Geodesic
A method of calculating the partition function of a system of phonons with allowance for anharmonicit
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 2, pp. 288-294 
A. O. Melikyan; S. M. Saakyan. A method of calculating the partition function of a system of phonons with allowance for anharmonicit. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 2, pp. 288-294. http://geodesic.mathdoc.fr/item/TMF_1988_75_2_a12/
@article{TMF_1988_75_2_a12,
     author = {A. O. Melikyan and S. M. Saakyan},
     title = {A~method of calculating the partition function of a~system of phonons with allowance for anharmonicit},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {288--294},
     year = {1988},
     volume = {75},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_75_2_a12/}
}
TY  - JOUR
AU  - A. O. Melikyan
AU  - S. M. Saakyan
TI  - A method of calculating the partition function of a system of phonons with allowance for anharmonicit
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1988
SP  - 288
EP  - 294
VL  - 75
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1988_75_2_a12/
LA  - ru
ID  - TMF_1988_75_2_a12
ER  - 
%0 Journal Article
%A A. O. Melikyan
%A S. M. Saakyan
%T A method of calculating the partition function of a system of phonons with allowance for anharmonicit
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1988
%P 288-294
%V 75
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1988_75_2_a12/
%G ru
%F TMF_1988_75_2_a12

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

A new method is proposed for calculating the partition function for a system of phonons with allowance for anharmonicity. In the thermodynamic limit, the partition function can be calculated exactly without a series expansion in powers of the anharmonicity.

[1] Leibfrid G., Lyudvig V., Teoriya angarmonicheskikh effektov v kristallakh, IL, M., 1963

[2] Schneider T. et al., Physica, 79A:1 (1975), 201–205 | DOI

[3] Schäfer R. et al., Z. Phys., B30:1 (1978), 223–228 | MR

[4] Plakida N. M., Tonchev N. S., TMF, 63:2 (1985), 270–279 | MR

[5] Uiteker E. T., Vatson Dzh. N., Kurs sovremennogo analiza, Fizmatgiz, M., 1963