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documentation:language_reference:objects:wavefunction:methods:conjugate [2016/09/25 13:58] – created Maurits W. Haverkortdocumentation:language_reference:objects:wavefunction:methods:conjugate [2025/11/20 04:20] (current) – external edit 127.0.0.1
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 +====== Conjugate ======
  
 +###
 +For a wavefunction //psi//, the method //psi.Conjugate()// will change the wavefunction //psi// to its complex conjugate.
 +###
 +
 +===== Example =====
 +
 +###
 +We can define the following function:
 +$$
 +|\psi\rangle = \left(\frac{1}{\sqrt{4}} a^{\dagger}_0 a^{\dagger}_1 + \frac{1}{\sqrt{4}} a^{\dagger}_0 a^{\dagger}_2 + (1+I)\frac{1}{\sqrt{4}} a^{\dagger}_1 a^{\dagger}_2 \right)|0\rangle.
 +$$
 +Its conjugate $\psi^*$ can be calculate with the command //psi.Conjugate()// and is equal to:
 +$$
 +|\psi\rangle = \left(\frac{1}{\sqrt{4}} a^{\dagger}_0 a^{\dagger}_1 + \frac{1}{\sqrt{4}} a^{\dagger}_0 a^{\dagger}_2 + (1-I)\frac{1}{\sqrt{4}} a^{\dagger}_1 a^{\dagger}_2 \right)|0\rangle.
 +$$
 +###
 +
 +
 +
 +==== 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.Conjugate()
 +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   5.000000000000E-01        -0.000000000000E+00       110
 +   2   5.000000000000E-01        -0.000000000000E+00       101
 +   3   5.000000000000E-01        -5.000000000000E-01       011
 +</file>
 +
 +===== Available methods =====
 +{{indexmenu>.#1}}

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