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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 71, Number 2, Pages 208–217
(Mi tmf4932)
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On the irreducible part of the current correlation function in quantum completely integrable models
A. V. Zabrodin
Abstract:
A method for finding irreducible parts of currents correlation function in completely
integrable quantum models with the $R$-matrix of the XXX-type is suggested. Explicit
formulas for the Fouries coefficients of the irreducible part $A_n^k$ are obtained for
$n=4,5$ and some general properties of this coefficients for arbitrary $n$ are pointed out.
It is found that in the quantum nonlinear Schrödinger equation (in the repulsion case
at finite density) the expansion of the currents correlator in the power series in the
inverse large coupling constant agrees (at least up to the second order) with the hypothesis
about the power law of the decreasing of the amplitude of correlator oscillations
at large distances.
Received: 26.11.1985
Citation:
A. V. Zabrodin, “On the irreducible part of the current correlation function in quantum completely integrable models”, TMF, 71:2 (1987), 208–217; Theoret. and Math. Phys., 71:2 (1987), 485–491
Linking options:
https://www.mathnet.ru/eng/tmf4932 https://www.mathnet.ru/eng/tmf/v71/i2/p208
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