Geodesic
Gaussian functional integrals and Gibbs equilibrium averages
Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 2, pp. 345-352 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We show that Gibbs equilibrium averages of Bose-operators can be represented as path integrals over a special Gauss measure defined in the corresponding space of continuous functions. This measure arises in the Bogoliubov $T$-product approach and is non-Wiener. 
@article{TMF_1999_119_2_a7,
     author = {D. P. Sankovich},
     title = {Gaussian functional integrals and {Gibbs} equilibrium averages},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {345--352},
     year = {1999},
     volume = {119},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_119_2_a7/}
}
TY  - JOUR
AU  - D. P. Sankovich
TI  - Gaussian functional integrals and Gibbs equilibrium averages
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1999
SP  - 345
EP  - 352
VL  - 119
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1999_119_2_a7/
LA  - ru
ID  - TMF_1999_119_2_a7
ER  - 
%0 Journal Article
%A D. P. Sankovich
%T Gaussian functional integrals and Gibbs equilibrium averages
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1999
%P 345-352
%V 119
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1999_119_2_a7/
%G ru
%F TMF_1999_119_2_a7
D. P. Sankovich. Gaussian functional integrals and Gibbs equilibrium averages. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 2, pp. 345-352. http://geodesic.mathdoc.fr/item/TMF_1999_119_2_a7/

[1] F. J. Dyson, Phys. Rev., 75 (1949), 486 | DOI | MR | Zbl

[2] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1973 | MR | Zbl

[3] M. Rid, B. Saimon, Metody sovremennoi matematicheskoi fiziki, T. 2, Mir, M., 1978 | MR

[4] T. Kato, J. Math. Soc. Japan, 5 (1953), 208 | DOI | MR | Zbl

[5] N. N. Bogolyubov, N. N. Bogolyubov \rom(ml.\rom), Aspekty teorii polyarona, Soobscheniya OIYaI, R17-81-65, OIYaI, Dubna, 1981

[6] N. Burbaki, Integrirovanie, Gl. III–V, IX, Nauka, M., 1977 | MR

[7] F. Riss, B. Sekefalvi-Nad, Lektsii po funktsionalnomu analizu, Mir, M., 1979 | MR

[8] Yu. L. Daletskii, S. V. Fomin, Mery i differentsialnye uravneniya v beskonechnomernykh prostranstvakh, Nauka, M., 1978 | MR