Aa. Kehagias et G. Zoupanos, FINITENESS DUE TO CELLULAR STRUCTURE OF RN .1. QUANTUM-MECHANICS, Zeitschrift fur Physik. C, Particles and fields, 62(1), 1994, pp. 121-126
We construct a cellular space which has as a continuous limit the Eucl
idean space R(N). We consider quantum mechanics on this cellular space
and we examine in particular an harmonic oscillator and a free partic
le on the cellular R1, R2 respectively. In both cases we find that the
energy spectrum is bounded from above.