Conjugation of creation and annihilation operators - Fock's

[mattocompleto]

Hi,

I'm doing some exercise about second quantization.
In a exercise about spiorial field I have to explicitly write the Hamiltonian of a Majorana-Langrangian, in terms of operators of creation and annihilation: $A_{\vec{k},\lambda}$ that acts on Fock's space.

The point is that during the calculation it is appearing $A_{\vec{k},\lambda}^{\star}$, and $A_{\vec{k},\lambda}^{T}$. And actually I don't know how these operators act! Does it exits some kind of relation like $A_{\vec{k},\lambda}=A_{\vec{k},\lambda}^{\star}$?

 

[mattocompleto]

The definition of the normals $A_{\vec{k},\lambda}$ and $A_{\vec{k},\lambda}^{\dagger}$ is present at http://www.scholarpedia.org/article/Second_quantization but I cannot understand how $A_{\vec{k},\lambda}^{T}$ acts!