Gorsky, Alexander; Varchenko, Alexander Calogero-Moser eigenfunctions modulo \(p^s\). (English) Zbl 07821447 Lett. Math. Phys. 114, No. 2, Paper No. 44, 27 p. (2024). MSC: 11T55 37J15 81R12 PDFBibTeX XMLCite \textit{A. Gorsky} and \textit{A. Varchenko}, Lett. Math. Phys. 114, No. 2, Paper No. 44, 27 p. (2024; Zbl 07821447) Full Text: DOI arXiv
Sarkissian, G. A.; Spiridonov, V. P. Complex hypergeometric functions and integrable many-body problems. (English) Zbl 1519.70018 J. Phys. A, Math. Theor. 55, No. 38, Article ID 385203, 24 p. (2022). Reviewer: Arsen Melikyan (Brasília) MSC: 70H06 70F10 70H40 81V70 PDFBibTeX XMLCite \textit{G. A. Sarkissian} and \textit{V. P. Spiridonov}, J. Phys. A, Math. Theor. 55, No. 38, Article ID 385203, 24 p. (2022; Zbl 1519.70018) Full Text: DOI arXiv
Fordy, Allan P.; Huang, Qing Integrable and superintegrable extensions of the rational Calogero-Moser model in three dimensions. (English) Zbl 1506.70019 J. Phys. A, Math. Theor. 55, No. 22, Article ID 225203, 36 p. (2022). MSC: 70H06 70G65 81R12 PDFBibTeX XMLCite \textit{A. P. Fordy} and \textit{Q. Huang}, J. Phys. A, Math. Theor. 55, No. 22, Article ID 225203, 36 p. (2022; Zbl 1506.70019) Full Text: DOI arXiv
Zabrodin, A. How Calogero-Moser particles can stick together. (English) Zbl 1519.81321 J. Phys. A, Math. Theor. 54, No. 22, Article ID 225201, 7 p. (2021). MSC: 81R12 81V70 37K10 PDFBibTeX XMLCite \textit{A. Zabrodin}, J. Phys. A, Math. Theor. 54, No. 22, Article ID 225201, 7 p. (2021; Zbl 1519.81321) Full Text: DOI arXiv
Berntson, Bjorn K.; Klabbers, Rob; Langmann, Edwin Multi-solitons of the half-wave maps equation and Calogero-Moser spin-pole dynamics. (English) Zbl 1519.81258 J. Phys. A, Math. Theor. 53, No. 50, Article ID 505702, 32 p. (2020). MSC: 81Q80 81R12 76Y05 37K10 PDFBibTeX XMLCite \textit{B. K. Berntson} et al., J. Phys. A, Math. Theor. 53, No. 50, Article ID 505702, 32 p. (2020; Zbl 1519.81258) Full Text: DOI arXiv
Dai, Jia-Liang A universal construction of Calogero-Moser system with two types spins interaction. (English) Zbl 1452.81129 Commun. Theor. Phys. 71, No. 5, 533-544 (2019). MSC: 81R10 81U99 82C22 PDFBibTeX XMLCite \textit{J.-L. Dai}, Commun. Theor. Phys. 71, No. 5, 533--544 (2019; Zbl 1452.81129) Full Text: DOI
Chalykh, Oleg Quantum Lax pairs via Dunkl and Cherednik operators. (English) Zbl 1436.81058 Commun. Math. Phys. 369, No. 1, 261-316 (2019). Reviewer: Eugene Kryachko (Kyiv) MSC: 81R12 81V70 17B80 20C08 37K10 PDFBibTeX XMLCite \textit{O. Chalykh}, Commun. Math. Phys. 369, No. 1, 261--316 (2019; Zbl 1436.81058) Full Text: DOI arXiv Link
Krivonos, Sergey; Lechtenfeld, Olaf; Sutulin, Anton Supersymmetric many-body Euler-Calogero-Moser model. (English) Zbl 1411.81210 Phys. Lett., B 790, 191-196 (2019). MSC: 81T60 81V70 PDFBibTeX XMLCite \textit{S. Krivonos} et al., Phys. Lett., B 790, 191--196 (2019; Zbl 1411.81210) Full Text: DOI arXiv
Sergeev, A. N. Lie superalgebras and Calogero-Moser-Sutherland systems. (English. Russian original) Zbl 1422.17014 J. Math. Sci., New York 235, No. 6, 756-787 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 136, 72-102 (2017). MSC: 17B10 17-02 17B22 81R10 PDFBibTeX XMLCite \textit{A. N. Sergeev}, J. Math. Sci., New York 235, No. 6, 756--787 (2018; Zbl 1422.17014); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 136, 72--102 (2017) Full Text: DOI
Jairuk, Umpon; Tanasittikosol, Monsit; Yoo-Kong, Sikarin On the Lagrangian 1-form structure of the hyperbolic Calogero-Moser system. (English) Zbl 1384.81048 Rep. Math. Phys. 79, No. 3, 299-330 (2017). MSC: 81R12 37J35 37K10 PDFBibTeX XMLCite \textit{U. Jairuk} et al., Rep. Math. Phys. 79, No. 3, 299--330 (2017; Zbl 1384.81048) Full Text: DOI arXiv
Khoroshkin, S. M.; Matushko, M. G.; Sklyanin, E. K. On spin Calogero-Moser system at infinity. (English) Zbl 1362.81102 J. Phys. A, Math. Theor. 50, No. 11, Article ID 115203, 26 p. (2017). MSC: 81V70 17B69 17B81 81R12 PDFBibTeX XMLCite \textit{S. M. Khoroshkin} et al., J. Phys. A, Math. Theor. 50, No. 11, Article ID 115203, 26 p. (2017; Zbl 1362.81102) Full Text: DOI arXiv
Grechishnikov, Leonid V. Nekrasov functions and the \(\mathrm{SU}(2)\) Calogero-Moser system. (English) Zbl 1339.35256 Math. Notes 98, No. 4, 589-600 (2015). MSC: 35Q40 81T60 81T13 81Q60 57R57 PDFBibTeX XMLCite \textit{L. V. Grechishnikov}, Math. Notes 98, No. 4, 589--600 (2015; Zbl 1339.35256) Full Text: DOI
Hallnäs, Martin; Ruijsenaars, Simon A recursive construction of joint eigenfunctions for the hyperbolic nonrelativistic Calogero-Moser Hamiltonians. (English) Zbl 1328.35242 Int. Math. Res. Not. 2015, No. 20, 10278-10313 (2015). MSC: 35Q82 81R12 37J35 33C67 82B21 PDFBibTeX XMLCite \textit{M. Hallnäs} and \textit{S. Ruijsenaars}, Int. Math. Res. Not. 2015, No. 20, 10278--10313 (2015; Zbl 1328.35242) Full Text: DOI arXiv
Ruijsenaars, Simon A relativistic conical function and its Whittaker limits. (English) Zbl 1244.33001 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 101, 54 p. (2011). MSC: 33C05 33E30 39A10 81Q05 81Q80 PDFBibTeX XMLCite \textit{S. Ruijsenaars}, SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 101, 54 p. (2011; Zbl 1244.33001) Full Text: DOI arXiv
Emsiz, E.; Opdam, E. M.; Stokman, J. V. Trigonometric Cherednik algebra at critical level and quantum many-body problems. (English) Zbl 1211.81071 Sel. Math., New Ser. 14, No. 3-4, 571-605 (2009). Reviewer: Eugene Kryachko (Liège) MSC: 81R12 20C08 PDFBibTeX XMLCite \textit{E. Emsiz} et al., Sel. Math., New Ser. 14, No. 3--4, 571--605 (2009; Zbl 1211.81071) Full Text: DOI arXiv
Ben-Zvi, David; Nevins, Thomas From solitons to many-body systems. (English) Zbl 1153.37031 Pure Appl. Math. Q. 4, No. 2, 319-361 (2008). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K10 37K20 35Q51 35Q53 70F10 81R12 PDFBibTeX XMLCite \textit{D. Ben-Zvi} and \textit{T. Nevins}, Pure Appl. Math. Q. 4, No. 2, 319--361 (2008; Zbl 1153.37031) Full Text: DOI arXiv
Sergeev, A. N.; Veselov, A. P. Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials. (English) Zbl 1069.05076 Adv. Math. 192, No. 2, 341-375 (2005). MSC: 05E05 81R12 33D45 PDFBibTeX XMLCite \textit{A. N. Sergeev} and \textit{A. P. Veselov}, Adv. Math. 192, No. 2, 341--375 (2005; Zbl 1069.05076) Full Text: DOI arXiv
Takemura, Kouichi The Heun equation and the Calogero-Moser-Sutherland system. II: Perturbation and algebraic solution. (English) Zbl 1087.81029 Electron. J. Differ. Equ. 2004, Paper No. 15, 30 p. (2004). MSC: 81R12 81Q05 33E15 81Q10 PDFBibTeX XMLCite \textit{K. Takemura}, Electron. J. Differ. Equ. 2004, Paper No. 15, 30 p. (2004; Zbl 1087.81029) Full Text: arXiv EuDML EMIS
Feigin, M.; Veselov, A. P. Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems. (English) Zbl 1034.81024 Int. Math. Res. Not. 2003, No. 46, 2487-2511 (2003). Reviewer: Dimitar A. Kolev (Sofia) MSC: 81R12 37J35 37N20 81R50 PDFBibTeX XMLCite \textit{M. Feigin} and \textit{A. P. Veselov}, Int. Math. Res. Not. 2003, No. 46, 2487--2511 (2003; Zbl 1034.81024) Full Text: DOI arXiv
Etingof, Pavel; Ginzburg, Victor On \(m\)-quasi-invariants of a Coxeter group. (English) Zbl 1028.81027 Mosc. Math. J. 2, No. 3, 555-566 (2002). MSC: 81R12 20F55 13A50 PDFBibTeX XMLCite \textit{P. Etingof} and \textit{V. Ginzburg}, Mosc. Math. J. 2, No. 3, 555--566 (2002; Zbl 1028.81027) Full Text: arXiv
Komori, Yasushi Essential self-adjointness of the elliptic Ruijsenaars models. (English) Zbl 1011.81018 J. Math. Phys. 42, No. 9, 4523-4553 (2001). MSC: 81R12 81Q15 17B67 81Q10 39A99 PDFBibTeX XMLCite \textit{Y. Komori}, J. Math. Phys. 42, No. 9, 4523--4553 (2001; Zbl 1011.81018) Full Text: DOI
Ruijsenaars, Simon N. M. Hilbert space theory for reflectionless relativistic potentials. (English) Zbl 1006.81019 Publ. Res. Inst. Math. Sci. 36, No. 6, 707-753 (2000). Reviewer: Farruh Mukhamedov (Tashkent) MSC: 81Q10 47B39 33E30 PDFBibTeX XMLCite \textit{S. N. M. Ruijsenaars}, Publ. Res. Inst. Math. Sci. 36, No. 6, 707--753 (2000; Zbl 1006.81019) Full Text: DOI
Chalykh, O. A.; Goncharenko, V. M.; Veselov, A. P. Multidimensional integrable Schrödinger operators with matrix potential. (English) Zbl 0952.37037 J. Math. Phys. 40, No. 11, 5341-5355 (1999). Reviewer: Samir Musayev (Baku) MSC: 37K10 34L40 34M99 81Q05 PDFBibTeX XMLCite \textit{O. A. Chalykh} et al., J. Math. Phys. 40, No. 11, 5341--5355 (1999; Zbl 0952.37037) Full Text: DOI Link
Rañada, Manuel F. Lax formalism for a family of integrable Calogero-Moser related \(n\)-particle systems. (English) Zbl 0959.37053 Phys. Lett., A 238, No. 1, 29-34 (1998). MSC: 37K10 81V70 70H05 PDFBibTeX XMLCite \textit{M. F. Rañada}, Phys. Lett., A 238, No. 1, 29--34 (1998; Zbl 0959.37053) Full Text: DOI
Kuznetsov, V. B.; Sklyanin, E. K. On Bäcklund transformations for many-body systems. (English) Zbl 0951.37041 J. Phys. A, Math. Gen. 31, No. 9, 2241-2251 (1998). Reviewer: Samir Musayev (Baku) MSC: 37L60 37N20 37K35 81T10 PDFBibTeX XMLCite \textit{V. B. Kuznetsov} and \textit{E. K. Sklyanin}, J. Phys. A, Math. Gen. 31, No. 9, 2241--2251 (1998; Zbl 0951.37041) Full Text: DOI arXiv
Arutyunov, G. E.; Frolov, S. A. Quantum dynamical R-matrices and quantum Frobenius group. (English) Zbl 0892.17015 Commun. Math. Phys. 191, No. 1, 15-29 (1998). MSC: 17B37 81R50 46L85 46L87 PDFBibTeX XMLCite \textit{G. E. Arutyunov} and \textit{S. A. Frolov}, Commun. Math. Phys. 191, No. 1, 15--29 (1998; Zbl 0892.17015) Full Text: DOI arXiv
Kuznetsov, V. B.; Nijhoff, F. W.; Sklyanin, E. K. Separation of variables for the Ruijsenaars system. (English) Zbl 0892.58040 Commun. Math. Phys. 189, No. 3, 855-877 (1997). MSC: 37J35 37K10 81U20 70H40 81V70 PDFBibTeX XMLCite \textit{V. B. Kuznetsov} et al., Commun. Math. Phys. 189, No. 3, 855--877 (1997; Zbl 0892.58040) Full Text: DOI arXiv
Buchstaber, V.; Krichever, I. Multidimensional vector addition theorems and the Riemann theta functions. (English) Zbl 1061.14502 Int. Math. Res. Not. 1996, No. 10, 505-513 (1996). MSC: 14K25 14H40 14H42 39B62 81V70 PDFBibTeX XMLCite \textit{V. Buchstaber} and \textit{I. Krichever}, Int. Math. Res. Not. 1996, No. 10, 505--513 (1996; Zbl 1061.14502) Full Text: DOI
Nijhoff, F. W.; Ragnisco, O.; Kuznetsov, V. B. Integrable time-discretization of the Ruijsenaars-Schneider model. (English) Zbl 0851.58025 Commun. Math. Phys. 176, No. 3, 681-700 (1996). MSC: 37J35 37K10 81T27 37J99 PDFBibTeX XMLCite \textit{F. W. Nijhoff} et al., Commun. Math. Phys. 176, No. 3, 681--700 (1996; Zbl 0851.58025) Full Text: DOI arXiv
Kasman, Alex Bispectral KP solutions and linearization of Calogero-Moser particle systems. (English) Zbl 0842.58047 Commun. Math. Phys. 172, No. 2, 427-448 (1995). MSC: 37J35 37K10 35Q58 81V25 PDFBibTeX XMLCite \textit{A. Kasman}, Commun. Math. Phys. 172, No. 2, 427--448 (1995; Zbl 0842.58047) Full Text: DOI arXiv
Ruijsenaars, S. N. M. Complete integrability of relativistic Calogero-Moser systems and elliptic function identities. (English) Zbl 0673.58024 Commun. Math. Phys. 110, 191-213 (1987). Reviewer: H.H.Torriani MSC: 37J35 37K10 81S99 33E05 15A15 PDFBibTeX XMLCite \textit{S. N. M. Ruijsenaars}, Commun. Math. Phys. 110, 191--213 (1987; Zbl 0673.58024) Full Text: DOI