cc.redberry.physics.feyncalc

Class LeviCivitaSimplifyTransformation

java.lang.Object

cc.redberry.physics.feyncalc.LeviCivitaSimplifyTransformation

All Implemented Interfaces:

cc.redberry.core.context.ToString, cc.redberry.core.transformations.Transformation, cc.redberry.core.transformations.TransformationToStringAble

public class LeviCivitaSimplifyTransformation
extends Object
implements cc.redberry.core.transformations.TransformationToStringAble

Simplifies combinations of Levi-Civita tensors.

Author:

Dmitry Bolotin, Stanislav Poslavsky

Nested Class Summary

Nested classes/interfaces inherited from interface cc.redberry.core.transformations.Transformation

cc.redberry.core.transformations.Transformation.Util

Field Summary

Fields inherited from interface cc.redberry.core.transformations.Transformation

IDENTITY

Constructor Summary

Constructors

Constructor and Description
LeviCivitaSimplifyTransformation(LeviCivitaSimplifyOptions options)
LeviCivitaSimplifyTransformation(cc.redberry.core.tensor.SimpleTensor leviCivita, boolean minkowskiSpace) Creates transformation, which simplifies combinations of Levi-Civita tensors in Euclidean or Minkowski space.
LeviCivitaSimplifyTransformation(cc.redberry.core.tensor.SimpleTensor leviCivita, boolean minkowskiSpace, cc.redberry.core.transformations.Transformation simplifications) Creates transformation, which simplifies combinations of Levi-Civita tensors in Euclidean or Minkowski space.
LeviCivitaSimplifyTransformation(cc.redberry.core.tensor.SimpleTensor leviCivita, boolean minkowskiSpace, cc.redberry.core.transformations.Transformation simplifications, cc.redberry.core.transformations.Transformation overallSimplifications) Creates transformation, which simplifies combinations of Levi-Civita tensors in Euclidean or Minkowski space.

Method Summary

Methods

Modifier and Type	Method and Description
String	toString()
String	toString(cc.redberry.core.context.OutputFormat outputFormat)
cc.redberry.core.tensor.Tensor	transform(cc.redberry.core.tensor.Tensor t)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

LeviCivitaSimplifyTransformation

public LeviCivitaSimplifyTransformation(cc.redberry.core.tensor.SimpleTensor leviCivita,
                                boolean minkowskiSpace)

Creates transformation, which simplifies combinations of Levi-Civita tensors in Euclidean or Minkowski space.

Parameters:

leviCivita - tensor, which will be considered as Levi-Civita tensor

minkowskiSpace - if true, then Levi-Civita tensor will be considered in Minkowski space (so e.g. e_abcd*e^abcd = -24), otherwise in Euclidean space (so e.g. e_abcd*e^abcd = +24)

LeviCivitaSimplifyTransformation

public LeviCivitaSimplifyTransformation(cc.redberry.core.tensor.SimpleTensor leviCivita,
                                boolean minkowskiSpace,
                                cc.redberry.core.transformations.Transformation simplifications)

Creates transformation, which simplifies combinations of Levi-Civita tensors in Euclidean or Minkowski space.

Parameters:

leviCivita - tensor, which will be considered as Levi-Civita tensor

minkowskiSpace - if true, then Levi-Civita tensor will be considered in Minkowski space (so e.g. e_abcd*e^abcd = -24), otherwise in Euclidean space (so e.g. e_abcd*e^abcd = +24)

simplifications - additional transformations applied to each simplified combination of Levi-Civita tensors

LeviCivitaSimplifyTransformation

public LeviCivitaSimplifyTransformation(cc.redberry.core.tensor.SimpleTensor leviCivita,
                                boolean minkowskiSpace,
                                cc.redberry.core.transformations.Transformation simplifications,
                                cc.redberry.core.transformations.Transformation overallSimplifications)

Creates transformation, which simplifies combinations of Levi-Civita tensors in Euclidean or Minkowski space.

Parameters:

leviCivita - tensor, which will be considered as Levi-Civita tensor

minkowskiSpace - if true, then Levi-Civita tensor will be considered in Minkowski space (so e.g. e_abcd*e^abcd = -24), otherwise in Euclidean space (so e.g. e_abcd*e^abcd = +24)

simplifications - additional transformations applied to each simplified combination of Levi-Civita tensors

overallSimplifications - additional transformations applied to each simplified product of Levi-Civita tensors

LeviCivitaSimplifyTransformation

public LeviCivitaSimplifyTransformation(LeviCivitaSimplifyOptions options)

Method Detail

transform

public cc.redberry.core.tensor.Tensor transform(cc.redberry.core.tensor.Tensor t)

Specified by:

transform in interface cc.redberry.core.transformations.Transformation

toString

public String toString()

Specified by:

toString in interface cc.redberry.core.context.ToString

Overrides:

toString in class Object

toString

public String toString(cc.redberry.core.context.OutputFormat outputFormat)

Specified by:

toString in interface cc.redberry.core.context.ToString