C-system can be written in the form
\begin{equation}
{\dot {\bf r}}'= \frac{\p \eps}{\p {\bf k}}, \qquad {\dot {\bf k}}=
-\frac{\p \eps}{\p{ \bf r}'}.
\ee           %27

We have to determine Hamiltonian $H({\bf p,r},t)$ as a function of the
coordinates $\bf r$ and quasimomentum $\bf p$ in L-system in a way to have
canonical equations:
\be
{\dot {\bf r}}= \frac{\p H}{\p \bf p}, \qquad {\dot {\bf p}}=
-\frac{\p H}{\p {\bf r}}  .
\ee           %28

    According to the general theory of Hamilton mechanics, the Hamiltonian
and the momentum can be obtained as derivatives of the action $S({\bf r},t)$
with respect to the time $t$ and the coordinates ${\bf r}$. Equations (27) show
that the variables $\bf k$ and $\bf r'$ are canonically conjugate. However,
if one
considers $\bf r'$ as a continuos variable, then the corresponding quantity
$\bf
k$ has to be considered as momentum. Quasimomentum has to be conjugate to some
discrete coordinate. Such coordinates, $\bf N$ (with components $N^\alpha$),
were
introduced in Sec.2. Hence, we are able to take the action $S({\bf N},t)$
as a function of these coordinates and
the time. Then we can determine a Hamiltonian $H(
\mbox {\boldmath $\kappa$},{\bf
N}, t)$ and a new quasimomentum  {\boldmath $\kappa$} as 