JSci.maths.algebras
Class su2Dim2

java.lang.Object
  JSci.maths.algebras.LieAlgebra
      JSci.maths.algebras.su2Dim2

public final class su2Dim2
extends LieAlgebra

The su2Dim2 class encapsulates su(2) algebras using the 2 dimensional (fundamental) representation. Elements are represented by 3-vectors with a matrix basis.

Version:

1.2

Author:

Mark Hale

Method Summary

ComplexSquareMatrix[]	basis() Returns the basis used to represent the Lie algebra.
ComplexSquareMatrix	getElement(DoubleVector v) Returns an element as a matrix (vector*basis).
static su2Dim2	getInstance() Singleton.
DoubleVector	multiply(DoubleVector a, DoubleVector 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 su2Dim2 getInstance()

Singleton.

getElement

public ComplexSquareMatrix getElement(DoubleVector v)

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

Specified by:

getElement in class LieAlgebra

multiply

public DoubleVector multiply(DoubleVector a,
                             DoubleVector b)

Returns the Lie bracket (commutator) of two elements. Same as the vector cross product.

Specified by:

multiply in class LieAlgebra

basis

public ComplexSquareMatrix[] basis()

Returns the basis used to represent the Lie algebra.

Specified by:

basis in class LieAlgebra