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java.lang.ObjectJSci.maths.Matrix
JSci.maths.ComplexMatrix
JSci.maths.ComplexSquareMatrix
JSci.physics.quantum.GammaMatrix
public final class GammaMatrix
The GammaMatrix class provides an object for encapsulating the gamma matrices.
Field Summary | |
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static GammaMatrix |
Y0_D
Gamma 0 matrix (Dirac representation). |
static GammaMatrix |
Y0_M
Gamma 0 matrix (Majorana representation). |
static GammaMatrix |
Y0_W
Gamma 0 matrix (Weyl representation). |
static GammaMatrix |
Y1_D
Gamma 1 matrix (Dirac representation). |
static GammaMatrix |
Y1_M
Gamma 1 matrix (Majorana representation). |
static GammaMatrix |
Y1_W
Gamma 1 matrix (Weyl representation). |
static GammaMatrix |
Y2_D
Gamma 2 matrix (Dirac representation). |
static GammaMatrix |
Y2_M
Gamma 2 matrix (Majorana representation). |
static GammaMatrix |
Y2_W
Gamma 2 matrix (Weyl representation). |
static GammaMatrix |
Y3_D
Gamma 3 matrix (Dirac representation). |
static GammaMatrix |
Y3_M
Gamma 3 matrix (Majorana representation). |
static GammaMatrix |
Y3_W
Gamma 3 matrix (Weyl representation). |
static GammaMatrix |
Y5_D
Gamma 5 matrix (Dirac representation). |
static GammaMatrix |
Y5_M
Gamma 5 matrix (Majorana representation). |
static GammaMatrix |
Y5_W
Gamma 5 matrix (Weyl representation). |
Fields inherited from class JSci.maths.ComplexSquareMatrix |
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LU, LUpivot |
Fields inherited from class JSci.maths.ComplexMatrix |
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ARRAY_2D, matrixIm, matrixRe |
Fields inherited from class JSci.maths.Matrix |
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CLASS_SPECIFIC, numCols, numRows, storageFormat |
Method Summary | |
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Complex |
det()
Returns the determinant. |
boolean |
isUnitary()
Returns true if this matrix is unitary. |
Complex |
trace()
Returns the trace. |
Methods inherited from class JSci.maths.ComplexSquareMatrix |
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add, add, conjugate, hermitianAdjoint, inverse, involution, isHermitian, luDecompose, mapElements, multiply, multiply, norm, operatorNorm, polarDecompose, scalarMultiply, scalarMultiply, subtract, subtract, transpose |
Methods inherited from class JSci.maths.ComplexMatrix |
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add, directSum, equals, finalize, frobeniusNorm, getElement, hashCode, imag, infNorm, multiply, multiply, negate, real, scalarDivide, scalarDivide, scalarDivide, scalarMultiply, setElement, setElement, subtract, tensorProduct, toString |
Methods inherited from class JSci.maths.Matrix |
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columns, getInvalidElementMsg, rows |
Methods inherited from class java.lang.Object |
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clone, getClass, notify, notifyAll, wait, wait, wait |
Methods inherited from interface JSci.maths.fields.Ring.Member |
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multiply |
Methods inherited from interface JSci.maths.algebras.VectorSpace.Member |
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scalarDivide |
Methods inherited from interface JSci.maths.algebras.Module.Member |
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scalarMultiply |
Field Detail |
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public static final GammaMatrix Y0_D
public static final GammaMatrix Y1_D
public static final GammaMatrix Y2_D
public static final GammaMatrix Y3_D
public static final GammaMatrix Y5_D
public static final GammaMatrix Y0_W
public static final GammaMatrix Y1_W
public static final GammaMatrix Y2_W
public static final GammaMatrix Y3_W
public static final GammaMatrix Y5_W
public static final GammaMatrix Y0_M
public static final GammaMatrix Y1_M
public static final GammaMatrix Y2_M
public static final GammaMatrix Y3_M
public static final GammaMatrix Y5_M
Method Detail |
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public boolean isUnitary()
isUnitary
in class ComplexSquareMatrix
public Complex det()
det
in class ComplexSquareMatrix
public Complex trace()
trace
in class ComplexSquareMatrix
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