static void TestLorentzTransform(EuclideanVector3 v)
{
LorentzVectorVariableU x0 = new LorentzVectorVariableU("t", "x", "y", "z");
LorentzVectorU x1 = x0.Transform(v);
LorentzVectorU x2 = x1.Transform(-v);
Assert.AreEqual(x0, x2);
Assert.AreEqual(LorentzMatrixUL.One, LorentzTransform.Matrix(v) * LorentzTransform.Matrix(-v));
}
public LorentzVectorOperatorU Transform(EuclideanVector3 velocity)
{
return(LorentzTransform.Matrix(velocity) * this);
}
public RelativisticParticle Transform(EuclideanVector3 velocity)
{
LorentzMatrixUL L = LorentzTransform.Matrix(velocity);
return new RelativisticParticle(this.Mass, L * this.Position, this.InvariantTimeDerivative);
}
public ElectromagneticField Transform(EuclideanVector3 velocity)
{
LorentzMatrixUL L = LorentzTransform.Matrix(velocity);
return(new ElectromagneticField(L * this.Potential, L.Invert() * this.Del));
}
public LorentzVectorL Transform(EuclideanVector3 velocity)
{
return(this * LorentzTransform.Matrix(velocity));
}
