Geodesic
Approximate second quantization method in the theory of quantum crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 33 (1977) no. 1, pp. 136-144 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Nonideal and nonhomogeneous quantum Bose-systems are investigated by means of the Bogoliubov method of canonical transformation. For body-centered cubic crystal corresponding to the regular tetrahedron in the momentum space, three types of sound excitations are obtained. The interaction between the modes is of the next order with respect to the dimensionless momentum, as compared with the energy of elementary excitation. 
@article{TMF_1977_33_1_a11,
     author = {V. I. Vozyakov},
     title = {Approximate second quantization method in the theory of quantum crystals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {136--144},
     year = {1977},
     volume = {33},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a11/}
}
TY  - JOUR
AU  - V. I. Vozyakov
TI  - Approximate second quantization method in the theory of quantum crystals
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 136
EP  - 144
VL  - 33
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a11/
LA  - ru
ID  - TMF_1977_33_1_a11
ER  - 
%0 Journal Article
%A V. I. Vozyakov
%T Approximate second quantization method in the theory of quantum crystals
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 136-144
%V 33
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a11/
%G ru
%F TMF_1977_33_1_a11
V. I. Vozyakov. Approximate second quantization method in the theory of quantum crystals. Teoretičeskaâ i matematičeskaâ fizika, Tome 33 (1977) no. 1, pp. 136-144. http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a11/

[1] Kvantovye kristally, Novosti fiziki tverdogo tela, 4, «Mir», 1975

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

[3] N. N. Bogolyubov, Statisticheskaya fizika i kvantovaya teoriya polya, Sb., «Nauka», 1974, 7 | MR

[4] V. I. Yukalov, TMF, 17 (1973), 422 | MR

[5] G. M. Filippov, Izv. VUZov, ser. fiz., 4 (1973), 30

[6] N. March, U. Yang, S. Sampantkhar, Problema mnogikh tel v kvantovoi mekhanike, «Mir», 1969 | MR

[7] Yu. A. Nepomnyaschii, A. A. Nepomnyaschii, TMF, 9 (1971), 137

[8] V. I. Vozyakov, Mezhdunarodnyi simpozium po izbrannym problemam statisticheskoi mekhaniki (Dubna, 19–22 aprelya 1977 g.), D17-10529, OIYaI, 1977, str. 13