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One-particle density matrix of liquid $$^{4}\mathrm{He}$$. (English. Russian original) Zbl 1176.82050
Theor. Math. Phys. 154, No. 1, 6-25 (2008); translation from Teor. Mat. Fiz. 154, No. 1, 9-30 (2008).
Summary: 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 Bogolyubov 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.
##### MSC:
 82D50 Statistical mechanical studies of superfluids 82B10 Quantum equilibrium statistical mechanics (general)
##### Keywords:
Bose liquid; $$\lambda$$-transition; Bose condensate
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##### References:
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