====== Transpose ======

###
For an operator //O//, the method //O.Transpose()// will change operator //O// to its transpose.
###

===== Example =====

###
We define:
$$O=3.4+1.2a^{\dagger}_{0}\,a^{\phantom{\dagger}}_{0}+(2.5+I)a^{\dagger}_{1}\,a^{\phantom{\dagger}}_{2},$$
its transpose, $O^{T}$ is equal to:
$$O^{T}=3.4+1.2a^{\dagger}_{0}\,a^{\phantom{\dagger}}_{0}+(2.5+I)a^{\dagger}_{2}\,a^{\phantom{\dagger}}_{1}.$$
###

==== Input ====
<code Quanty Example.Quanty>
NF=3
NB=0
O = NewOperator(NF,NB,{{3.4},{0,-0,1.2},{1,-2,2.5+I}})
print(O)
O.Transpose()
print(O)
</code>

==== Result ====
<file Quanty_Output>
Operator: Operator
QComplex         =          2 (Real==0 or Complex==1 or Mixed==2)
MaxLength        =          2 (largest number of product of lader operators)
NFermionic modes =          3 (Number of fermionic modes (site, spin, orbital, ...) in the one particle basis)
NBosonic modes   =          0 (Number of bosonic modes (phonon modes, ...) in the one particle basis)

Operator of Length   0
QComplex      =          0 (Real==0 or Complex==1)
N             =          1 (number of operators of length   0)
|  3.400000000000000E+00

Operator of Length   2
QComplex      =          1 (Real==0 or Complex==1)
N             =          2 (number of operators of length   2)
C  0 A  0 |  1.200000000000000E+00  0.000000000000000E+00
C  1 A  2 |  2.500000000000000E+00  1.000000000000000E+00



Operator: Operator
QComplex         =          2 (Real==0 or Complex==1 or Mixed==2)
MaxLength        =          2 (largest number of product of lader operators)
NFermionic modes =          3 (Number of fermionic modes (site, spin, orbital, ...) in the one particle basis)
NBosonic modes   =          0 (Number of bosonic modes (phonon modes, ...) in the one particle basis)

Operator of Length   0
QComplex      =          0 (Real==0 or Complex==1)
N             =          1 (number of operators of length   0)
|  3.400000000000000E+00

Operator of Length   2
QComplex      =          1 (Real==0 or Complex==1)
N             =          2 (number of operators of length   2)
C  0 A  0 |  1.200000000000000E+00  0.000000000000000E+00
C  2 A  1 |  2.500000000000000E+00  1.000000000000000E+00
</file>

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