Geodesic
Quantum mechanics over non-Archimedean number fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 3, pp. 406-418

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_1990_83_3_a8,
     author = {A. Yu. Khrennikov},
     title = {Quantum mechanics over {non-Archimedean} number fields},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {406--418},
     publisher = {mathdoc},
     volume = {83},
     number = {3},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_83_3_a8/}
}
TY  - JOUR
AU  - A. Yu. Khrennikov
TI  - Quantum mechanics over non-Archimedean number fields
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 406
EP  - 418
VL  - 83
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_83_3_a8/
LA  - ru
ID  - TMF_1990_83_3_a8
ER  - 
%0 Journal Article
%A A. Yu. Khrennikov
%T Quantum mechanics over non-Archimedean number fields
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 406-418
%V 83
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1990_83_3_a8/
%G ru
%F TMF_1990_83_3_a8
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/