  We analyze dynamical consequences of a conjecture that there exists a
fundamental (indivisible) quant of time. In particular we study the problem of
discrete energy levels of hydrogen atom. We are able to reconstruct potential
which in discrete time formalism leads to energy levels of unperturbed hydrogen
atom. We also consider linear energy levels of quantum harmonic oscillator and
show how they are produced in the discrete time formalism. More generally, we
show that in discrete time formalism finite motion in central potential leads
to discrete energy spectrum, the property which is common for quantum
mechanical theory. Thus deterministic (but discrete time!) dynamics is
compatible with discrete energy levels.
