p-Adic Path Integrals for Quadratic Actions

Details p-Adic Path Integrals for Quadratic Actions p-Adic Path Integrals for Quadratic Actions

2000-05-26

arxiv.org/abs/math-ph/0005026v1

Mod.Phys.Lett. 12 (1997) 1455-1463

Physics

Mathematical Physics

9 pages

Scientific paper

10.1142/S0217732397001485

The Feynman path integral in p-adic quantum mechanics is considered. The
probability amplitude
${\cal K}_p (x^{\prime\prime},t^{\prime\prime}; x^\prime,t^\prime)$
for one-dimensional systems with quadratic actions is calculated in an exact
form, which is the same as that in ordinary quantum mechanics.

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