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DeterminantString

DeterminantString(NF,Inds1,Inds2,…) creates a string of length NF and sets all characters to '0', except for those indices included in Inds1 etc, which it sets to '1'. This automatizes the input of functions like NewWavefunction() or Eigensystem().

Input

  • NF : The number of fermionic states (and hence the length of the resulting string).
  • Inds1,… : One or several lists of indices.

Output

  • Det : A string that can be used as determinant input for wavefunctions, restrictions, or the like.

Example

A small example:

Input

Example.Quanty
orbitals = {"H_1s","Fe_2s","Fe_2p","Fe_3s","Fe_3d"}
groupings = { {"H_states", {"H_1s"} }, {"Fe_states", {"Fe_2s","Fe_2p","Fe_3s","Fe_3d"}} }
Ind, NF = CreateAtomicIndicesDict(orbitals,groupings)
 
print("\nDeterminantString({0,1,2,3},NF):" )
print(DeterminantString(NF, {0,1,2,3}) )
print("\nDeterminantString(NF, Ind[\"Fe_2p\"]):")
print(DeterminantString(NF, Ind["Fe_2p"]) )
print("\nDeterminantString(NF, Ind[\"H_states\"]):")
print(DeterminantString(NF, Ind["H_states"]) )
print("\nDeterminantString(NF, Ind[\"Fe_states\"]):")
print(DeterminantString(NF, Ind["Fe_states"]) )
print("\nDeterminantString(NF, Ind[\"H_1s\"], Ind[\"Fe_2p\"], Ind[\"Fe_3d\"]):" )
print(DeterminantString(NF, Ind["H_1s"], Ind["Fe_2p"], Ind["Fe_3d"]) )
 
psi = NewWavefunction(NF,0,{{DeterminantString(NF, Ind["Fe_3d"]) , 1}})
print(psi)

Result

DeterminantString({0,1,2,3},NF):
1111000000000000000000
 
DeterminantString(NF, Ind["Fe_2p"]):
0000111111000000000000
 
DeterminantString(NF, Ind["H_states"]):
1100000000000000000000
 
DeterminantString(NF, Ind["Fe_states"]):
0011111111111111111111
 
DeterminantString(NF, Ind["H_1s"], Ind["Fe_2p"], Ind["Fe_3d"]):
1100111111001111111111
 
WaveFunction: Wave Function
QComplex         =          0 (Real==0 or Complex==1)
N                =          1 (Number of basis functions used to discribe psi)
NFermionic modes =         22 (Number of fermions in the one particle basis)
NBosonic modes   =          0 (Number of bosons in the one particle basis)
 
#      pre-factor         Determinant
   1   1.000000000000E+00       0000000000001111111111

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