−Table of Contents
Normalize
for a wavefunction psi the method Normalize() will change the overall prefactor of the wavefunction such that ⟨ψ|ψ⟩=1.
Example
We can define the following function: |ψ⟩=(a†0a†1+a†0a†2+(1+I)a†1a†2)|0⟩. after normalization it becomes |ψ⟩=(1√4a†0a†1+1√4a†0a†2+(1+I)1√4a†1a†2)|0⟩.
Input
- Example.Quanty
NF=3 NB=0 psi = NewWavefunction(NF, NB, {{"110",1},{"101",1},{"011",(1+I)}}) print(psi) print("The norm of psi is ",psi*psi) psi.Normalize() print(psi) print("The norm of psi is ",psi*psi)
Result
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 1.000000000000E+00 0.000000000000E+00 110 2 1.000000000000E+00 0.000000000000E+00 101 3 1.000000000000E+00 1.000000000000E+00 011 The norm of psi is 4 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 The norm of psi is 1
