NF

unsigned integer, read and write

An integer representing the number of Fermionic modes in the basis. For wavefunction psi, index 0 to psi.NF-1 refers to Fermions, index psi.NF to psi.NF+psi.NB-1 refers to Bosons. Changing this number changes the operator. If the new number of Fermions is smaller than the old number all modes referring to Fermions larger than NF-1 will be removed from the determinants. The index of Bosonic modes is shifted to start at psi.NF-1.

Example

We can define the function: $$ |\psi\rangle = \left(\frac{1}{\sqrt{4}} a^{\dagger}_0 a^{\dagger}_1 + \frac{1}{\sqrt{4}} a^{\dagger}_0 a^{\dagger}_2 + (1+I)\frac{1}{\sqrt{4}} a^{\dagger}_1 a^{\dagger}_2 \right)|0\rangle, $$ changing the number of fermions in the basis from 3 to 2 results in the new function: $$ |\psi\rangle = \left(\frac{1}{\sqrt{4}} a^{\dagger}_0 a^{\dagger}_1 + \frac{1}{\sqrt{4}} a^{\dagger}_0 + (1+I)\frac{1}{\sqrt{4}} a^{\dagger}_1 \right)|0\rangle. $$ Note that the later is normalized, but does not contain a fixed number of electrons.

Input

Example.Quanty
NF=3
NB=0
psi = NewWavefunction(NF, NB, {{"110",sqrt(1/4)},{"101",sqrt(1/4)},{"011",(1+I)*sqrt(1/4)}})
print(psi.NF)
psi.NF=2
print(psi)

Result

3
 
WaveFunction: Wave Function
QComplex         =          1 (Real==0 or Complex==1)
N                =          3 (Number of basis functions used to discribe psi)
NFermionic modes =          2 (Number of fermions in the one particle basis)
NBosonic modes   =          0 (Number of bosons in the one particle basis)
 
#      pre-factor             +I  pre-factor         Determinant
   1   5.000000000000E-01         0.000000000000E+00       11
   2   5.000000000000E-01         0.000000000000E+00       10
   3   5.000000000000E-01         5.000000000000E-01       01

Available properties

Print/export