-
1
-
-
14944363471
-
A new class of integrable systems and its relation to solitons
-
Ruijsenaars, S. N. M. and Schneider, H., A new class of integrable systems and its relation to solitons, Ann. Phys. (N.Y.), 170 (1986), 370–405.
-
(1986)
Ann. Phys. (N.Y.)
, vol.170
, pp. 370-405
-
-
Ruijsenaars, S.N.M.1
Schneider, H.2
-
2
-
-
3543099119
-
Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
-
Ruijsenaars, S. N. M., Complete integrability of relativistic Calogero-Moser systems and elliptic function identities, Comm. Math. Phys., 110 (1987), 191–213.
-
(1987)
Comm. Math. Phys.
, vol.110
, pp. 191-213
-
-
Ruijsenaars, S.N.M.1
-
3
-
-
0001941773
-
-
CRM series in mathematical physics, G. Semenoff, L. Vinet, Eds. Systems of Calogero-Moser type, in Springer, New York
-
Ruijsenaars, S. N. M., Systems of Calogero-Moser type, in “Proceedings of the 1994 Banff summer school Particles and fields”, CRM series in mathematical physics, G. Semenoff, L. Vinet, Eds., pp. 251–352, Springer, New York, 1999.
-
(1999)
Proceedings of the 1994 Banff summer school Particles and fields
, pp. 251-352
-
-
Ruijsenaars, S.N.M.1
-
4
-
-
0031581021
-
On trigonometric intertwining vectors and non-dynamical R-matrix for the Ruijsenaars model
-
Antonov, A., Hasegawa, K. and Zabrodin, A., On trigonometric intertwining vectors and non-dynamical R-matrix for the Ruijsenaars model, Nucl. Phys. B, 503 (1997), 747–770.
-
(1997)
Nucl. Phys. B
, vol.503
, pp. 747-770
-
-
Antonov, A.1
Hasegawa, K.2
Zabrodin, A.3
-
5
-
-
0031582539
-
Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the affine Heisenberg double
-
Arutyunov, G. E., Frolov, S. A. and Medvedev, P. B., Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the affine Heisenberg double, J. Phys. A, 30 (1997), 5051–5063.
-
(1997)
J. Phys. A
, vol.30
, pp. 5051-5063
-
-
Arutyunov, G.E.1
Frolov, S.A.2
Medvedev, P.B.3
-
6
-
-
0031513243
-
Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group
-
Arutyunov, G. E., Chekhov, L. O. and Medvedev, P. B., Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group, J. Math. Phys., 38 (1997), 5682–5689.
-
(1997)
J. Math. Phys.
, vol.38
, pp. 5682-5689
-
-
Arutyunov, G.E.1
Chekhov, L.O.2
Medvedev, P.B.3
-
7
-
-
0032383908
-
R-matrix quantization of the elliptic Ruijsenaars-Schneider model
-
Arutyunov, G. E., Chekhov, L. O. and Frolov, S. A., R-matrix quantization of the elliptic Ruijsenaars-Schneider model, Comm. Math. Phys., 192 (1998), 405–432.
-
(1998)
Comm. Math. Phys.
, vol.192
, pp. 405-432
-
-
Arutyunov, G.E.1
Chekhov, L.O.2
Frolov, S.A.3
-
8
-
-
0041875714
-
The classical r-matrix for the relativistic Ruijsenaars-Schneider system
-
Avan, J. and Rollet, G., The classical r-matrix for the relativistic Ruijsenaars-Schneider system, Phys. Lett. A, 212 (1996), 50–54.
-
(1996)
Phys. Lett. A
, vol.212
, pp. 50-54
-
-
Avan, J.1
Rollet, G.2
-
9
-
-
0000818426
-
Affine Toda solitons and systems of Calogero-Moser type
-
Braden, H. W. and Hone, A. N. W., Affine Toda solitons and systems of Calogero-Moser type, Phys. Lett. B, 380 (1996), 296–302.
-
(1996)
Phys. Lett. B
, vol.380
, pp. 296-302
-
-
Braden, H.W.1
Hone, A.N.W.2
-
10
-
-
0040050919
-
The Ruijsenaars-Schneider model
-
Braden, H. W. and Sasaki, R., The Ruijsenaars-Schneider model, Prog. Theor. Phys., 97 (1997), 1003–1017.
-
(1997)
Prog. Theor. Phys.
, vol.97
, pp. 1003-1017
-
-
Braden, H.W.1
Sasaki, R.2
-
11
-
-
0033523574
-
The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory
-
Braden, H. W., Marshakov, A., Mironov, A. and Morozov, A., The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory, Nucl. Phys. B, 558 (1999), 371–390.
-
(1999)
Nucl. Phys. B
, vol.558
, pp. 371-390
-
-
Braden, H.W.1
Marshakov, A.2
Mironov, A.3
Morozov, A.4
-
12
-
-
0031330703
-
The duality of the generalized Calogero and Ruijsenaars problems
-
Chalykh, O. A., The duality of the generalized Calogero and Ruijsenaars problems, Russ. Math. Surveys, 52 (1997), 1289–1291.
-
(1997)
Russ. Math. Surveys
, vol.52
, pp. 1289-1291
-
-
Chalykh, O.A.1
-
13
-
-
0033235630
-
Elliptic Ruijsenaars-Schneider and Calogero-Moser models represented by Sklyanin algebra and, s. l.,(n) Gaudin algebra
-
Chen, K., Fan, H., Hou, B., Shi, K., Yang, W. and Yue, R., Elliptic Ruijsenaars-Schneider and Calogero-Moser models represented by Sklyanin algebra and, s. l.,(n) Gaudin algebra, Prog. Theor. Phys. Suppl, 135 (1999), 149–165.
-
(1999)
Prog. Theor. Phys. Suppl
, vol.135
, pp. 149-165
-
-
Chen, K.1
Fan, H.2
Hou, B.3
Shi, K.4
Yang, W.5
Yue, R.6
-
14
-
-
0043287559
-
Hou, B., Yang, W. and Zhen, Y., Nondynamical r-matrix structure of the, s. l.,(2) trigonometric Ruijsenaars-Schneider model
-
Chen, K., Hou, B., Yang, W. and Zhen, Y., Nondynamical r-matrix structure of the, s. l.,(2) trigonometric Ruijsenaars-Schneider model, Chinese Phys. Lett., 16 (1999), 1–3.
-
(1999)
Chinese Phys. Lett.
, vol.16
, pp. 1-3
-
-
Chen, K.1
-
15
-
-
21844523867
-
Elliptic quantum many-body problem and double affine Kniznik-Zamolodchikov equation
-
Cherednik, I., Elliptic quantum many-body problem and double affine Kniznik-Zamolodchikov equation, Comm. Math. Phys., 169 (1995), 441–461.
-
(1995)
Comm. Math. Phys.
, vol.169
, pp. 441-461
-
-
Cherednik, I.1
-
16
-
-
0038478157
-
Inverse Harish-Chandra transform and difference operators
-
Cherednik, I., Inverse Harish-Chandra transform and difference operators, Int. Math. Res. Notices, no. 15 (1997), 733–750.
-
(1997)
Int. Math. Res. Notices
, Issue.15
, pp. 733-750
-
-
Cherednik, I.1
-
17
-
-
0032354711
-
The quantum dynamics of the compactified trigonometric Ruijsenaars-Schneider model
-
van Diejen, J. F. and Vinet, L., The quantum dynamics of the compactified trigonometric Ruijsenaars-Schneider model, Comm. Math. Phys., 197 (1998), 33–74.
-
(1998)
Comm. Math. Phys.
, vol.197
, pp. 33-74
-
-
van Diejen, J.F.1
Vinet, L.2
-
18
-
-
0031315403
-
Elliptic quantum groups and Ruijsenaars models
-
Felder, G. and Varchenko, A., Elliptic quantum groups and Ruijsenaars models, J. Stat. Phys., 89 (1997), 963–980.
-
(1997)
J. Stat. Phys.
, vol.89
, pp. 963-980
-
-
Felder, G.1
Varchenko, A.2
-
19
-
-
0040098782
-
Algebraic integrability of the two-body Ruijsenaars operator
-
Felder, G. and Varchenko, A., Algebraic integrability of the two-body Ruijsenaars operator, Fund. Anal. Appl., 32 (1998), 81–92.
-
(1998)
Fund. Anal. Appl.
, vol.32
, pp. 81-92
-
-
Felder, G.1
Varchenko, A.2
-
20
-
-
21844494116
-
Integrable many-body systems in the field theories
-
Gorsky, A., Integrable many-body systems in the field theories, Theor. Math. Phys., 103 (1995), 681–700.
-
(1995)
Theor. Math. Phys.
, vol.103
, pp. 681-700
-
-
Gorsky, A.1
-
21
-
-
0039493494
-
Relativistic Calogero-Moser model as gauged WZW theory
-
Gorsky, A. and Nekrasov, N., Relativistic Calogero-Moser model as gauged WZW theory, Nucl. Phys. B, 436 (1995), 582–608.
-
(1995)
Nucl. Phys. B
, vol.436
, pp. 582-608
-
-
Gorsky, A.1
Nekrasov, N.2
-
22
-
-
0031480003
-
Ruijsenaars' commuting difference operators as commuting transfer matrices
-
Hasegawa, K., Ruijsenaars' commuting difference operators as commuting transfer matrices, Comm. Math. Phys., 187 (1997), 289–325.
-
(1997)
Comm. Math. Phys.
, vol.187
, pp. 289-325
-
-
Hasegawa, K.1
-
23
-
-
21344434725
-
Affine Hecke algebra, Macdonald polynomials, and quantum many-body systems
-
Hikami, K., Affine Hecke algebra, Macdonald polynomials, and quantum many-body systems, J. Phys. A, 29 (1996), L281-L287.
-
(1996)
J. Phys. A
, vol.29
, pp. L281-L287
-
-
Hikami, K.1
-
24
-
-
0041141214
-
Integrability, fusion, and duality in the elliptic Ruijsenaars model
-
Hikami, K. and Komori, Y., Integrability, fusion, and duality in the elliptic Ruijsenaars model, Mod. Phys. Lett. A, 12 (1997), 751–761.
-
(1997)
Mod. Phys. Lett. A
, vol.12
, pp. 751-761
-
-
Hikami, K.1
Komori, Y.2
-
25
-
-
0032304926
-
Diagonalization of the elliptic Ruijsenaars model. Correspondence with the Belavin model
-
Hikami, K. and Komori, Y., Diagonalization of the elliptic Ruijsenaars model. Correspondence with the Belavin model, Europ. Phys. J. B, 5 (1998), 583–588.
-
(1998)
Europ. Phys. J. B
, vol.5
, pp. 583-588
-
-
Hikami, K.1
Komori, Y.2
-
26
-
-
0032540815
-
Ruijsenaars-Macdonald-type difference operators from Zn Belavin model with open boundary conditions
-
Hou, B., Shi, K., Wang, Y. and Zhao, L., Ruijsenaars-Macdonald-type difference operators from Zn Belavin model with open boundary conditions, J. Phys. A, 31 (1998), 5911–5923.
-
(1998)
J. Phys. A
, vol.31
, pp. 5911-5923
-
-
Hou, B.1
Shi, K.2
Wang, Y.3
Zhao, L.4
-
27
-
-
0031554158
-
Prepotential and the Seiberg-Witten theory
-
Itoyama, H. and Morozov, A., Prepotential and the Seiberg-Witten theory, Nucl. Phys. B, 491 (1997), 529–573.
-
(1997)
Nucl. Phys. B
, vol.491
, pp. 529-573
-
-
Itoyama, H.1
Morozov, A.2
-
28
-
-
0032388450
-
Adler-Kostant-Symes scheme for face and Calogero-Moser- Sutherland-type models
-
Jurco, B. and Schupp, P., Adler-Kostant-Symes scheme for face and Calogero-Moser- Sutherland-type models, J. Math. Phys., 39 (1998), 3577–3588.
-
(1998)
J. Math. Phys.
, vol.39
, pp. 3577-3588
-
-
Jurco, B.1
Schupp, P.2
-
29
-
-
0000909069
-
Notes on the elliptic Ruijsenaars operators
-
Komori, Y., Notes on the elliptic Ruijsenaars operators, Lett. Math. Phys., 46 (1998), 147–155.
-
(1998)
Lett. Math. Phys.
, vol.46
, pp. 147-155
-
-
Komori, Y.1
-
30
-
-
0031582460
-
Quantum integrability of the generalized elliptic Ruijsenaars models
-
Komori, Y. and Hikami, K., Quantum integrability of the generalized elliptic Ruijsenaars models, J. Phys. A, 30 (1997), 4341–4364.
-
(1997)
J. Phys. A
, vol.30
, pp. 4341-4364
-
-
Komori, Y.1
Hikami, K.2
-
31
-
-
21344454260
-
Relativistic Calogero-Sutherland model: Spin generalization, quantum affine symmetry and dynamical correlation functions
-
Konno, H., Relativistic Calogero-Sutherland model: Spin generalization, quantum affine symmetry and dynamical correlation functions, J. Phys. A, 29 (1996), L191-L198.
-
(1996)
J. Phys. A
, vol.29
, pp. L191-L198
-
-
Konno, H.1
-
32
-
-
0030581219
-
Dynamical correlation functions and finite-size scaling in the Ruijsenaars-Schneider model
-
Konno, H., Dynamical correlation functions and finite-size scaling in the Ruijsenaars-Schneider model, Nucl. Phys. B, 473 (1996), 579–600.
-
(1996)
Nucl. Phys. B
, vol.473
, pp. 579-600
-
-
Konno, H.1
-
33
-
-
84956259690
-
Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra
-
Krichever, I. and Zabrodin, A., Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra, Russ. Math. Surveys, 50 (1995), 1101–1150.
-
(1995)
Russ. Math. Surveys
, vol.50
, pp. 1101-1150
-
-
Krichever, I.1
Zabrodin, A.2
-
34
-
-
0009436719
-
Separation of variables for the A2 Ruijsenaars model and a new integral representation for the A2 Macdonald polynomials
-
Kuznetsov, V. B. and Sklyanin, E. K., Separation of variables for the A2 Ruijsenaars model and a new integral representation for the A2 Macdonald polynomials, J. Phys. A, 29 (1998), 2779–2804.
-
(1998)
J. Phys. A
, vol.29
, pp. 2779-2804
-
-
Kuznetsov, V.B.1
Sklyanin, E.K.2
-
35
-
-
0031549898
-
Nijhoff
-
Kuznetsov, V. B., Nijhoff, F. W. and Sklyanin, E. K., Separation of variables for the Ruijsenaars system, Comm. Math. Phys., 189 (1997), 855–877.
-
(1997)
F. W. and Sklyanin, E. K., Separation of variables for the Ruijsenaars system, Comm. Math. Phys.
, vol.189
, pp. 855-877
-
-
Kuznetsov, V.B.1
-
36
-
-
0040426415
-
On Bäcklund transformations for many-body systems
-
Kuznetsov, V. B. and Sklyanin, E. K., On Bäcklund transformations for many-body systems, J. Phys. A, 31 (1998), 2241–2251.
-
(1998)
J. Phys. A
, vol.31
, pp. 2241-2251
-
-
Kuznetsov, V.B.1
Sklyanin, E.K.2
-
37
-
-
0001013361
-
Holbmorphic bundles and many-body systems
-
Nekrasov, N., Holbmorphic bundles and many-body systems, Comm. Math. Phys., 180 (1996), 587–603.
-
(1996)
Comm. Math. Phys.
, vol.180
, pp. 587-603
-
-
Nekrasov, N.1
-
38
-
-
0000531582
-
Five-dimensional gauge theories and relativistic integrable systems
-
Nekrasov, N., Five-dimensional gauge theories and relativistic integrable systems, Nucl. Phys. B, 531 (1998), 323–344.
-
(1998)
Nucl. Phys. B
, vol.531
, pp. 323-344
-
-
Nekrasov, N.1
-
39
-
-
0030551796
-
Ragnisco
-
Nijhoff, F. W., Ragnisco, O. and Kuznetsov, V. B., Integrable time-discretisation of the Ruijsenaars-Schneider model, Comm. Math. Phys., 176 (1996), 681–700.
-
(1996)
O. and Kuznetsov, V. B., Integrable time-discretisation of the Ruijsenaars-Schneider model, Comm. Math. Phys.
, vol.176
, pp. 681-700
-
-
Nijhoff, F.W.1
-
40
-
-
21344454131
-
Dynamical r-matrix for the elliptic Ruijsenaars-Schneider system
-
Nijhoff, F. W., Kuznetsov, V. B. and Sklyanin, E. K., Dynamical r-matrix for the elliptic Ruijsenaars-Schneider system, J. Phys. A, 29 (1996), L333-L340.
-
(1996)
J. Phys. A
, vol.29
, pp. L333-L340
-
-
Nijhoff, F.W.1
Kuznetsov, V.B.2
Sklyanin, E.K.3
-
41
-
-
0031480580
-
Integrable discretizations of the spin Ruijsenaars-Schneider models
-
Ragnisco, O. and Suris, Y. B., Integrable discretizations of the spin Ruijsenaars-Schneider models, J. Math. Phys., 38 (1997), 4680–4691.
-
(1997)
J. Math. Phys.
, vol.38
, pp. 4680-4691
-
-
Ragnisco, O.1
Suris, Y.B.2
-
42
-
-
0031570226
-
Integrable particle systems vs solutions to the KP and 2D Toda equations
-
Ruijsenaars, S. N. M., Integrable particle systems vs solutions to the KP and 2D Toda equations, Ann Phys. (NY), 256 (1997), 226–301.
-
(1997)
Ann Phys. (NY)
, vol.256
, pp. 226-301
-
-
Ruijsenaars, S.N.M.1
-
43
-
-
0039054087
-
Why is the Ruijsenaars-Schneider hierarchy governed by the same R-operator as the Calogero-Moser one?
-
Suris, Y. B., Why is the Ruijsenaars-Schneider hierarchy governed by the same R-operator as the Calogero-Moser one?, Phys. Lett. A, 225 (1997), 253–262.
-
(1997)
Phys. Lett. A
, vol.225
, pp. 253-262
-
-
Suris, Y.B.1
-
44
-
-
0032352930
-
Hirota equation and Bethe Ansatz
-
Zabrodin, A. V., Hirota equation and Bethe Ansatz, Theor. Math. Phys., 116 (1998), 782–820.
-
(1998)
Theor. Math. Phys.
, vol.116
, pp. 782-820
-
-
Zabrodin, A.V.1
-
45
-
-
0033241387
-
Generalized Lame functions. II. Hyperbolic and trigonometric specializations
-
Ruijsenaars, S. N. M., Generalized Lame functions. II. Hyperbolic and trigonometric specializations, J. Math. Phys., 40 (1999), 1595–1626.
-
(1999)
J. Math. Phys.
, vol.40
, pp. 1595-1626
-
-
Ruijsenaars, S.N.M.1
-
46
-
-
0003516887
-
-
Part, I., Oxford University Press, Oxford
-
Titchmarsh, E. C., Eigenfunction expansions associated with second-order differential equations. Part, I., Oxford University Press, Oxford, 1962.
-
(1962)
Eigenfunction expansions associated with second-order differential equations.
-
-
Titchmarsh, E.C.1
-
47
-
-
0004057858
-
-
Part II: Spectral theory, Interscience Publ., New York
-
Dunford, N. and Schwartz, J. T., Linear operators. Part II: Spectral theory, Interscience Publ., New York, 1963.
-
(1963)
Linear operators.
-
-
Dunford, N.1
Schwartz, J.T.2
-
48
-
-
0003316646
-
Expansions in eigenfunctions of self-adjoint operators
-
Berezanskii, Ju. M., Expansions in eigenfunctions of self-adjoint operators, Transl. Math. Monogr., 17 (1968).
-
(1968)
Transl. Math. Monogr.
, pp. 17
-
-
Berezanskii, J.M.1
-
49
-
-
0003687441
-
-
Academic Press, New York
-
Reed, M. and Simon, B., Methods of modern mathematical physics. II. Fourier analysis, self-adjomtness, Academic Press, New York, 1975.
-
(1975)
Methods of modern mathematical physics. II. Fourier analysis, self-adjomtness
-
-
Reed, M.1
Simon, B.2
-
50
-
-
0003591219
-
-
London Math. Soc. Stud. Texts, 17, Cambridge University Press, Cambridge
-
Fulling, S. A., Aspects of quantum field theory in curved space-time, London Math. Soc. Stud. Texts, 17, Cambridge University Press, Cambridge, 1989.
-
(1989)
Aspects of quantum field theory in curved space-time
-
-
Fulling, S.A.1
-
51
-
-
85024716505
-
-
Jirari, A., Second-order Sturm-Liouville difference equations and orthogonal polynomials, Mem. AMS, 113, no. 542, (1995).
-
(1995)
Second-order Sturm-Liouville difference equations and orthogonal polynomials, Mem. AMS
, vol.113
, Issue.542
-
-
Jirari, A.1
-
52
-
-
0033241385
-
Generalized Lame functions. I. The elliptic case
-
Ruijsenaars, S. N. M., Generalized Lame functions. I. The elliptic case, J. Math. Phys., 40 (1999), 1627–1663.
-
(1999)
J. Math. Phys.
, vol.40
, pp. 1627-1663
-
-
Ruijsenaars, S.N.M.1
-
53
-
-
0033525268
-
Relativistic Lame functions: The special case g = 2
-
Ruijsenaars, S. N. M., Relativistic Lame functions: The special case g = 2, J. Phys. A, 32 (1999), 1737–1772.
-
(1999)
J. Phys. A
, vol.32
, pp. 1737-1772
-
-
Ruijsenaars, S.N.M.1
-
55
-
-
0001938835
-
Finite-dimensional soliton systems
-
(B. Kupershmidt, Ed.) in World Scientific, Singapore
-
Ruijsenaars, S. N. M., Finite-dimensional soliton systems, in “Integrable and superinte-grable systems” (B. Kupershmidt, Ed.), pp. 165–206, World Scientific, Singapore, 1990.
-
(1990)
Integrable and superinte-grable systems
, pp. 165-206
-
-
Ruijsenaars, S.N.M.1
-
56
-
-
0033517395
-
A generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type
-
Ruijsenaars, S. N. M., A generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type, Comm. Math. Phys., 206 (1999), 639–690.
-
(1999)
Comm. Math. Phys.
, vol.206
, pp. 639-690
-
-
Ruijsenaars, S.N.M.1
-
59
-
-
0031540338
-
First order analytic difference equations and integrable quantum systems
-
Ruijsenaars, S. N. M., First order analytic difference equations and integrable quantum systems, J. Math. Phys., 38 (1997), 1069–1146.
-
(1997)
J. Math. Phys.
, vol.38
, pp. 1069-1146
-
-
Ruijsenaars, S.N.M.1
|