English

p-Adic and Adelic Free Relativistic Particle

High Energy Physics - Theory 2009-10-31 v1 Mathematical Physics math.MP

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.

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Cite

@article{arxiv.hep-th/0005216,
  title  = {p-Adic and Adelic Free Relativistic Particle},
  author = {G. S. Djordjevic and B. Dragovich and LJ. Nesic},
  journal= {arXiv preprint arXiv:hep-th/0005216},
  year   = {2009}
}

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9 pages