Geodesic
Adelic model of harmonic oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 3, pp. 349-359 
B. G. Dragovich. Adelic model of harmonic oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 3, pp. 349-359. http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a2/
@article{TMF_1994_101_3_a2,
     author = {B. G. Dragovich},
     title = {Adelic model of harmonic oscillator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {349--359},
     year = {1994},
     volume = {101},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a2/}
}
TY  - JOUR
AU  - B. G. Dragovich
TI  - Adelic model of harmonic oscillator
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 349
EP  - 359
VL  - 101
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a2/
LA  - ru
ID  - TMF_1994_101_3_a2
ER  - 
%0 Journal Article
%A B. G. Dragovich
%T Adelic model of harmonic oscillator
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 349-359
%V 101
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a2/
%G ru
%F TMF_1994_101_3_a2

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

Adelic quantum mechanics is formulated. The corresponding model of the harmonic oscillator is considered. The adelic harmonic oscillator exhibits many interesting features. One of them is a softening of the uncertainty relation.

[1] Volovich I. V., Class. Quantum Grav., 4 (1987), 83 | DOI | MR

[2] Freund P. G. O., Witten E., Phys. Lett. B, 199 (1987), 191 | DOI | MR

[3] Aref'eva I. Ya., Dragović B. G., Volovich I. V., Phys. Lett. B, 209 (1988), 445 ; 212, 283 ; 214, 339 | DOI | MR | DOI | MR | DOI | MR

[4] Vladimirov V. S., Lett. Math. Phys., 27 (1993), 123 | DOI | MR | Zbl

[5] Vladimirov V. S., Volovich I. V., Dokl. Akad. Nauk SSSR, 302 (1988), 320 | MR | Zbl

[6] Alacoque C., Ruelle P., Thiran E., Verstegen D., Weyers J., Phys. Lett. B, 211 (1988), 59 | DOI | MR

[7] Vladimirov V. S., Volovich I. V., Comm. Math. Phys., 123 (1989), 659 | DOI | MR | Zbl

[8] Vladimirov V. S., Volovich I. V., Phys. Lett. B, 217 (1989), 411 | DOI | MR

[9] Meurice Y., Int. J. Mod. Phys., 4 (1989 A), 5133 | DOI | MR | Zbl

[10] Zelenov E. I., TMF, 80 (1989), 253 | MR

[11] Vladimirov V. S., Volovich I. V., Zelenov E. I., Dokl. Akad. Nauk SSSR, 310 (1990), 272 | MR | Zbl

[12] Zelenov E. I., TMF, 86 (1991), 375 | MR | Zbl

[13] Dragović B. G., Frampton P. H., Urošević B. V., Mod. Phys. Lett. A, 5 (1990), 1521 ; Aref'eva I. Ya., Dargović B. G., Frampton P. H., Volovich I. V., Int. J. Mod. Phys. A, 6 (1991), 4341 | DOI | MR | Zbl | DOI | MR | Zbl

[14] Vladimirov V. S., Uspekhi Mat. Nauk, 43:5 (1988), 17 | MR | Zbl

[15] Khrennikov A. Yu., Uspekhi Mat. Nauk, 45:4 (1990), 79 | MR | Zbl

[16] Dragović B. G., TMF, 93 (1992), 211 ; J. Math. Phys., 34 (1993), 1143 | MR | Zbl | DOI | MR | Zbl

[17] Roth B. D. B., Phys. Lett. B, 213 (1988), 263 ; Missarov M. D., Phys. Lett. B, 272 (1991), 36 | DOI | MR | DOI | MR

[18] Schikhof W. H., Ultrametric Calculus, Cambridge Univ. Press, 1984 | MR | Zbl

[19] Gel'fand I. M., Graev M. I., Piatetskii-Shapiro I. I., Representation Theory and Automorphic Functions, Nauka, Moscow, 1966 | MR | Zbl

[20] Khrennikov A. Yu., J. Math. Phys., 32 (1991), 932 | DOI | MR | Zbl

[21] Vladimirov V. S., Volovich I. V., Trudy Mat. Inst. Steklov, 200, 1991, 88 | MR | Zbl