  Lagrange and Hamilton equations for thermodynamic evolution near equilibrium
as well as Schrodinger-like equation for the non-equilibrium case are obtained
extending the CPDQ Principle (Constancy of the product momentum-oordinate
uncertainty) to a new conjugate pair where the momentum f is the extension of
the mechanical f=p.{\delta}q product for the case the coordinate q is not
directly observable. Applied to the case of a particle in a one dimension box,
the results are in agreement with reported calculated and measured thermal
conductance.
