-
1
-
-
0039479920
-
A time-discretized version of the Calogero-Moser model
-
Nijhoff, F.W., Pang, G.D.: A time-discretized version of the Calogero-Moser model. Phys. Lett. 191A, 101-107 (1994)
-
(1994)
Phys. Lett.
, vol.191 A
, pp. 101-107
-
-
Nijhoff, F.W.1
Pang, G.D.2
-
3
-
-
0039479940
-
Discrete-time Calogero-Moser model and lattice KP equations
-
Levi, D., Vinet, L., Winternitz, P. (eds.), CRM Lecture Notes and Proceedings, to be published, hep-th/ 9409071
-
Nijhoff, F.W., Pang, G.D.: Discrete-time Calogero-Moser model and lattice KP equations. In: Proc. of the Intl. Workshop on Symmetries and Integrability of Difference Equations. Levi, D., Vinet, L., Winternitz, P. (eds.), CRM Lecture Notes and Proceedings, to be published, hep-th/ 9409071
-
Proc. of the Intl. Workshop on Symmetries and Integrability of Difference Equations
-
-
Nijhoff, F.W.1
Pang, G.D.2
-
4
-
-
29744455506
-
Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials
-
Calogero, F.: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials. J. Math. Phys. 12, 419-436 (1971); J. Math. Phys. 10, 2191 (1969); ibid. 12, 418 (1971)
-
(1971)
J. Math. Phys.
, vol.12
, pp. 419-436
-
-
Calogero, F.1
-
5
-
-
0000680872
-
-
Calogero, F.: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials. J. Math. Phys. 12, 419-436 (1971); J. Math. Phys. 10, 2191 (1969); ibid. 12, 418 (1971)
-
(1969)
J. Math. Phys.
, vol.10
, pp. 2191
-
-
-
6
-
-
29744455506
-
-
Calogero, F.: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials. J. Math. Phys. 12, 419-436 (1971); J. Math. Phys. 10, 2191 (1969); ibid. 12, 418 (1971)
-
(1971)
J. Math. Phys.
, vol.12
, pp. 418
-
-
-
7
-
-
24844447275
-
Exact results for a quantum many-body problem in one dimension
-
Sutherland, B.: Exact results for a quantum many-body problem in one dimension. Phys. Rev. A4, 2019 (1971); ibid. II, Phys. Rev. A5, 1372 (1972)
-
(1971)
Phys. Rev.
, vol.A4
, pp. 2019
-
-
Sutherland, B.1
-
8
-
-
33646946362
-
-
II
-
Sutherland, B.: Exact results for a quantum many-body problem in one dimension. Phys. Rev. A4, 2019 (1971); ibid. II, Phys. Rev. A5, 1372 (1972)
-
(1972)
Phys. Rev.
, vol.A5
, pp. 1372
-
-
Sutherland, B.1
-
9
-
-
34347230069
-
Three integrable Hamiltonian systems connected with isospectral deformations
-
Moser, J.: Three integrable Hamiltonian systems connected with isospectral deformations. Adv. Math. 16, 197-220 (1975)
-
(1975)
Adv. Math.
, vol.16
, pp. 197-220
-
-
Moser, J.1
-
10
-
-
0011546968
-
Classical integrable finite-dimensional systems related to Lie algebras
-
Olshanetsky, M.A., Perelomov, A.M.: Classical integrable finite-dimensional systems related to Lie algebras. Phys. Rep. 71, 313-400 (1981); Quantum integrable systems related to Lie algebras. ibid. 94, 313-404 (1983)
-
(1981)
Phys. Rep.
, vol.71
, pp. 313-400
-
-
Olshanetsky, M.A.1
Perelomov, A.M.2
-
11
-
-
0007456353
-
Quantum integrable systems related to Lie algebras
-
Olshanetsky, M.A., Perelomov, A.M.: Classical integrable finite-dimensional systems related to Lie algebras. Phys. Rep. 71, 313-400 (1981); Quantum integrable systems related to Lie algebras. ibid. 94, 313-404 (1983)
-
(1983)
Phys. Rep.
, vol.94
, pp. 313-404
-
-
-
12
-
-
70350335480
-
Integrable maps
-
Veselov, A.P.: Integrable maps. Russ. Math. Surv. 46:5, 1-51 (1991)
-
(1991)
Russ. Math. Surv.
, vol.46
, Issue.5
, pp. 1-51
-
-
Veselov, A.P.1
-
13
-
-
0040071665
-
The analogue of the Bäcklund transformation for integrable many-body systems
-
Wojchiechowski, S.: The analogue of the Bäcklund transformation for integrable many-body systems. J. Phys. A: Math. Gen. 15, L653-657 (1982)
-
(1982)
J. Phys. A: Math. Gen.
, vol.15
-
-
Wojchiechowski, S.1
-
14
-
-
14944363471
-
A new class of integrable systems and its relation to solitons
-
Ruijsenaars, S.N.M., Schneider, H.: A new class of integrable systems and its relation to solitons. Ann. Phys. 170, 370-405 (1986)
-
(1986)
Ann. Phys.
, vol.170
, pp. 370-405
-
-
Ruijsenaars, S.N.M.1
Schneider, H.2
-
15
-
-
0001938835
-
Finite-dimensional soliton systems
-
Kupershmidt, B. (ed.), Singapore: World Scientific Publ. Co.
-
Ruijsenaars, S.N.M.: Finite-dimensional soliton systems. In: Integrable and Super-Integrable Systems. Kupershmidt, B. (ed.), Singapore: World Scientific Publ. Co., 1990, pp. 165-206
-
(1990)
Integrable and Super-Integrable Systems
, pp. 165-206
-
-
Ruijsenaars, S.N.M.1
-
16
-
-
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, 191-213 (1987)
-
(1987)
Comm. Math. Phys.
, vol.110
, pp. 191-213
-
-
Ruijsenaars, S.N.M.1
-
17
-
-
0001574684
-
The Lax representation for an integrable class of relativistic dynamical systems
-
Bruschi, M., Calogero, F.: The Lax representation for an integrable class of relativistic dynamical systems. Commun. Math. Phys. 109, 481-492 (1987)
-
(1987)
Commun. Math. Phys.
, vol.109
, pp. 481-492
-
-
Bruschi, M.1
Calogero, F.2
-
19
-
-
0000515270
-
Askey-Wilson polynomials for root systems of type BC
-
Hypergeometric functions on domains of positivity, Jack polynomials, and applications, Richards, D.St.P. (ed.)
-
Koornwinder, T.H.: Askey-Wilson polynomials for root systems of type BC. In: Hypergeometric functions on domains of positivity, Jack polynomials, and applications, Richards, D.St.P. (ed.), Contemp. Math. 138, (1992), pp. 189-204
-
(1992)
Contemp. Math.
, vol.138
, pp. 189-204
-
-
Koornwinder, T.H.1
-
20
-
-
0040071662
-
-
hep-th/9402022
-
Feigin, B., Frenkel, E., Reshetikhin, N.: Gaudin model, Bethe Ansatz and correlation functions at the critical level. hep-th/9402022
-
Gaudin Model, Bethe Ansatz and Correlation Functions at the Critical Level
-
-
Feigin, B.1
Frenkel, E.2
Reshetikhin, N.3
-
22
-
-
0001935486
-
Integration of quantum many-body problems by affine Knizhnik-Zamolodchikov equations
-
Cherednik, I.: Integration of quantum many-body problems by affine Knizhnik-Zamolodchikov equations. Adv. Math. 106, 69-95 (1994)
-
(1994)
Adv. Math.
, vol.106
, pp. 69-95
-
-
Cherednik, I.1
-
23
-
-
0000846019
-
Integrable symplectic maps
-
Bruschi, M., Ragnisco, O., Santini, P.M., Tu, G.-Z.: Integrable symplectic maps. Physica 49D, 273-294 (1991)
-
(1991)
Physica
, vol.49 D
, pp. 273-294
-
-
Bruschi, M.1
Ragnisco, O.2
Santini, P.M.3
Tu, G.-Z.4
-
25
-
-
84941501618
-
Über die elliptischen funktionen zweier art
-
Frobenius, G.: Über die elliptischen Funktionen zweier Art. J. Reine Angew. Math. 93, 53-68 (1882)
-
(1882)
J. Reine Angew. Math.
, vol.93
, pp. 53-68
-
-
Frobenius, G.1
-
26
-
-
0000799353
-
On the poisson structure of the periodic classical XYZ-chain
-
Sklyanin, E.K.: On the poisson structure of the periodic classical XYZ-chain. J. Sov. Math. 46, 1664-1683 (1989) [Zap. Nauch. Sem. 150, 154-180 (1986)]
-
(1989)
J. Sov. Math.
, vol.46
, pp. 1664-1683
-
-
Sklyanin, E.K.1
-
27
-
-
0000799353
-
-
Sklyanin, E.K.: On the poisson structure of the periodic classical XYZ-chain. J. Sov. Math. 46, 1664-1683 (1989) [Zap. Nauch. Sem. 150, 154-180 (1986)]
-
(1986)
Zap. Nauch. Sem.
, vol.150
, pp. 154-180
-
-
-
29
-
-
0038887197
-
Integrable time-discrete systems: Lattices and mappings
-
Quantum Groups. Kulish, P.P. (ed.).
-
Nijhoff, F.W., Papageorgiou, V.G., Capel, H.W.: Integrable time-discrete systems: Lattices and mappings. In: Quantum Groups. Kulish, P.P. (ed.). Springer LNM 1510, 1992, pp. 312-325
-
(1992)
Springer LNM
, vol.1510
, pp. 312-325
-
-
Nijhoff, F.W.1
Papageorgiou, V.G.2
Capel, H.W.3
-
30
-
-
0000964819
-
Growth and integrability in the dynamics of maps
-
Veselov, A.P.: Growth and integrability in the dynamics of maps. Commun. Math. Phys. 145, 181-193 (1992)
-
(1992)
Commun. Math. Phys.
, vol.145
, pp. 181-193
-
-
Veselov, A.P.1
-
31
-
-
84911743709
-
Rational and elliptic solutions of the Korteweg-de Vries equation and a related many-body problem
-
Airault, H., McKean, H., Moser, J.: Rational and elliptic solutions of the Korteweg-de Vries equation and a related many-body problem. Commun. Pure Appl. Math. 30, 95-148 (1977)
-
(1977)
Commun. Pure Appl. Math.
, vol.30
, pp. 95-148
-
-
Airault, H.1
McKean, H.2
Moser, J.3
-
32
-
-
51249183312
-
Pole expansions of nonlinear partial differential equations
-
Chudnovsky, D.V., Chudnovsky, G.V.: Pole expansions of nonlinear partial differential equations. Nuovo Cim. 40B, 339-353 (1977)
-
(1977)
Nuovo Cim.
, vol.40 B
, pp. 339-353
-
-
Chudnovsky, D.V.1
Chudnovsky, G.V.2
-
33
-
-
0001776613
-
Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of N particles on a line
-
Krichever, I.M.: Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of N particles on a line. Funct. Anal. Appl. 12, 59-61 (1978)
-
(1978)
Funct. Anal. Appl.
, vol.12
, pp. 59-61
-
-
Krichever, I.M.1
-
35
-
-
0040071647
-
Bäcklund transformations and three-dimensional lattice equations
-
Nijhoff, F.W., Capel, H.W., Wiersma, G.L., Quispel, G.R.W.: Bäcklund transformations and three-dimensional lattice equations. Phys. Lett. 105A, 267-272 (1984)
-
(1984)
Phys. Lett.
, vol.105 A
, pp. 267-272
-
-
Nijhoff, F.W.1
Capel, H.W.2
Wiersma, G.L.3
Quispel, G.R.W.4
-
36
-
-
0011659820
-
Integrable lattice systems in two and three dimensions
-
Geometric Aspects of the Einstein Equations and Integrable Systems. Martini, R. (ed.)
-
Nijhoff, F.W., Capel, H., Wiersma, G.L.: Integrable lattice systems in two and three dimensions. In: Geometric Aspects of the Einstein Equations and Integrable Systems. Martini, R. (ed.), Springer Lect. Notes Phys. 239, 1985, pp. 263-302
-
(1985)
Springer Lect. Notes Phys.
, vol.239
, pp. 263-302
-
-
Nijhoff, F.W.1
Capel, H.2
Wiersma, G.L.3
-
37
-
-
0000212046
-
The lattice Gel'fand-Dikii hierarchy
-
Nijhoff, F.W., Papageorgiou, V.G., Capel, H.W., Quispel, G.R.W.: The lattice Gel'fand-Dikii hierarchy. Inv. Probl. 8, 597-621 (1992)
-
(1992)
Inv. Probl.
, vol.8
, pp. 597-621
-
-
Nijhoff, F.W.1
Papageorgiou, V.G.2
Capel, H.W.3
Quispel, G.R.W.4
-
38
-
-
0010605073
-
Integrable lattice equations
-
Important Developments in Soliton Theory. Fokas, A.S., Zakharov, V.E. (eds.)
-
Capel, H.W., Nijhoff, F.W.: Integrable lattice equations. In: Important Developments in Soliton Theory. Fokas, A.S., Zakharov, V.E. (eds.), Springer Lect. Notes in Nonlinear Dynamics, 1993, pp. 38-57
-
(1993)
Springer Lect. Notes in Nonlinear Dynamics
, pp. 38-57
-
-
Capel, H.W.1
Nijhoff, F.W.2
-
39
-
-
11744360684
-
Discrete analogue of generalized Toda equation
-
Hirota, R.: Discrete analogue of generalized Toda equation. J. Phys. Soc. Japan 50, 3785-3791 (1981)
-
(1981)
J. Phys. Soc. Japan
, vol.50
, pp. 3785-3791
-
-
Hirota, R.1
-
40
-
-
14944368955
-
Method for generating discrete soliton equations II
-
Date, E., Jimbo, M., Miwa, T.: Method for generating discrete soliton equations II. J. Phys. Soc. Japan 51, 4125-4131 (1982)
-
(1982)
J. Phys. Soc. Japan
, vol.51
, pp. 4125-4131
-
-
Date, E.1
Jimbo, M.2
Miwa, T.3
-
42
-
-
0001127114
-
Quantum inverse scattering method
-
Faddeev, L.D.: Quantum Inverse Scattering Method. Sov. Sci. Revs. C1, 107-160 (1981)
-
(1981)
Sov. Sci. Revs.
, vol.C1
, pp. 107-160
-
-
Faddeev, L.D.1
-
44
-
-
84901244244
-
The quantum method of the inverse problem and the heisenberg XYZ model
-
Takhtajan, L.A., Faddeev, L.D.: The Quantum Method of the Inverse Problem and the Heisenberg XYZ Model. Russ. Math. Surv. 34, no. 5, 11-68 (1979)
-
(1979)
Russ. Math. Surv.
, vol.34
, Issue.5
, pp. 11-68
-
-
Takhtajan, L.A.1
Faddeev, L.D.2
-
45
-
-
0000156419
-
Generalized Bethe Ansatz with the general spin representations of the Sklyanin algebra
-
Takebe, T.: Generalized Bethe Ansatz with the general spin representations of the Sklyanin algebra. J. Phys. A: Math. Gen. 25, 1071-1083 (1992)
-
(1992)
J. Phys. A: Math. Gen.
, vol.25
, pp. 1071-1083
-
-
Takebe, T.1
-
47
-
-
34250143502
-
Some algebraic structures connected with the Yang-Baxter equation
-
Sklyanin, E.K.: Some algebraic structures connected with the Yang-Baxter equation. Funct. Anal. Appl. 16, 263-270 (1983); ibid. II Representations of quantum algebras. Funct. Anal. Appl. 17, 273-284 (1984)
-
(1983)
Funct. Anal. Appl.
, vol.16
, pp. 263-270
-
-
Sklyanin, E.K.1
-
48
-
-
0040694601
-
Representations of quantum algebras
-
II
-
Sklyanin, E.K.: Some algebraic structures connected with the Yang-Baxter equation. Funct. Anal. Appl. 16, 263-270 (1983); ibid. II Representations of quantum algebras. Funct. Anal. Appl. 17, 273-284 (1984)
-
(1984)
Funct. Anal. Appl.
, vol.17
, pp. 273-284
-
-
Sklyanin, E.K.1
-
49
-
-
0012286789
-
Boundary conditions for quantum integrable systems
-
Sklyanin, E.K.: Boundary conditions for quantum integrable systems. J. Phys. A: Math. Gen. 21, 2375-2387 (1988)
-
(1988)
J. Phys. A: Math. Gen.
, vol.21
, pp. 2375-2387
-
-
Sklyanin, E.K.1
|