-
1
-
-
0031518164
-
A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic
-
Calogero, F.: A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic. J.Math. Phys. 38, 5711-5719 (1997).
-
(1997)
J.Math. Phys.
, vol.38
, pp. 5711-5719
-
-
Calogero, F.1
-
2
-
-
33947149281
-
Tricks of the trade: Relating and deriving solvable and integrable dynamical systems
-
To appear, held at the Centre de Recherches Mathématiques de l'Université de Montréal, Canada, in March (Springer, in press)
-
Calogero, F.: Tricks of the trade: relating and deriving solvable and integrable dynamical systems. To appear in the Proceedings of the International Workshop on Calogero-Moser-Sutherland type models, held at the Centre de Recherches Mathématiques de l'Université de Montréal, Canada, in March 1997 (Springer, in press).
-
(1997)
Proceedings of the International Workshop on Calogero-Moser-Sutherland Type Models
-
-
Calogero, F.1
-
3
-
-
51249187156
-
Motion of poles and zeros of nonlinear and linear partial differential equations and related many-body problems
-
Calogero, F.: Motion of poles and zeros of nonlinear and linear partial differential equations and related many-body problems. Nuovo Cimento 43B, 177-241 (1978).
-
(1978)
Nuovo Cimento
, vol.43 B
, pp. 177-241
-
-
Calogero, F.1
-
4
-
-
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
-
5
-
-
0030532332
-
A solvable N-body problem in the plane. I
-
Calogero, F.: A solvable N-body problem in the plane. I. J. Math. Phys. 37, 1735-1759 (1996).
-
(1996)
J. Math. Phys.
, vol.37
, pp. 1735-1759
-
-
Calogero, F.1
-
6
-
-
0032342789
-
Integrable and solvable many-body problems in the plane via complexification
-
Calogero, F.: Integrable and solvable many-body problems in the plane via complexification. J. Math. Phys., 39, 5268-5291 (1998).
-
(1998)
J. Math. Phys.
, vol.39
, pp. 5268-5291
-
-
Calogero, F.1
-
7
-
-
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).
-
(1981)
Phys. Rep.
, vol.71
, pp. 313-400
-
-
Olshanetsky, M.A.1
Perelomov, A.M.2
-
8
-
-
14944363471
-
A new class of integrable systems and its relation to solitons
-
See, for instance: Ruijsenaars, S.N.M., Schneider, H.: A new class of integrable systems and its relation to solitons. Ann. Phys. (NY) 170, 370-405 (1986); Ruijsenaars, S.N.M.: Systems of Calogero-Moser type. Proceedings of the 1994 Banff Summer School on Particles and Fields, CRM Proceedings and Lecture Notes (in press), and the papers referred to there; van Diejen, J.F.: Families of commuting difference operators. PhD Thesis, University of Amsterdam, 28 June 1994.
-
(1986)
Ann. Phys. (NY)
, vol.170
, pp. 370-405
-
-
Ruijsenaars, S.N.M.1
Schneider, H.2
-
9
-
-
14944363471
-
Systems of Calogero-Moser type
-
(in press), and the papers referred to there
-
See, for instance: Ruijsenaars, S.N.M., Schneider, H.: A new class of integrable systems and its relation to solitons. Ann. Phys. (NY) 170, 370-405 (1986); Ruijsenaars, S.N.M.: Systems of Calogero-Moser type. Proceedings of the 1994 Banff Summer School on Particles and Fields, CRM Proceedings and Lecture Notes (in press), and the papers referred to there; van Diejen, J.F.: Families of commuting difference operators. PhD Thesis, University of Amsterdam, 28 June 1994.
-
Proceedings of the 1994 Banff Summer School on Particles and Fields, CRM Proceedings and Lecture Notes
-
-
Ruijsenaars, S.N.M.1
-
10
-
-
14944363471
-
-
PhD Thesis, University of Amsterdam, 28 June
-
See, for instance: Ruijsenaars, S.N.M., Schneider, H.: A new class of integrable systems and its relation to solitons. Ann. Phys. (NY) 170, 370-405 (1986); Ruijsenaars, S.N.M.: Systems of Calogero-Moser type. Proceedings of the 1994 Banff Summer School on Particles and Fields, CRM Proceedings and Lecture Notes (in press), and the papers referred to there; van Diejen, J.F.: Families of commuting difference operators. PhD Thesis, University of Amsterdam, 28 June 1994.
-
(1994)
Families of Commuting Difference Operators
-
-
Van Diejen, J.F.1
-
11
-
-
0345860250
-
Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
-
Krichever, I.M.: Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Funct. Anal. Appl. 14, 282-289 (1981).
-
(1981)
Funct. Anal. Appl.
, vol.14
, pp. 282-289
-
-
Krichever, I.M.1
-
12
-
-
84956259690
-
Spin generalizations of the RS model, nonabelian 2D Toda chain and representations of Sklyanin algebra
-
Krichever, I.M., Zabrodin, A.V.: Spin generalizations of the RS model, nonabelian 2D Toda chain and representations of Sklyanin algebra. Russ. Math. Surv. 50, 1101-1150 (1995).
-
(1995)
Russ. Math. Surv.
, vol.50
, pp. 1101-1150
-
-
Krichever, I.M.1
Zabrodin, A.V.2
-
13
-
-
13644277471
-
Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
-
Gorsky, A., Nekrasov, N.: Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory. Nuclear Phys. B414, 213-238 (1994); Relativistic Calogero-Moser model as gauged WZW theory. Nuclear Phys. B436, 582-608 (1995).
-
(1994)
Nuclear Phys.
, vol.B414
, pp. 213-238
-
-
Gorsky, A.1
Nekrasov, N.2
-
14
-
-
0039493494
-
Relativistic Calogero-Moser model as gauged WZW theory
-
Gorsky, A., Nekrasov, N.: Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory. Nuclear Phys. B414, 213-238 (1994); Relativistic Calogero-Moser model as gauged WZW theory. Nuclear Phys. B436, 582-608 (1995).
-
(1995)
Nuclear Phys.
, vol.B436
, pp. 582-608
-
-
-
15
-
-
0039766267
-
-
hep-th/9607170
-
Arutyunov, G.E., Frolov, S.A., Medvedev, P.B.: Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the affine Heisenberg double, hep-th/9607170 (1996); Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group, hep-th/9608013 (1996).
-
(1996)
Elliptic Ruijsenaars-Schneider Model via the Poisson Reduction of the Affine Heisenberg Double
-
-
Arutyunov, G.E.1
Frolov, S.A.2
Medvedev, P.B.3
-
17
-
-
84980148563
-
Hamiltonian group actions and dynamical systems of Calogero type
-
Kazhdan, D., Kostant, B., Sternberg, S.: Hamiltonian group actions and dynamical systems of Calogero type. Commun. Pure Appl. Math. 31, 481-507 (1978).
-
(1978)
Commun. Pure Appl. Math.
, vol.31
, pp. 481-507
-
-
Kazhdan, D.1
Kostant, B.2
Sternberg, S.3
-
18
-
-
0001849572
-
Canonical partition functions of Hamiltonian systems and the stationary phase formula
-
Françoise, J.-P.: Canonical partition functions of Hamiltonian systems and the stationary phase formula. Commun. Math. Phys. 117, 37-47 (1988).
-
(1988)
Commun. Math. Phys.
, vol.117
, pp. 37-47
-
-
Françoise, J.-P.1
-
19
-
-
0008025629
-
Matrix differential equations and Hamiltonian systems of quartic type
-
Françoise, J.-P., Ragnisco, O.: Matrix differential equations and Hamiltonian systems of quartic type. Ann. Inst. H. Poincaré 49, 369-375 (1989).
-
(1989)
Ann. Inst. H. Poincaré
, vol.49
, pp. 369-375
-
-
Françoise, J.-P.1
Ragnisco, O.2
-
20
-
-
0040050919
-
The Ruijsenaars-Schneider model
-
Braden, H.W., Sasaki, R.: The Ruijsenaars-Schneider model. Prog. Theor. Phys. 97, 1001-1015 (1997).
-
(1997)
Prog. Theor. Phys.
, vol.97
, pp. 1001-1015
-
-
Braden, H.W.1
Sasaki, R.2
-
21
-
-
84874962985
-
Convexity and commuting Hamiltonians
-
Atiyah, M.: Convexity and commuting Hamiltonians. Bull. London Math. Soc. 14, 1-15 (1982); Colin de Verdière, Y.: Spectre joint d'opérateurs pseudodifférentiels qui commutent. II - Le cas intégrable. Math. Zeit. 171, 169-182 (1980); Guillemin, V., Sternberg, S.: Symplectic Techniques in Physics. Cambridge University Press, Cambridge (1984).
-
(1982)
Bull. London Math. Soc.
, vol.14
, pp. 1-15
-
-
Atiyah, M.1
-
22
-
-
84874962985
-
Spectre joint d'opérateurs pseudodifférentiels qui commutent. II - Le cas intégrable
-
Atiyah, M.: Convexity and commuting Hamiltonians. Bull. London Math. Soc. 14, 1-15 (1982); Colin de Verdière, Y.: Spectre joint d'opérateurs pseudodifférentiels qui commutent. II - Le cas intégrable. Math. Zeit. 171, 169-182 (1980); Guillemin, V., Sternberg, S.: Symplectic Techniques in Physics. Cambridge University Press, Cambridge (1984).
-
(1980)
Math. Zeit.
, vol.171
, pp. 169-182
-
-
Colin De Verdière, Y.1
-
23
-
-
84874962985
-
-
Cambridge University Press, Cambridge
-
Atiyah, M.: Convexity and commuting Hamiltonians. Bull. London Math. Soc. 14, 1-15 (1982); Colin de Verdière, Y.: Spectre joint d'opérateurs pseudodifférentiels qui commutent. II - Le cas intégrable. Math. Zeit. 171, 169-182 (1980); Guillemin, V., Sternberg, S.: Symplectic Techniques in Physics. Cambridge University Press, Cambridge (1984).
-
(1984)
Symplectic Techniques in Physics
-
-
Guillemin, V.1
Sternberg, S.2
-
24
-
-
85013288774
-
Quantum dynamical R-matrices and quantum Frobenius group
-
press
-
Arutyunov, G.E., Frolov, S.A.: Quantum dynamical R-matrices and quantum Frobenius group. Commun. Math. Phys. (in press); On Hamiltonian structure of the spin RS model. J. Phys. A: Math. Gen. (submitted to).
-
Commun. Math. Phys.
-
-
Arutyunov, G.E.1
Frolov, S.A.2
-
25
-
-
85013237393
-
On Hamiltonian structure of the spin RS model
-
submitted to
-
Arutyunov, G.E., Frolov, S.A.: Quantum dynamical R-matrices and quantum Frobenius group. Commun. Math. Phys. (in press); On Hamiltonian structure of the spin RS model. J. Phys. A: Math. Gen. (submitted to).
-
J. Phys. A: Math. Gen.
-
-
-
26
-
-
0038869438
-
R-matrix quantization of the elliptic RS model
-
Arutyunov, G.E., Chekhov, L.O., Frolov, S.A.: R-matrix quantization of the elliptic RS model. Theor. Math. Phys. 111, 182-217 (1997).
-
(1997)
Theor. Math. Phys.
, vol.111
, pp. 182-217
-
-
Arutyunov, G.E.1
Chekhov, L.O.2
Frolov, S.A.3
-
27
-
-
0010118968
-
The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
-
Avan, J., Babelon, O., Billey, E.: The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems. Commun. Math. Phys. 178, 281-299 (1996).
-
(1996)
Commun. Math. Phys.
, vol.178
, pp. 281-299
-
-
Avan, J.1
Babelon, O.2
Billey, E.3
-
28
-
-
0000884682
-
Conformal field theory and integrable systems associated with elliptic curves
-
Zürich
-
Felder, G.: Conformal field theory and integrable systems associated with elliptic curves. Proceedings of the International Congress of Mathematicians, 1247-1255, Zürich (1994).
-
(1994)
Proceedings of the International Congress of Mathematicians
, pp. 1247-1255
-
-
Felder, G.1
-
29
-
-
21344454131
-
Dynamical R-matrix for the elliptic Ruijsenaars-Schneider model
-
Nijhoff, F.W., Kuznetsov, V.B., Sklyanin, E.K., Ragnisco, O.: Dynamical R-matrix for the elliptic Ruijsenaars-Schneider model. J. Phys. A: Math. Gen. 29, L333-L340 (1996).
-
(1996)
J. Phys. A: Math. Gen.
, vol.29
, pp. L333-L340
-
-
Nijhoff, F.W.1
Kuznetsov, V.B.2
Sklyanin, E.K.3
Ragnisco, O.4
-
30
-
-
0039054087
-
Why is the Ruijsenaars-Schneider hierarchy governed by the same R-matrix as the Calogero-Moser one?
-
Suris, Yu.B.: Why is the Ruijsenaars-Schneider hierarchy governed by the same R-matrix as the Calogero-Moser one? Phys. Rev. A225, 253-261 (1997).
-
(1997)
Phys. Rev.
, vol.A225
, pp. 253-261
-
-
Suris, Y.B.1
|