Class : AbstractSpinChain

class deriving from AbstractHilbertSpace

~AbstractSpinChain :

prototype: virtual ~AbstractSpinChain ()

description:virtual destructor



TotalSz :

prototype: virtual int TotalSz (int state )

description:

return value: return value of spin projection on (Oz) for a given state


input parameters:
Str = reference on current output stream


return value: spin projection on (Oz)



Sxi :

prototype: virtual Matrix& Sxi (int , Matrix& M )

description:return matrix representation of Sx


input parameters:
i = operator position
M = matrix where representation has to be stored


return value: corresponding matrix



Syi :

prototype: virtual Matrix& Syi (int , Matrix& M )

description:return matrix representation of i * Sy


input parameters:
i = operator position
M = matrix where representation has to be stored


return value: corresponding matrix



Szi :

prototype: virtual Matrix& Szi (int , Matrix& M )

description:return matrix representation of Sz


input parameters:
i = operator position
M = matrix where representation has to be stored


return value: corresponding matrix



Spi :

prototype: virtual int Spi (int , int , double& coefficient )

description:return index of resulting state from application of S+_i operator on a given state


input parameters:
i = position of S+ operator
state = index of the state to be applied on S+_i operator
coefficient = reference on double where numerical coefficient has to be stored


return value: index of resulting state



Smi :

prototype: virtual int Smi (int , int , double& coefficient )

description:return index of resulting state from application of S-_i operator on a given state


input parameters:
i = position of S- operator
state = index of the state to be applied on S-_i operator
coefficient = reference on double where numerical coefficient has to be stored


return value: index of resulting state



Szi :

prototype: virtual int Szi (int , int , double& coefficient )

description:return index of resulting state from application of Sz_i operator on a given state


input parameters:
i = position of Sz operator
state = index of the state to be applied on Sz_i operator
coefficient = reference on double where numerical coefficient has to be stored


return value: index of resulting state



SziSzj :

prototype: virtual double SziSzj (int , int , int state )

description:return eigenvalue of Sz_i Sz_j associated to a given state


input parameters:
i = first position
j = second position
state = index of the state to consider


return value: corresponding eigenvalue



SpiSpj :

prototype: virtual int SpiSpj (int , int , int , double& coefficient )

description:return index of resulting state from application of S+_i S+_j operator on a given state


input parameters:
i = position of first S+ operator
j = position of second S+ operator
state = index of the state to be applied on S+_i S+_j operator
coefficient = reference on double where numerical coefficient has to be stored


return value: index of resulting state



SmiSmj :

prototype: virtual int SmiSmj (int , int , int , double& coefficient )

description:return index of resulting state from application of S-_i S-_j operator on a given state


input parameters:
i = position of first S- operator
j = position of second S- operator
state = index of the state to be applied on S-_i S-_j operator
coefficient = reference on double where numerical coefficient has to be stored


return value: index of resulting state



SpiSzj :

prototype: virtual int SpiSzj (int , int , int , double& coefficient )

description:return index of resulting state from application of S+_i Sz_j operator on a given state


input parameters:
i = position of S+ operator
j = position of Sz operator
state = index of the state to be applied on S+_i Sz_j operator
coefficient = reference on double where numerical coefficient has to be stored


return value: index of resulting state



SmiSzj :

prototype: virtual int SmiSzj (int , int , int , double& coefficient )

description:return index of resulting state from application of S-_i Sz_j operator on a given state


input parameters:
i = position of S- operator
j = position of Sz operator
state = index of the state to be applied on S-_i Sz_j operator
coefficient = reference on double where numerical coefficient has to be stored


return value: index of resulting state



SmiSpj :

prototype: virtual int SmiSpj (int , int , int , double& coefficient )

description:return index of resulting state from application of S-_i S+_j operator on a given state


input parameters:
i = position of S- operator
j = position of S+ operator
state = index of the state to be applied on S-_i S+_j operator
coefficient = reference on double where numerical coefficient has to be stored


return value: index of resulting state



FindStateIndex :

prototype: virtual int FindStateIndex (unsigned long state )

description:find state index


input parameters:
state = state description


return value: corresponding index



Back to index.