Geodesic
Quantum particle in a one-dimensional deformed lattice. Dependence of the energy on the quasimomentum
Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 1, pp. 35-41 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

For a quantum particle in a weak, one-dimensional analytic quasiperiodic potential it is shown that the energy is a monogenic Borel function of the quasimomentum. 
@article{TMF_1976_26_1_a2,
     author = {E. D. Belokolos},
     title = {Quantum particle in a~one-dimensional deformed lattice. {Dependence} of the energy on the quasimomentum},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {35--41},
     year = {1976},
     volume = {26},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a2/}
}
TY  - JOUR
AU  - E. D. Belokolos
TI  - Quantum particle in a one-dimensional deformed lattice. Dependence of the energy on the quasimomentum
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 35
EP  - 41
VL  - 26
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a2/
LA  - ru
ID  - TMF_1976_26_1_a2
ER  - 
%0 Journal Article
%A E. D. Belokolos
%T Quantum particle in a one-dimensional deformed lattice. Dependence of the energy on the quasimomentum
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 35-41
%V 26
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a2/
%G ru
%F TMF_1976_26_1_a2
E. D. Belokolos. Quantum particle in a one-dimensional deformed lattice. Dependence of the energy on the quasimomentum. Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 1, pp. 35-41. http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a2/

[1] E. D. Belokolos, TMF, 25 (1975), 344 | MR

[2] H. A. Kramers, Physica, 2 (1935), 483 | DOI | MR | Zbl

[3] E. D. Belokolos, Preprint ITF AN USSR-75-4R, Kiev, 1975

[4] E. Borel, Leçons sur les fonctions monogènes uniformes d'une variable complexe, Paris, 1917

[5] A. N. Kolmogorov, Proceedings of the International Congress of Mathematicians, vol. 1, Amsterdam, 1954, 315 ; Международный математический конгресс в Амстердаме (1954), ГИФМЛ, 1961, 187 | MR

[6] V. I. Arnold, Izv. AN SSSR, ser. matem., 25 (1961), 21 | MR

[7] N. N. Bogolyubov, Yu. A. Mitropolskii, A. M. Samoilenko, Metod uskorennoi skhodimosti v nelineinoi mekhanike, «Naukova dumka», Kiev, 1969 | MR