Class : FermionOnTorus
FermionOnTorus :
prototype: FermionOnTorus (int , int maxMomentum )
description:basic constructor
input parameters:
nbrFermions = number of fermions
maxMomentum = momentum maximum value for a fermion
FermionOnTorus :
prototype: FermionOnTorus (int , int , int momentumConstraint )
description:constructor with a constraint of the total momentum of states
input parameters:
nbrFermions = number of fermions
maxMomentum = momentum maximum value for a fermion
momentumConstraint = index of the momentum orbit
FermionOnTorus :
prototype: FermionOnTorus (int , int , int ,
unsigned int* , int* stateMaxMomentum )
description:constructor from full datas (with no constraint on the total momentum)
input parameters:
nbrFermions = number of fermions
maxMomentum = momentum maximum value for a fermion
hilbertSpaceDimension = Hilbert space dimension
stateDescription = array describing each state
stateMaxMomentum = array giving maximum Lz value reached for a fermion in a given state
FermionOnTorus :
prototype: FermionOnTorus (int , int , int , int ,
unsigned int* , int* stateMaxMomentum )
description:constructor from full datas
input parameters:
nbrFermions = number of fermions
maxMomentum = momentum maximum value for a fermion
momentumConstraint = index of the momentum orbit
hilbertSpaceDimension = Hilbert space dimension
stateDescription = array describing each state
stateMaxMomentum = array giving maximum Lz value reached for a fermion in a given state
FermionOnTorus :
prototype: FermionOnTorus (const FermionOnTorus& fermions )
description:copy constructor (without duplicating datas)
input parameters:
fermions = reference on the hilbert space to copy to copy
~FermionOnTorus :
prototype: ~FermionOnTorus ()
description:destructor
operator = :
prototype: FermionOnTorus& operator = (const FermionOnTorus& 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
GetMomentumValue :
prototype: int GetMomentumValue (int index )
description:get momemtum value of a given state
input parameters:
index = state index
return value: state momentum
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
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
AdAdAA :
prototype: int AdAdAA (int , int , int , int , int , double& coefficient )
description:apply a^+_m1 a^+_m2 a_n1 a_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
AdA :
prototype: double AdA (int , int m )
description:apply a^+_m a_m operator to a given state
input parameters:
index = index of the state on which the operator has to be applied
m = index for creation operator
return value: resulting multiplicative factor
A :
prototype: Matrix& A (int , Matrix& M )
description:return matrix representation of the annihilation operator a_i
input parameters:
i = operator index
M = matrix where representation has to be stored
return value: corresponding matrix
Ad :
prototype: Matrix& Ad (int , Matrix& M )
description:return matrix representation ofthw creation operator a^+_i
input parameters:
i = operator index
M = matrix where representation has to be stored
return value: corresponding matrix
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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