Class : AbstractSpinChainWithTranslations
~AbstractSpinChainWithTranslations :
prototype: virtual ~AbstractSpinChainWithTranslations ()
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)
TotalSzSz :
prototype: virtual double TotalSzSz (int index )
description:
return value: return value of the value of the sum of the square of spin projection on (Oz)
input parameters:
index = index of the state to test
return value: twice spin projection on (Oz)
GetMomentum :
prototype: virtual int GetMomentum ()
description:get the momentum of each state in the current Hilbert space
input parameters:
return value: momentum value
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& , int& nbrTranslation )
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
nbrTranslations = reference on the number of translations to applied to the resulting state to obtain the return orbit describing state
return value: index of resulting state
SmiSmj :
prototype: virtual int SmiSmj (int , int , int , double& , int& nbrTranslation )
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
nbrTranslations = reference on the number of translations to applied to the resulting state to obtain the return orbit describing state
return value: index of resulting state
SpiSpi :
prototype: virtual int SpiSpi (int , int , double& , int& nbrTranslation )
description:return index of resulting state from application of S+_i S+_i operator on a given state
input parameters:
i = position of first S+ operator
state = index of the state to be applied on S+_i S+_i operator
coefficient = reference on double where numerical coefficient has to be stored
nbrTranslations = reference on the number of translations to applied to the resulting state to obtain the return orbit describing state
return value: index of resulting state
SmiSmi :
prototype: virtual int SmiSmi (int , int , double& , int& nbrTranslation )
description:return index of resulting state from application of S-_i S-_i operator on a given state
input parameters:
i = position of the S- operator
state = index of the state to be applied on S-_i S-_i operator
coefficient = reference on double where numerical coefficient has to be stored
nbrTranslations = reference on the number of translations to applied to the resulting state to obtain the return orbit describing state
return value: index of resulting state
SpiSzj :
prototype: virtual int SpiSzj (int , int , int , double& , int& nbrTranslation )
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
nbrTranslations = reference on the number of translations to applied to the resulting state to obtain the return orbit describing state
return value: index of resulting state
SmiSzj :
prototype: virtual int SmiSzj (int , int , int , double& , int& nbrTranslation )
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
nbrTranslations = reference on the number of translations to applied to the resulting state to obtain the return orbit describing state
return value: index of resulting state
SmiSpj :
prototype: virtual int SmiSpj (int , int , int , double& , int& nbrTranslation )
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
nbrTranslations = reference on the number of translations to applied to the resulting state to obtain the return orbit describing state
return value: index of resulting state (orbit index)
Spi :
prototype: virtual int Spi (int , int , double& , int& nbrTranslation )
description:return index of resulting state from application of S+_i operator on a given state (only valid if there is no constraint on total Sz)
input parameters:
i = operator position
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
nbrTranslations = reference on the number of translations to applied to the resulting state to obtain the return orbit describing state
return value: index of resulting state
Smi :
prototype: virtual int Smi (int , int , double& , int& nbrTranslation )
description:return index of resulting state from application of S-_i operator on a given state (only valid if there is no constraint on total Sz)
input parameters:
i = operator position
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
nbrTranslations = reference on the number of translations to applied to the resulting state to obtain the return orbit describing state
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
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