Geodesic
Thermodynamics of a~one-dimensional lattice Bose gas
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 3, pp. 451-462

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The equilibrium thermodynamics of a one-dimensional lattice Bose gas with repulsion is considered. This model is related to the discrete analog of the quantum nonlinear Schrödinger equation, which can be solved by the quantum inverse scattering method. The partition function is represented in the form of a functional integral. The lowtemperature limit is studied in detail. 
@article{TMF_1986_67_3_a9,
     author = {N. M. Bogolyubov},
     title = {Thermodynamics of a~one-dimensional lattice {Bose} gas},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {451--462},
     publisher = {mathdoc},
     volume = {67},
     number = {3},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_67_3_a9/}
}
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N. M. Bogolyubov. Thermodynamics of a~one-dimensional lattice Bose gas. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 3, pp. 451-462. http://geodesic.mathdoc.fr/item/TMF_1986_67_3_a9/