Correlation functions of the one-dimensional Bose gas in the repulsive case
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 133-145

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It shown that the one-dimensional Bose gas is equivalent to the quantum non-linear Schrödinger equation. The ground state of the system is the Dirac sea with finite density. Correlation functions in this model are calculated by means of quantum inverse scattering method.
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     author = {V. E. Korepin},
     title = {Correlation functions of the one-dimensional {Bose} gas in the repulsive case},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {133--145},
     publisher = {mathdoc},
     volume = {133},
     year = {1984},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a9/}
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V. E. Korepin. Correlation functions of the one-dimensional Bose gas in the repulsive case. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 133-145. http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a9/