2,799 research outputs found
p-Adic Path Integrals for Quadratic Actions
The Feynman path integral in p-adic quantum mechanics is considered. The
probability amplitude
for one-dimensional systems with quadratic actions is calculated in an exact
form, which is the same as that in ordinary quantum mechanics.Comment: 9 page
Real and p-Adic Aspects of Quantization of Tachyons
A simplified model of tachyon matter in classical and quantum mechanics is
constructed. p-Adic path integral quantization of the model is considered.
Recent results in using p-adic analysis, as well as perspectives of an adelic
generalization, in the investigation of tachyons are briefly discussed. In
particular, the perturbative approach in path integral quantization is
proposed.Comment: 11 page
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