Abstract: | Adelic quantum mechanics is formulated. The corresponding model of the harmonic oscillator is considered. The adelic harmonic oscillator exhibits many interesting features. One of them is a softening of the uncertainty relation.This work was partially supported by the Russian Foundation for Fundamental Research, Grant No. 93-011-147.Institute of Physics, P.O. Box 57, 11001 Belgrade, Yugoslavia. Published in Teoreticheskaya i Matematicheskaya Fizika, Vol. 101, No. 3, pp. 349–359, December, 1994. |