Geodesic
Quantum mechanics over non-Archimedean number fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 3, pp. 406-418 Cet article a éte moissonné depuis la source Math-Net.Ru

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Schrödinger and Bargmann–Fock representations in non-Archimedean quantum mechanics are realized in the spaces $L_2(K^n,dx)$ and $L_2(Z^n,e^{-zz}\,dz\,d\bar z)$ ($K$ is a non-Archimedean field, and $Z=K(\sqrt\tau\,)$ is its quadratic extension) by means of the calculus of pseudodifferential operators. 
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A. Yu. Khrennikov. Quantum mechanics over non-Archimedean number fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 3, pp. 406-418. http://geodesic.mathdoc.fr/item/TMF_1990_83_3_a8/

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