operator.* For that all the geometric components in and have to be expressed first in terms of the holonomies and fluxes, which is essentially done via methods specified in [@Th-trick]. The field strength $F^k_{ab}$ is in particular represented via holonomies along the closed square loop. The requirement for our theory to mimic the properties of LQG and the discreteness of the area operator $\hat{\rm Ar}$ there forces us to fix the physical area $\Delta$ of this loop as the $1$st nonzero eigenvalue of $\hat{\rm Ar}$, which is the unique physically consistent choice for that technique [@cs-uniq].

Presently in the literature there exists several prescriptions of constructing the quantum Hamiltonian constraint differing by fine details, like the lapse, the factor ordering and the symmetrization. Here we focus on three of them, defined in [@aps-imp], [@acs] and [@b1-mmp; @mmo] and denoted, respectively, as the *APS*, *sLQC* and *MMO* prescription. In all these cases the resulting operator can be brought to the form $$\label{eq:constr-quant}
  {\openone}\otimes\partial_{\phi}^2 + \Theta \otimes {\openone},$$ where an action of the operator $\Theta$ equals $$\label{eq:ev2-gen}\begin{split}
  -[\Theta\psi](v) &= f_+(v)\psi(v-4) - f_o(v)\psi(v) \\ 
  &+ f_-(v)\psi(v+4) ,
\end{split}$$ with the form of $f_{o,\pm}$ depending on the particular prescription used and given respectively by

