Geodesic
$p$-Adic quantum mechanics for $p=2$
Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 2, pp. 253-263 
E. I. Zelenov. $p$-Adic quantum mechanics for $p=2$. Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 2, pp. 253-263. http://geodesic.mathdoc.fr/item/TMF_1989_80_2_a6/
@article{TMF_1989_80_2_a6,
     author = {E. I. Zelenov},
     title = {$p${-Adic} quantum mechanics for $p=2$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {253--263},
     year = {1989},
     volume = {80},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_80_2_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the framework of $p$-adic quantum mechanics suggested recently the study of the case $p=2$ is performed. Corresponding Gaussian integrals are calculated and properties of the kernel of the evolution operator are investigated in the case of the harmonic oscillator.

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