paper

p-Adic and Adelic Free Relativistic Particle

arXiv:hep-th/0005216 · doi:10.1142/S0217732399000365

Abstract

We consider spectral problem for a free relativistic particle in p-adic and adelic quantum mechanics. In particular, we found p-adic and adelic eigenfunctions. Within adelic approach there exist quantum states that exhibit discrete structure of spacetime at the Planck scale.

9 pages