Geodesic
On complete screening in the one-dimensional Bose gas
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 6, Tome 150 (1986), pp. 3-6

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The hypothesis of the complete screening is proved for the one dimensional quantum Bose gas at zero temperature. The asymptotics of the squared particle number operator for the finite interval is obtained. 
@article{ZNSL_1986_150_a0,
     author = {N. M. Bogolyubov and V. E. Korepin},
     title = {On complete screening in the one-dimensional {Bose} gas},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {150},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_150_a0/}
}
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N. M. Bogolyubov; V. E. Korepin. On complete screening in the one-dimensional Bose gas. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 6, Tome 150 (1986), pp. 3-6. http://geodesic.mathdoc.fr/item/ZNSL_1986_150_a0/