Geodesic
One-particle density matrix of liquid $^4\text{He}$
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 1, pp. 9-30

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

Using the expression for the total density matrix for a system of $N$ interacting Bose particles found in our previous papers, we calculate the one-particle density matrix in the coordinate representation. At low temperatures, the leading approximation of this matrix reproduces the results of the Bogoliubov theory. In the classical limit, the proposed theory reproduces the results of the theory of the classical liquid in the approximation of chaotic phases. From the one-particle density matrix, we find the particle momentum distribution function and the mean kinetic energy of the Bose liquid and investigate the phenomenon of Bose–Einstein condensation.
Keywords: Bose liquid, Bose condensate.
Mots-clés : $\lambda$-transition 
@article{TMF_2008_154_1_a1,
     author = {I. A. Vakarchuk},
     title = {One-particle density matrix of liquid $^4\text{He}$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {9--30},
     publisher = {mathdoc},
     volume = {154},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_1_a1/}
}
TY  - JOUR
AU  - I. A. Vakarchuk
TI  - One-particle density matrix of liquid $^4\text{He}$
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2008
SP  - 9
EP  - 30
VL  - 154
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2008_154_1_a1/
LA  - ru
ID  - TMF_2008_154_1_a1
ER  - 
%0 Journal Article
%A I. A. Vakarchuk
%T One-particle density matrix of liquid $^4\text{He}$
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2008
%P 9-30
%V 154
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2008_154_1_a1/
%G ru
%F TMF_2008_154_1_a1
I. A. Vakarchuk. One-particle density matrix of liquid $^4\text{He}$. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 1, pp. 9-30. http://geodesic.mathdoc.fr/item/TMF_2008_154_1_a1/