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Found 55 Documents (Results 1–55)

Introduction to the algebraic Bethe ansatz. (English) Zbl 1483.82003

Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 363-371 (2020).
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Bethe vectors for orthogonal integrable models. (English. Russian original) Zbl 1441.81106

Theor. Math. Phys. 201, No. 2, 1545-1564 (2019); translation from Teor. Mat. Fiz. 201, No. 2, 153-174 (2019).
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Determinant representations for form factors in quantum integrable models with the \(\mathrm{GL}(3)\)-invariant \( R\)-matrix. (English. Russian original) Zbl 1317.81145

Theor. Math. Phys. 181, No. 3, 1566-1584 (2014); translation from Teor. Mat. Fiz. 181, No. 3, 515-537 (2014).
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Scalar products in models with the \(\mathrm{GL}(3)\) trigonometric \(R\)-matrix: general case. (English. Russian original) Zbl 1329.81182

Theor. Math. Phys. 180, No. 1, 795-814 (2014); translation from Teor. Mat. Fiz. 180, No. 1, 51-71 (2014).
MSC:  81Q10 81V70 81Q40
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Scalar products in models with a \(\mathrm{GL}(3)\) trigonometric \(R\)-matrix: highest coefficient. (English. Russian original) Zbl 1298.81109

Theor. Math. Phys. 178, No. 3, 314-335 (2014); translation from Teor. Mat. Fiz. 178, No. 3, 363-389 (2014).
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Form factor approach to the calculation of correlation functions of integrable models. (English) Zbl 1305.81088

Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24–30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0644-2/hbk; 978-3-0348-0645-9/ebook). Trends in Mathematics, 209-220 (2013).
MSC:  81Q80 82C22
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On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case. (English. Russian original) Zbl 0991.81016

Theor. Math. Phys. 119, No. 2, 541-593 (1999); translation from Teor. Mat. Fiz. 119, No. 2, 179-248 (1999).
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Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain. (English. Russian original) Zbl 0860.35120

J. Math. Sci., New York 80, No. 3, 1747-1759 (1996); translation from Zap. Nauchn. Semin. POMI 205, 6-20 (1993).
MSC:  35Q55 39A12
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