FINITENESS DUE TO CELLULAR STRUCTURE OF RN .1. QUANTUM-MECHANICS

Citation
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
Citations number
45
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
01709739
Volume
62
Issue
1
Year of publication
1994
Pages
121 - 126
Database
ISI
SICI code
0170-9739(1994)62:1<121:FDTCSO>2.0.ZU;2-2
Abstract
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.