Class : Spin1AKLTChain
Spin1AKLTChain :
prototype: Spin1AKLTChain ()
description:default constructor
Spin1AKLTChain :
prototype: Spin1AKLTChain (int , int memorySize )
description:constructor for complete Hilbert space with no restriction on total spin projection Sz
input parameters:
chainLength = number of spin
memorySize = memory size in bytes allowed for look-up table
Spin1AKLTChain :
prototype: Spin1AKLTChain (int , int , int memorySize )
description:constructor for complete Hilbert space corresponding to a given total spin projection Sz
input parameters:
chainLength = number of spin 1
sz = twice the value of total Sz component
memorySize = memory size in bytes allowed for look-up table
Spin1AKLTChain :
prototype: Spin1AKLTChain (const Spin1AKLTChain& chain )
description:copy constructor (without duplicating datas)
input parameters:
chain = reference on chain to copy
~Spin1AKLTChain :
prototype: ~Spin1AKLTChain ()
description:destructor
operator = :
prototype: Spin1AKLTChain& operator = (const Spin1AKLTChain& chain )
description:assignement (without duplicating datas)
input parameters:
chain = reference on chain to copy
return value: reference on current chain
Clone :
prototype: AbstractHilbertSpace* Clone ()
description:clone Hilbert space (without duplicating datas)
input parameters:
return value: pointer to cloned Hilbert space
GetHilbertSpaceDimension :
prototype: int GetHilbertSpaceDimension ()
description:return Hilbert space dimension
input parameters:
return value: Hilbert space dimension
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
TotalSz :
prototype: int TotalSz (int index )
description:
return value: return value of spin projection on (Oz) for a given state
input parameters:
index = index of the state to test
return value: spin projection on (Oz)
Sxi :
prototype: 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: 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: 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: 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: 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: 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: 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
SmiSpj :
prototype: 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
SpiSpj :
prototype: 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: 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: 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: 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
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
FindStateIndex :
prototype: int FindStateIndex (unsigned long state )
description:find state index
input parameters:
state = state description
return value: corresponding index
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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