Geodesic
Theory of a spatially periodic Bose condensate in the weakly nonideal Bose gas model
Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 1, pp. 152-176 
A. S. Peletminskii; S. V. Peletminskii; Yu. V. Slusarenko. Theory of a spatially periodic Bose condensate in the weakly nonideal Bose gas model. Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 1, pp. 152-176. http://geodesic.mathdoc.fr/item/TMF_2000_125_1_a6/
@article{TMF_2000_125_1_a6,
     author = {A. S. Peletminskii and S. V. Peletminskii and Yu. V. Slusarenko},
     title = {Theory of a spatially periodic {Bose} condensate in the weakly nonideal {Bose} gas model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {152--176},
     year = {2000},
     volume = {125},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_125_1_a6/}
}
TY  - JOUR
AU  - A. S. Peletminskii
AU  - S. V. Peletminskii
AU  - Yu. V. Slusarenko
TI  - Theory of a spatially periodic Bose condensate in the weakly nonideal Bose gas model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2000
SP  - 152
EP  - 176
VL  - 125
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2000_125_1_a6/
LA  - ru
ID  - TMF_2000_125_1_a6
ER  - 
%0 Journal Article
%A A. S. Peletminskii
%A S. V. Peletminskii
%A Yu. V. Slusarenko
%T Theory of a spatially periodic Bose condensate in the weakly nonideal Bose gas model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2000
%P 152-176
%V 125
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2000_125_1_a6/
%G ru
%F TMF_2000_125_1_a6

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

The possibility of constructing the theory of a spatially periodic Bose condensate in the weakly nonideal Bose gas model is studied. The concept of quasi means and the related separated Bose condensate method are used to derive equations for determining the spatially periodic order parameter for zero temperature at which the contribution of quasiparticles to the thermodynamics of the boson system can be neglected. One-period solutions of these equations are found. Questions of thermodynamic stability are considered for a spatially periodic Bose condensate.

[1] M. H. Anderson et al., Science, 269 (1995), 198 | DOI | MR

[2] S. Chu, UFN, 169 (1999), 274 | DOI

[3] K. N. Koen-Tanudzhi, UFN, 169 (1999), 292 | DOI

[4] U. D. Filips, UFN, 169 (1999), 305 | DOI

[5] Y. Castin, J. Dalibard, Europhys. Lett., 14 (1991), 761 | DOI

[6] P. Vertek, B. Lounis, C. Salomon, C. Cohen-Tannoudji, J.-Y. Courtois, G. Grynberg, Phys. Rev. Lett., 68 (1992), 3861 | DOI

[7] P. S. Jessen, C. Gerz, P. D. Lett, W. D. Phillips, S. L. Rolston, R. J. C. Spreeuw, C. I. Westbrook, Phys. Rev. Lett., 69 (1992), 49 | DOI

[8] N. N. Bogolyubov, Izv. AN SSSR. Ser. fiz., 11 (1947), 77 | MR

[9] N. M. Lavrinenko, S. V. Peletminskii, TMF, 66:2 (1986), 314 | MR

[10] A. F. Andreev, I. M. Lifshits, ZhETF, 56:6 (1969), 2057

[11] A. I. Akhiezer, S. V. Peletminskii, Yu. V. Slyusarenko, ZhETF, 113 (1998), 918

[12] A. S. Peletminsky, S. V. Peletminsky, Yu. V. Slyusarenko, Low Temp. Phys., 25:5 (1999), 303 | DOI

[13] N. N. Bogolyubov, Kvazisrednie v zadachakh statisticheskoi mekhaniki, Preprint No 1451, OIYaI, Dubna, 1963; Избранные труды, Т. 3, Наукова думка, Киев, 1971 | MR

[14] E. T. Uitteker, Dzh. N. Vatson, Kurs sovremennogo analiza, T. II, Fizmatgiz, M., 1963

[15] G. M. Fikhtengolts, Kurs differentsialnogo i integralnogo ischisleniya, T. II, Fizmatgiz, M., 1962