====== Randomize ======

###
for a wavefunction //psi// the method //Randomize()// will change all prefactors to random numbers. Real functions stay real, complex stay complex. Randomize does not add determinants to the basis.
###

===== Example =====

###
We can define the following function:
$$
|\psi\rangle = \left(\frac{1}{\sqrt{4}} a^{\dagger}_0 a^{\dagger}_1 + \frac{1}{\sqrt{4}} a^{\dagger}_0 a^{\dagger}_2 + (1+I)\frac{1}{\sqrt{4}} a^{\dagger}_1 a^{\dagger}_2 \right)|0\rangle.
$$
Randomization will turn $\psi$ into
$$
|\psi\rangle = \left(\alpha a^{\dagger}_0 a^{\dagger}_1 + \beta a^{\dagger}_0 a^{\dagger}_2 + \gamma a^{\dagger}_1 a^{\dagger}_2 \right)|0\rangle.
$$
with $\alpha$, $\beta$, and $\gamma$ random complex numbers.


###

==== 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)
psi.Randomize()
print(psi)
</code>

==== Result ====
<file Quanty_Output>
WaveFunction: Wave Function
QComplex         =          1 (Real==0 or Complex==1)
N                =          3 (Number of basis functions used to discribe psi)
NFermionic modes =          3 (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       110
   2   5.000000000000E-01         0.000000000000E+00       101
   3   5.000000000000E-01         5.000000000000E-01       011



WaveFunction: Wave Function
QComplex         =          1 (Real==0 or Complex==1)
N                =          3 (Number of basis functions used to discribe psi)
NFermionic modes =          3 (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   4.123403010817E-01        -6.670525008798E-02       110
   2   5.285982509213E-02        -4.533726157538E-01       101
   3  -7.307037171865E-01         2.885430185954E-01       011
</file>

===== Available methods =====
{{indexmenu>.#1}}