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.
@article{ZNSL_1984_133_a9,
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},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a9/}
}
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/