JSci.maths.algebras
Class su3Dim3

java.lang.Object
  JSci.maths.algebras.LieAlgebra
      JSci.maths.algebras.su3Dim3

public final class su3Dim3
extends LieAlgebra

The su3Dim3 class encapsulates su(3) algebras using the 3 dimensional (fundamental) representation. Elements are represented by vectors with a matrix basis.

Method Summary

AbstractComplexSquareMatrix[]	basis() Returns the basis used to represent the Lie algebra.
AbstractComplexSquareMatrix	getElement(AbstractDoubleVector v) Returns an element as a matrix (vector*basis).
static su3Dim3	getInstance() Singleton.
AbstractDoubleVector	multiply(AbstractDoubleVector a, AbstractDoubleVector b) Returns the Lie bracket (commutator) of two elements.

Methods inherited from class JSci.maths.algebras.LieAlgebra

toString

Methods inherited from class java.lang.Object

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

Method Detail

getInstance

public static final su3Dim3 getInstance()

Singleton.

getElement

public AbstractComplexSquareMatrix getElement(AbstractDoubleVector v)

Returns an element as a matrix (vector*basis).

Specified by:

getElement in class LieAlgebra

multiply

public AbstractDoubleVector multiply(AbstractDoubleVector a,
                                     AbstractDoubleVector b)

Returns the Lie bracket (commutator) of two elements.

Specified by:

multiply in class LieAlgebra

basis

public AbstractComplexSquareMatrix[] basis()

Returns the basis used to represent the Lie algebra.

Specified by:

basis in class LieAlgebra