partial \phi}{\partial px} = -\frac{py}{px\mathrm{^2}+py\mathrm{^2}} \)
• \( \frac{\partial \theta}{\partial px} = \frac{px\cdot pz}{r\mathrm{^2}\cdot \sqrt{px\mathrm{^2}+py\mathrm{^2}}} \)
• \( \frac{\partial qOverP}{\partial px} = -\frac{charge \cdot px}{r\mathrm{^3}} \)
• \( \frac{\partial \phi}{\partial py} = -\frac{px}{px\mathrm{^2}+py\mathrm{^2}} \)
• \( \frac{\partial \theta}{\partial py} = \frac{py\cdot pz}{r\mathrm{^2}\cdot \sqrt{px\mathrm{^2}+py\mathrm{^2}}}\)
• \( \frac{\partial QoverP}{\partial py} = -\frac{charge \cdot py}{r\mathrm{^3}} \)
• \( \frac{\partial \phi}{\partial pz} = 0 \)
• \( \frac{\partial \theta}{\partial pz} = \frac{px\mathrm{^2}+py\mathrm{^2}}{r\mathrm{^2} \cdot \sqrt{px\mathrm{^2}+py\mathrm{^2}}} \)
• \( \frac{\partial pz}{\partial qOverP} = \frac{charge \cdot pz}{r\mathrm{^3}} \)

Author

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

Definition at line 39 of file JacobianPxyzToPhiThetaQoverPcartesian.h.

Constructor & Destructor Documentation

JacobianPxyzToPhiThetaQoverPcartesian()

Trk::JacobianPxyzToPhiThetaQoverPcartesian::JacobianPxyzToPhiThetaQoverPcartesian	(	const double	px,
		const double	py,
		const double	pz,
		double	charge
	)

Definition at line 12 of file JacobianPxyzToPhiThetaQoverPcartesian.cxx.

                                                                                                                                               :
    AmgMatrix(3,3)()
{   
    // initialize to zero
    this->setZero();
 
    double r = std::pow(px,2) + std::pow(py,2) + std::pow(pz,2);
    double l = std::pow(px,2) + std::pow(py,2);
    (*this)(0,0) = -py/l;
    (*this)(0,1) = px/l;
    (*this)(0,2) = 0.;
    (*this)(1,0) = px*pz/(r*std::sqrt(l));
    (*this)(1,1) = py*pz/(r*std::sqrt(l));
    (*this)(1,2) = -std::sqrt(l)/r;
    (*this)(2,0) = -charge*px/std::pow(std::sqrt(r),3);
    (*this)(2,1) = -charge*py/std::pow(std::sqrt(r),3);
    (*this)(2,2) = -charge*pz/std::pow(std::sqrt(r),3);
 
}

~JacobianPxyzToPhiThetaQoverPcartesian()

Trk::JacobianPxyzToPhiThetaQoverPcartesian::~JacobianPxyzToPhiThetaQoverPcartesian ( )

inline

Definition at line 42 of file JacobianPxyzToPhiThetaQoverPcartesian.h.

{}

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

• JacobianPxyzToPhiThetaQoverPcartesian.h
• JacobianPxyzToPhiThetaQoverPcartesian.cxx