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documentation:language_reference:objects:wavefunction:properties:nf [2016/09/25 13:54] – created Maurits W. Haverkortdocumentation:language_reference:objects:wavefunction:properties:nf [2025/11/20 04:20] (current) – external edit 127.0.0.1
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 +====== 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 ====
 +<code Quanty 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)
 +</code>
 +
 +==== Result ====
 +<file Quanty_Output>
 +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
 +</file>
 +
 +===== Available properties =====
 +{{indexmenu>.#1}}

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