  The so-called equation of motion method is useful to obtain the explicit form
of the eigenvectors and eigenvalues of certain non self-adjoint bosonic
Hamiltonians with real eigenvalues. These operators can be diagonalized when
they are expressed in terms of pseudo-bosons, which do not behave as ordinary
bosons under the adjoint transformation, but obey the Weil-Heisenberg
commutation relations.
