Göhmann, F.; Korepin, V. E. A quantum version of the inverse scattering transformation. (English) Zbl 0990.81137 Harnad, John (ed.) et al., Isomonodromic deformations and applications in physics. CRM workshop, Montréal, Canada, May 1-6, 2000. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 31, 149-161 (2002). MSC: 81U40 35Q51 34M35 PDFBibTeX XMLCite \textit{F. Göhmann} and \textit{V. E. Korepin}, in: Isomonodromic deformations and applications in physics. CRM workshop, Montréal, Canada, May 1--6, 2000. Providence, RI: American Mathematical Society (AMS). 149--161 (2002; Zbl 0990.81137)
Korepin, V.; Slavnov, N. Quantum inverse scattering method and correlation functions. (English) Zbl 0966.35123 Semenov-Tian-Shansky, Michael (ed.), L. D. Faddeev’s seminar on mathematical physics. Providence, RI: American Mathematical Society (AMS). Transl., Ser. 2, Am. Math. Soc. 201, 115-121 (2000). MSC: 35Q55 81R12 37K15 PDFBibTeX XMLCite \textit{V. Korepin} and \textit{N. Slavnov}, Transl., Ser. 2, Am. Math. Soc. 201, 115--121 (2000; Zbl 0966.35123)
Göhmann, F.; Korepin, V. E. Solution of the quantum inverse problem. (English) Zbl 0972.82036 J. Phys. A, Math. Gen. 33, No. 6, 1199-1220 (2000). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 82B20 81U40 82B23 PDFBibTeX XMLCite \textit{F. Göhmann} and \textit{V. E. Korepin}, J. Phys. A, Math. Gen. 33, No. 6, 1199--1220 (2000; Zbl 0972.82036) Full Text: DOI arXiv
Korepin, Vladimir E.; Oota, Takeshi Scattering of plane waves in self-dual Yang-Mills theory. (English) Zbl 0898.58062 J. Phys. A, Math. Gen. 29, No. 24, L625-L628 (1996). MSC: 58Z05 81T13 PDFBibTeX XMLCite \textit{V. E. Korepin} and \textit{T. Oota}, J. Phys. A, Math. Gen. 29, No. 24, L\, 625-L\, 628 (1996; Zbl 0898.58062) Full Text: DOI arXiv
Essler, Fabian H. L.; Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E. Integro-difference equation for a correlation function of the spin-\(\frac 12\) Heisenberg \(XXZ\) chain. (English) Zbl 1009.82506 Nucl. Phys., B 446, No. 3, 448-460 (1995). MSC: 82B23 81U40 PDFBibTeX XMLCite \textit{F. H. L. Essler} et al., Nucl. Phys., B 446, No. 3, 448--460 (1995; Zbl 1009.82506) Full Text: DOI arXiv
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A. The matrix Riemann-Hilbert problem and differential equation for correlation function of the \(XXO\) Heisenberg chain. (English. Russian original) Zbl 0836.35113 St. Petersbg. Math. J. 6, No. 2, 315-326 (1995); translation from Algebra Anal. 6, No. 2, 138-151 (1994). Reviewer: Igor E. Tralle (Minsk) MSC: 35Q15 37J35 37K10 35Q40 81U40 82B21 PDFBibTeX XMLCite \textit{A. G. Izergin} et al., St. Petersbg. Math. J. 6, No. 2, 138--151 (1994; Zbl 0836.35113); translation from Algebra Anal. 6, No. 2, 138--151 (1994)
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A. The quantum correlation function as the \(\tau\) function of classical differential equations. (English) Zbl 0814.35108 Fokas, A. S. (ed.) et al., Important developments in soliton theory. Berlin: Springer-Verlag. Springer Ser. Nonlinear Dyn. 407-417 (1993). MSC: 35Q40 81S10 35Q55 37J35 37K10 PDFBibTeX XMLCite \textit{A. R. Its} et al., in: Important developments in soliton theory. Berlin: Springer-Verlag. 407--417 (1993; Zbl 0814.35108)
Korepin, V. E.; Bogoliubov, N. M.; Izergin, A. G. Quantum inverse scattering method and correlation functions. (English) Zbl 0787.47006 Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge University Press. xiii, 555 p. (1993). Reviewer: Michael Demuth (Potsdam) MSC: 81U40 35Q40 81-02 82-02 35R30 82B23 PDFBibTeX XMLCite \textit{V. E. Korepin} et al., Quantum inverse scattering method and correlation functions. Cambridge: Cambridge University Press (1993; Zbl 0787.47006) Full Text: arXiv
Bogolyubov, N. M.; Izergin, A. G.; Korepin, V. E. Correlation functions of integrable systems and the quantum inverse problem method. (Корреляционные функции интегрируемых систем и квантовый метод обратной задачи.) (Russian) Zbl 0880.47003 Moskva: Nauka. 240 p. (1992). MSC: 81U40 35Q40 81-02 82-02 35R30 82B23 PDFBibTeX XMLCite \textit{N. M. Bogolyubov} et al., Корреляционные функции интегрируемых систем и квантовый метод обратной задачи (Russian). Moskva: Nauka (1992; Zbl 0880.47003)
Izergin, A. G.; Coker, D. A.; Korepin, V. E. Determinant formula for the six-vertex model. (English) Zbl 0764.60114 J. Phys. A, Math. Gen. 25, No. 16, 4315-4334 (1992). MSC: 60K40 82B44 PDFBibTeX XMLCite \textit{A. G. Izergin} et al., J. Phys. A, Math. Gen. 25, No. 16, 4315--4334 (1992; Zbl 0764.60114) Full Text: DOI
Korepin, V. E.; Slavnov, N. A. Correlation function of fields in one-dimensional Bose-gas. (English) Zbl 0727.35130 Commun. Math. Phys. 136, No. 3, 633-644 (1991). Reviewer: V.E.Korepin MSC: 35Q55 81V70 PDFBibTeX XMLCite \textit{V. E. Korepin} and \textit{N. A. Slavnov}, Commun. Math. Phys. 136, No. 3, 633--644 (1991; Zbl 0727.35130) Full Text: DOI
Its, A. R.; Izergin, A. G.; Korepin, V. E. Long-distance asymptotics of temperature correlators of the impenetrable Bose gas. (English) Zbl 0702.76089 Commun. Math. Phys. 130, No. 3, 471-488 (1990). MSC: 76P05 82D05 PDFBibTeX XMLCite \textit{A. R. Its} et al., Commun. Math. Phys. 130, No. 3, 471--488 (1990; Zbl 0702.76089) Full Text: DOI
Kirillov, A. N.; Korepin, V. E. Norms of bound states. (English. Russian original) Zbl 0637.47004 J. Sov. Math. 40, No. 1, 13-21 (1988); translation from Zap. Nauchn. Semin. Otd. Mat. Inst. Steklova 146, 20-30 (1985). MSC: 47A40 81T25 82B20 47A30 PDFBibTeX XMLCite \textit{A. N. Kirillov} and \textit{V. E. Korepin}, J. Sov. Math. 40, No. 1, 13--21 (1988; Zbl 0637.47004); translation from Zap. Nauchn. Semin. Otd. Mat. Inst. Steklova 146, 20--30 (1985) Full Text: DOI
Izergin, A. G.; Korepin, V. E. Correlation functions for the Heisenberg \(XXZ\)-antiferromagnet. (English) Zbl 1094.82503 Commun. Math. Phys. 99, No. 2, 271-302 (1985). MSC: 82B10 81U40 82B20 PDFBibTeX XMLCite \textit{A. G. Izergin} and \textit{V. E. Korepin}, Commun. Math. Phys. 99, 271--302 (1985; Zbl 1094.82503) Full Text: DOI
Izergin, A. G.; Korepin, V. E. Correlation functions in the quantum inverse scattering method. (English) Zbl 0579.60098 J. Sov. Math. 31, 3317-3330 (1985). MSC: 60K35 81T08 82B20 PDFBibTeX XMLCite \textit{A. G. Izergin} and \textit{V. E. Korepin}, J. Sov. Math. 31, 3317--3330 (1985; Zbl 0579.60098) Full Text: DOI
Izergin, A. G.; Korepin, V. E. Correlation functions in the quantum inverse scattering method. (Russian. English summary) Zbl 0538.60097 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 133, 92-112 (1984). Reviewer: R.Alicki MSC: 60K35 81U40 81T08 82B20 PDFBibTeX XMLCite \textit{A. G. Izergin} and \textit{V. E. Korepin}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 133, 92--112 (1984; Zbl 0538.60097) Full Text: EuDML
Izergin, A. G.; Korepin, V. E. The quantum inverse scattering method approach to correlation functions. (English) Zbl 1093.82504 Commun. Math. Phys. 94, No. 1, 67-92 (1984). MSC: 82B10 81U40 81T25 82B20 37K10 PDFBibTeX XMLCite \textit{A. G. Izergin} and \textit{V. E. Korepin}, Commun. Math. Phys. 94, 67--92 (1984; Zbl 1093.82504) Full Text: DOI
Korepin, V. E. Calculation of norms of Bethe wave functions. (English) Zbl 0531.60096 Commun. Math. Phys. 86, 391-418 (1982). Reviewer: Y.Prahalad MSC: 60K35 82B10 82B26 PDFBibTeX XMLCite \textit{V. E. Korepin}, Commun. Math. Phys. 86, 391--418 (1982; Zbl 0531.60096) Full Text: DOI
Izergin, A. G.; Korepin, V. E. The inverse scattering method approach to the quantum Shabat-Mikhailov model. (English) Zbl 0441.35053 Prepr. LOMI E-3-80, 28 p. (1980). MSC: 35P25 81U40 35R30 82B10 82B20 PDFBibTeX XML