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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 119, Number 2, Pages 179–248
DOI: https://doi.org/10.4213/tmf736 (Mi tmf736) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On the Riemann–Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case

A. R. Itsa, N. A. Slavnovb

a IUPUI, Department of Mathematical Sciences
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (585 kB) Citations (14)
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DOI: https://doi.org/10.4213/tmf736
Abstract: We consider the local field dynamic temperature correlation function of the quantum nonlinear Schrödinger equation with a finite coupling constant. This correlation function admits a Fredholm determinant representation. The related operator-valued Riemann–Hilbert problem is used to analyze the leading term of the large time and distance asymptotic expansion of the correlation function.
Received: 28.10.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 119, Issue 2, Pages 541–593
DOI: https://doi.org/10.1007/BF02557351
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. R. Its, N. A. Slavnov, “On the Riemann–Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case”, TMF, 119:2 (1999), 179–248; Theoret. and Math. Phys., 119:2 (1999), 541–593
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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