Class : FermionOnTorusWithSpin
FermionOnTorusWithSpin :
prototype: FermionOnTorusWithSpin (int , int maxMomentum )
description:basic constructor
input parameters:
nbrFermions = number of fermions
maxMomentum = momentum maximum value for a fermion
FermionOnTorusWithSpin :
prototype: FermionOnTorusWithSpin (int , int , int totalSpinMomentum )
description:constructor with a constraint on total spin momentum
input parameters:
nbrFermions = number of fermions
maxMomentum = momentum maximum value for a fermion
totalSpinMomentum = twice the total spin momentum to be used as constraint
FermionOnTorusWithSpin :
prototype: FermionOnTorusWithSpin (int , int , int , int momentumConstaint )
description:constructor with a constraint on total spin momentum and total momentum
input parameters:
nbrFermions = number of fermions
maxMomentum = momentum maximum value for a fermion
totalSpinMomentum = twice the total spin momentum to be used as constraint
momentumConstraint = index of the momentum orbit
FermionOnTorusWithSpin :
prototype: FermionOnTorusWithSpin (int , int , int , int , unsigned int* ,
int* , bool momentumConstraintFlag = , int momentumConstraint = 0 )
description:constructor from full datas
input parameters:
nbrFermions = number of fermions
maxMomentum = momentum maximum value for a fermion
totalSpinMomentum = twice the total spin momentum to be used as constraint
hilbertSpaceDimension = Hilbert space dimension
stateDescription = array describing each state
stateMaxMomentum = array giving maximum Lz value reached for a fermion in a given state
momentumConstraintFlag = flag for momementum constraint
momentumConstraint = index of the momentum orbit
FermionOnTorusWithSpin :
prototype: FermionOnTorusWithSpin (const FermionOnTorusWithSpin& fermions )
description:copy constructor (without duplicating datas)
input parameters:
fermions = reference on the hilbert space to copy to copy
~FermionOnTorusWithSpin :
prototype: ~FermionOnTorusWithSpin ()
description:destructor
operator = :
prototype: FermionOnTorusWithSpin& operator = (const FermionOnTorusWithSpin& fermions )
description:assignement (without duplicating datas)
input parameters:
fermions = reference on the hilbert space to copy to copy
return value: reference on current hilbert space
Clone :
prototype: AbstractHilbertSpace* Clone ()
description:clone Hilbert space (without duplicating datas)
input parameters:
return value: pointer to cloned Hilbert space
GetParticleStatistic :
prototype: int GetParticleStatistic ()
description:get the particle statistic
input parameters:
return value: particle statistic
GetQuantumNumbers :
prototype: List GetQuantumNumbers ()
description:return a list of all possible quantum numbers
input parameters:
return value: pointer to corresponding quantum number
GetQuantumNumber :
prototype: AbstractQuantumNumber* GetQuantumNumber (int index )
description:return quantum number associated to a given state
input parameters:
index = index of the state
return value: pointer to corresponding quantum number
GetMomentumValue :
prototype: int GetMomentumValue (int index )
description:get momemtum value of a given state
input parameters:
index = state index
return value: state momentum
ExtractSubspace :
prototype: AbstractHilbertSpace* ExtractSubspace (AbstractQuantumNumber& ,
SubspaceSpaceConverter& converter )
description:extract subspace with a fixed quantum number
input parameters:
q = quantum number value
converter = reference on subspace-space converter to use
return value: pointer to the new subspace
SumAudAu :
prototype: int SumAudAu (int , double& coefficient )
description:apply sum_m au^+_m au_m operator to a given state
input parameters:
index = index of the state on which the operator has to be applied
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
SumAddAd :
prototype: int SumAddAd (int , double& coefficient )
description:apply sum_m ad^+_m ad_m operator to a given state
input parameters:
index = index of the state on which the operator has to be applied
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
AudAu :
prototype: int AudAu (int , int , double& coefficient )
description:apply au^+_m au_m operator to a given state
input parameters:
index = index of the state on which the operator has to be applied
m = index for density operator
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
AddAd :
prototype: int AddAd (int , int , double& coefficient )
description:apply ad^+_m ad_m operator to a given state
input parameters:
index = index of the state on which the operator has to be applied
m = index for density operator
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
AudAudAuAu :
prototype: int AudAudAuAu (int , int , int , int , int , double& coefficient )
description:apply au^+_m1 au^+_m2 au_n1 au_n2 operator to a given state (with m1+m2=n1+n2[MaxMomentum])
input parameters:
index = index of the state on which the operator has to be applied
m1 = first index for creation operator
m2 = second index for creation operator
n1 = first index for annihilation operator
n2 = second index for annihilation operator
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
AddAddAdAd :
prototype: int AddAddAdAd (int , int , int , int , int , double& coefficient )
description:apply ad^+_m1 ad^+_m2 ad_n1 ad_n2 operator to a given state (with m1+m2=n1+n2[MaxMomentum])
input parameters:
index = index of the state on which the operator has to be applied
m1 = first index for creation operator
m2 = second index for creation operator
n1 = first index for annihilation operator
n2 = second index for annihilation operator
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
AddAddAuAu :
prototype: int AddAddAuAu (int , int , int , int , int , double& coefficient )
description:apply ad^+_m1 ad^+_m2 au_n1 au_n2 operator to a given state (with m1+m2=n1+n2[MaxMomentum])
input parameters:
index = index of the state on which the operator has to be applied
m1 = first index for creation operator
m2 = second index for creation operator
n1 = first index for annihilation operator
n2 = second index for annihilation operator
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
AudAudAdAd :
prototype: int AudAudAdAd (int , int , int , int , int , double& coefficient )
description:apply au^+_m1 au^+_m2 ad_n1 ad_n2 operator to a given state (with m1+m2=n1+n2[MaxMomentum])
input parameters:
index = index of the state on which the operator has to be applied
m1 = first index for creation operator
m2 = second index for creation operator
n1 = first index for annihilation operator
n2 = second index for annihilation operator
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
AudAudAuAd :
prototype: int AudAudAuAd (int , int , int , int , int , double& coefficient )
description:apply au^+_m1 au^+_m2 au_n1 ad_n2 operator to a given state (with m1+m2=n1+n2[MaxMomentum])
input parameters:
index = index of the state on which the operator has to be applied
m1 = first index for creation operator
m2 = second index for creation operator
n1 = first index for annihilation operator
n2 = second index for annihilation operator
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
AddAudAuAu :
prototype: int AddAudAuAu (int , int , int , int , int , double& coefficient )
description:apply ad^+_m1 au^+_m2 au_n1 au_n2 operator to a given state (with m1+m2=n1+n2[MaxMomentum])
input parameters:
index = index of the state on which the operator has to be applied
m1 = first index for creation operator
m2 = second index for creation operator
n1 = first index for annihilation operator
n2 = second index for annihilation operator
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
AddAddAdAu :
prototype: int AddAddAdAu (int , int , int , int , int , double& coefficient )
description:apply ad^+_m1 ad^+_m2 ad_n1 au_n2 operator to a given state (with m1+m2=n1+n2[MaxMomentum])
input parameters:
index = index of the state on which the operator has to be applied
m1 = first index for creation operator
m2 = second index for creation operator
n1 = first index for annihilation operator
n2 = second index for annihilation operator
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
AudAddAdAd :
prototype: int AudAddAdAd (int , int , int , int , int , double& coefficient )
description:apply au^+_m1 ad^+_m2 ad_n1 ad_n2 operator to a given state (with m1+m2=n1+n2[MaxMomentum])
input parameters:
index = index of the state on which the operator has to be applied
m1 = first index for creation operator
m2 = second index for creation operator
n1 = first index for annihilation operator
n2 = second index for annihilation operator
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
AudAddAuAd :
prototype: int AudAddAuAd (int , int , int , int , int , double& coefficient )
description:apply au^+_m1 ad^+_m2 au_n1 ad_n2 operator to a given state (with m1+m2=n1+n2[MaxMomentum])
input parameters:
index = index of the state on which the operator has to be applied
m1 = first index for creation operator
m2 = second index for creation operator
n1 = first index for annihilation operator
n2 = second index for annihilation operator
coefficient = reference on the double where the multiplicative factor has to be stored
return value: index of the destination state
PrintState :
prototype: ostream& PrintState (ostream& , int state )
description:print a given State
input parameters:
Str = reference on current output stream
state = ID of the state to print
return value: reference on current output stream
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