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!