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arxiv: hep-th/0005216 · v1 · submitted 2000-05-24 · ✦ hep-th · math-ph· math.MP

p-Adic and Adelic Free Relativistic Particle

classification ✦ hep-th math-phmath.MP
keywords adelicp-adicfreeparticlequantumrelativisticapproachconsider
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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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