Asymptotics of the Fredholm Determinant Associated with the Correlation Functions of the Quantum Nonlinear Schrödinger Equation
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 80-93
N. A. Slavnov. Asymptotics of the Fredholm Determinant Associated with the Correlation Functions of the Quantum Nonlinear Schrödinger Equation. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 80-93. http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a7/
@article{ZNSL_1998_251_a7,
     author = {N. A. Slavnov},
     title = {Asymptotics of the {Fredholm} {Determinant} {Associated} with the {Correlation} {Functions} of the {Quantum} {Nonlinear} {Schr\"odinger} {Equation}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {80--93},
     year = {1998},
     volume = {251},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a7/}
}
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The correlation functions of the quantum nonlinear Schrödinger equation can be presented in terms of a Fredholm determinant. The explicit expression for this determinant is found for the large time and long distance.