Geodesic
Representation of coherent states in the theory of many-boson systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 1, pp. 76-88 Cet article a éte moissonné depuis la source Math-Net.Ru

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A solution of the Bloch equation for the density matrix of a system of interacting Bose particles is found in the representation of coherent states. The matrix of the functional of the thermodynamic potential is represented by a functional series in eigenvalues of the annihilation operator, and the coefficient functions are matrix elements of the cluster operators. A simple functional integration in the partition function leads to the well-known quantum viriaI expansions and the standard perturbation theory series. The possibility of applying the expressions obtained here to the investigation of the $\lambda$-transition in liquid $\operatorname{He}^4$, and also their generalization to the case of a many-fermion system is discussed. 
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I. A. Vakarchuk. Representation of coherent states in the theory of many-boson systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 1, pp. 76-88. http://geodesic.mathdoc.fr/item/TMF_1978_35_1_a8/

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