Geodesic
Dynamic stochasticity and quantization
Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 2, pp. 224-244 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is shown that after quantization of a classical dynamically stochastic system 1) the spectrum can be purely discrete, 2) stationary states correspond to simple closed classical trajectories, 3) stochastically entangled motions are “pushed” upward in energy to infinity. 
@article{TMF_1984_60_2_a5,
     author = {B. V. Medvedev},
     title = {Dynamic stochasticity and quantization},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {224--244},
     year = {1984},
     volume = {60},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_60_2_a5/}
}
TY  - JOUR
AU  - B. V. Medvedev
TI  - Dynamic stochasticity and quantization
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1984
SP  - 224
EP  - 244
VL  - 60
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1984_60_2_a5/
LA  - ru
ID  - TMF_1984_60_2_a5
ER  - 
%0 Journal Article
%A B. V. Medvedev
%T Dynamic stochasticity and quantization
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1984
%P 224-244
%V 60
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1984_60_2_a5/
%G ru
%F TMF_1984_60_2_a5
B. V. Medvedev. Dynamic stochasticity and quantization. Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 2, pp. 224-244. http://geodesic.mathdoc.fr/item/TMF_1984_60_2_a5/

[1] Sinai Ya. G., UMN, 25:2 (1970), 141–192 | MR | Zbl

[2] Zaslavskii G. M., Chirikov B. V., UFN, 105 (1971), 3–42 | DOI

[3] Rabinovich M. I., UFN, 125 (1978), 123–168 | DOI | MR

[4] Izrailev F. M., Chirikov B. V., Shepelyanskii D. L., Dinamicheskaya stokhastichnost v klassicheskoi mekhanike, Preprint IYaF SO AN SSSR 80-209, IYaF, Novosibirsk, 1980 | MR

[5] Basseyan G. Z., Matinyan S. G., Savvidi G. K., Pisma v ZhETF, 29 (1979), 641–644

[6] Matinyan S. G., Savvidi G. K., Ter-Arutyunyan-Savvidi N. G., ZhETF, 80 (1981), 830–846 | MR

[7] Matinyan S. G., Savvidi G. K., Ter-Arutyunyan-Savvidi N. G., Pisma v ZhETF, 34 (1981), 613–617

[8] Simonov Yu. A., Polevye konfiguratsii $3+1$ vakuuma KKhD v predele bolshikh $N$, Preprint ITEF-14, ITEF, M., 1983

[9] Badalyan A. M., YaF, 38 (1983), 779–790 | MR

[10] Badalyan A. M., Dvukh- i trekhmatrichnye modeli s $SU(2)$ vnutrennei simmetriei, Preprint ITEF-138, ITEF, 1983

[11] Krylov N. S., Raboty po obosnovaniyu statisticheskoi fiziki, Izd-vo AN SSSR, M.–L., 1950

[12] Zaslavskii G. M., UFN, 129 (1979), 211–238 | DOI | MR

[13] Savvidi G. K., Klassicheskaya i kvantovaya mekhaniki neabelevykh kalibrovochnykh polei, Preprint ERFI 613 (3)-83, ERFI, Erevan, 1983

[14] Apenko S. M., Kirzhnits D. A., Lozovik Yu. E., Stokhastichnost i konfainment, Preprint FIAN No 201, FIAN SSSR, M., 1982

[15] Nikolaevskii E. S., Shur L. N., Peresechenie separatriss periodicheskikh traektorii i neintegriruemost klassicheskikh uravnenii Yanga - Millsa, Preprint ITEF-3, ITEF, M., 1983

[16] Chirikov B. V., Shepelyanskii D. L., YaF, 36 (1982), 1563–1576 | MR | Zbl

[17] Bogolyubov N. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Fizmatgiz, M., 1958 | MR

[18] Beletskii V. B., Ocherki dvizheniya kosmicheskikh tel, Nauka, M., 1977

[19] Medvedev B. V., Nachala teoreticheskoi fiziki, Nauka, M., 1977

[20] Landau L. D., Lifshits E. M., Kvantovaya mekhanika. Nerelyativistskaya teoriya, § 6, Nauka, M., 1974 | MR

[21] Yakovleva G. D., Tablitsy funktsii Eiri i ikh proizvodnykh, Nauka, M., 1969 | MR