TPauliMatrix

Class Description

                                                                      
 Pauli Spinor Algebra Package                                         
                                                                      
 The present package implements all the basic algorithms dealing      
 with Pauli spinors, which form a fundamental representation of the   
 SU(2) group.  The basic classes are PauliSpinor and PauliMatrix,     
 which are 2-vectors and 2x2 matrices, respectively, of complex       
 numbers.  The generators of the group are in the standard Pauli      
 sigma matrix representation.  This package has particular members    
 to facilitate a quantum mechanical calculation in which the Pauli    
 spinor describes the spin-state of a fermion and the QM operators    
 are described by Pauli matrices.  Pauli matrices are also used to    
 describe mixed states, ensembles that contain mixtures of particles  
 described by more than one Pauli spinor.                             
									
 The standard Pauli matrices are generated by invoking the construc-	
 to with an argument of enum type EPauliIndex.  A EPauliIndex can be	
	kPauliOne,	kPauliSigma1,	kPauliSimga2,	kPauliSigma3.	
 Any 2x2 matrix can be expressed as a sum over this basis.		
                                                                      
 Spinors and matrices can be transformed under rotations according    
 to the commutation rules for the SU(2) group.  Rotations may be      
 specified either by Euler angles or by a rotation axis, or by        
 supplying a member of the TThreeRotation class defined in            
 TFourVector.h.  All angles are assumed to be in radians.             
                                                                      
 This package was developed at the University of Connecticut by       
 Richard T. Jones