-
1
-
-
27644471908
-
Vibration of a chain with nonlinear interaction
-
Toda M 1967 Vibration of a chain with nonlinear interaction J. Phys. Soc. Japan 12 431-6
-
(1967)
J. Phys. Soc. Japan
, vol.12
, pp. 431-436
-
-
Toda, M.1
-
2
-
-
29744455506
-
Solution of the one-dimensional N-body problem with quadratic and/or inversely quadratic pair potentials
-
Calogero F 1971 Solution of the one-dimensional N-body problem with quadratic and/or inversely quadratic pair potentials J. Math. Phys. 12 419-36
-
(1971)
J. Math. Phys.
, vol.12
, pp. 419-436
-
-
Calogero, F.1
-
3
-
-
33646946362
-
Exact results for a quantum many-body problem in one-dimension: II
-
Sutherland B 1972 Exact results for a quantum many-body problem in one-dimension: II Phys. Rev. A 5 1372-6
-
(1972)
Phys. Rev. A
, vol.5
, pp. 1372-1376
-
-
Sutherland, B.1
-
4
-
-
0000876641
-
The solution to a generalized Toda lattice and representation theory
-
Kostant B 1979 The solution to a generalized Toda lattice and representation theory Adv. Math. 34 195-338
-
(1979)
Adv. Math.
, vol.34
, pp. 195-338
-
-
Kostant, B.1
-
5
-
-
0011546968
-
Classical integrable finite-dimensional systems related to Lie algebras
-
Olshanetsky M A and Perelomov AM 1981 Classical integrable finite-dimensional systems related to Lie algebras Phys. Rep. C 71 314-400
-
(1981)
Phys. Rep. C
, vol.71
, pp. 314-400
-
-
Olshanetsky, M.A.1
Perelomov, A.M.2
-
6
-
-
34347230069
-
Three integrable Hamiltonian systems connected with isospectral deformations
-
2 ax Lett. Nuovo Cimenta 13 383-7 Calogero F 1975 Exactly solvable one-dimensional many body problems Lett. Nuovo Cimenta 13 411-6
-
(1975)
Adv. Math.
, vol.16
, pp. 197-220
-
-
Moser, J.1
-
9
-
-
51249187548
-
Exactly solvable one-dimensional many body problems
-
2 ax Lett. Nuovo Cimenta 13 383-7 Calogero F 1975 Exactly solvable one-dimensional many body problems Lett. Nuovo Cimenta 13 411-6
-
(1975)
Lett. Nuovo Cimenta
, vol.13
, pp. 411-416
-
-
Calogero, F.1
-
10
-
-
0002587995
-
Completely integrable Hamiltonian systems connected with semisimple Lie algebras
-
Olshanetsky M A and Perelomov A M 1976 Completely integrable Hamiltonian systems connected with semisimple Lie algebras Invent. Math. 37 93-108
-
(1976)
Invent. Math.
, vol.37
, pp. 93-108
-
-
Olshanetsky, M.A.1
Perelomov, A.M.2
-
11
-
-
0032547607
-
Calogero-Moser Lax pairs with spectral parameter for general Lie algebras
-
Preprint hep-th/9804124
-
D'Hoker E and Phong D H 1998 Calogero-Moser Lax pairs with spectral parameter for general Lie algebras Nucl. Phys. B 530 537-610 (Preprint hep-th/9804124) Bordner A J, Corrigan E and Sasaki R 1998 Calogero-Moser models: I. A new formulation Prog. Theor. Phys. 100 1107-29 (Preprint hep-th/9805106) Bordner A J, Corrigan E and Sasaki R 1999 Generalized Calogero-Moser models and universal Lax pair operators Prog. Theor. Phys. 102 499-529 (Preprint hep-th/9905011)
-
(1998)
Nucl. Phys. B
, vol.530
, pp. 537-610
-
-
D'Hoker, E.1
Phong, D.H.2
-
12
-
-
0000181470
-
Calogero-Moser models: I. A new formulation
-
Preprint hep-th/9805106
-
D'Hoker E and Phong D H 1998 Calogero-Moser Lax pairs with spectral parameter for general Lie algebras Nucl. Phys. B 530 537-610 (Preprint hep-th/9804124) Bordner A J, Corrigan E and Sasaki R 1998 Calogero-Moser models: I. A new formulation Prog. Theor. Phys. 100 1107-29 (Preprint hep-th/9805106) Bordner A J, Corrigan E and Sasaki R 1999 Generalized Calogero-Moser models and universal Lax pair operators Prog. Theor. Phys. 102 499-529 (Preprint hep-th/9905011)
-
(1998)
Prog. Theor. Phys.
, vol.100
, pp. 1107-1129
-
-
Bordner, A.J.1
Corrigan, E.2
Sasaki, R.3
-
13
-
-
0033197082
-
Generalized Calogero-Moser models and universal Lax pair operators
-
Preprint hep-th/9905011
-
D'Hoker E and Phong D H 1998 Calogero-Moser Lax pairs with spectral parameter for general Lie algebras Nucl. Phys. B 530 537-610 (Preprint hep-th/9804124) Bordner A J, Corrigan E and Sasaki R 1998 Calogero-Moser models: I. A new formulation Prog. Theor. Phys. 100 1107-29 (Preprint hep-th/9805106) Bordner A J, Corrigan E and Sasaki R 1999 Generalized Calogero-Moser models and universal Lax pair operators Prog. Theor. Phys. 102 499-529 (Preprint hep-th/9905011)
-
(1999)
Prog. Theor. Phys.
, vol.102
, pp. 499-529
-
-
Bordner, A.J.1
Corrigan, E.2
Sasaki, R.3
-
14
-
-
0034146062
-
Calogero-Moser models: V. Supersymmetry and quantum Lax pair
-
Preprint hep-th/9910033
-
Bordner A J, Manton N S and Sasaki R 2000 Calogero-Moser models: V. Supersymmetry and quantum Lax pair Prog. Theor. Phys. 103 463-87 (Preprint hep-th/9910033) Khastgir S P, Pocklington A J and Sasaki R 2000 Quantum Calogero-Moser models: integrability for all root systems J. Phys. A: Math. Gen. 33 9033-64 (Preprint hep-th/0005277)
-
(2000)
Prog. Theor. Phys.
, vol.103
, pp. 463-487
-
-
Bordner, A.J.1
Manton, N.S.2
Sasaki, R.3
-
15
-
-
0034670437
-
Quantum Calogero-Moser models: Integrability for all root systems
-
Preprint hep-th/0005277
-
Bordner A J, Manton N S and Sasaki R 2000 Calogero-Moser models: V. Supersymmetry and quantum Lax pair Prog. Theor. Phys. 103 463-87 (Preprint hep-th/9910033) Khastgir S P, Pocklington A J and Sasaki R 2000 Quantum Calogero-Moser models: integrability for all root systems J. Phys. A: Math. Gen. 33 9033-64 (Preprint hep-th/0005277)
-
(2000)
J. Phys. A: Math. Gen.
, vol.33
, pp. 9033-9064
-
-
Khastgir, S.P.1
Pocklington, A.J.2
Sasaki, R.3
-
16
-
-
0008982194
-
The finite Toda lattices
-
Inozemtsev V I 1989 The finite Toda lattices Commun. Math. Phys. 121 628-38
-
(1989)
Commun. Math. Phys.
, vol.121
, pp. 628-638
-
-
Inozemtsev, V.I.1
-
17
-
-
0032547608
-
Calogero-Moser and Toda systems for twisted and untwisted affine Lie algebras
-
Preprint hep-th/9804125
-
D'Hoker E and Phong D H 1998 Calogero-Moser and Toda systems for twisted and untwisted affine Lie algebras Nucl. Phys. B 530 611-40 (Preprint hep-th/9804125)
-
(1998)
Nucl. Phys. B
, vol.530
, pp. 611-640
-
-
D'Hoker, E.1
Phong, D.H.2
-
18
-
-
0033234857
-
Calogero-Moser Models: IV. Limits to Toda theory
-
Preprint hep-th/9907102
-
Khastgir S P, Sasaki R and Takasaki K 1999 Calogero-Moser Models: IV. Limits to Toda theory Prog. Theor. Phys. 102 749-76 (Preprint hep-th/9907102)
-
(1999)
Prog. Theor. Phys.
, vol.102
, pp. 749-776
-
-
Khastgir, S.P.1
Sasaki, R.2
Takasaki, K.3
-
19
-
-
0002916778
-
An exactly solvable many-body problem in one dimension
-
Jain S R and Khare A 1999 An exactly solvable many-body problem in one dimension Phys. Lett. A 262 35-9 Jain S R, Grémaud B and Khare A 2002 Quantum modes on chaotic motion: analytically exact results Phys. Rev. E 66 016216
-
(1999)
Phys. Lett. A
, vol.262
, pp. 35-39
-
-
Jain, S.R.1
Khare, A.2
-
20
-
-
41349118276
-
Quantum modes on chaotic motion: Analytically exact results
-
Jain S R and Khare A 1999 An exactly solvable many-body problem in one dimension Phys. Lett. A 262 35-9 Jain S R, Grémaud B and Khare A 2002 Quantum modes on chaotic motion: analytically exact results Phys. Rev. E 66 016216
-
(2002)
Phys. Rev. E
, vol.66
, pp. 016216
-
-
Jain, S.R.1
Grémaud, B.2
Khare, A.3
-
21
-
-
0034719626
-
Off-diagonal long-range order in one-dimensional many-body problem
-
Auberson G, Jain S R and Khare A 2000 Off-diagonal long-range order in one-dimensional many-body problem Phys. Lett. A 267 293-5 Auberson G, Jain S R and Khare A 2001 A class of W-body problems with nearest- and next-to-nearest neighbour interactions J. Phys. A: Math. Gen. 34 695-724 (Preprint cond-mat/0004012)
-
(2000)
Phys. Lett. A
, vol.267
, pp. 293-295
-
-
Auberson, G.1
Jain, S.R.2
Khare, A.3
-
22
-
-
0035793514
-
A class of W-body problems with nearest- and next-to-nearest neighbour interactions
-
Preprint cond-mat/0004012
-
Auberson G, Jain S R and Khare A 2000 Off-diagonal long-range order in one-dimensional many-body problem Phys. Lett. A 267 293-5 Auberson G, Jain S R and Khare A 2001 A class of W-body problems with nearest- and next-to-nearest neighbour interactions J. Phys. A: Math. Gen. 34 695-724 (Preprint cond-mat/0004012)
-
(2001)
J. Phys. A: Math. Gen.
, vol.34
, pp. 695-724
-
-
Auberson, G.1
Jain, S.R.2
Khare, A.3
-
24
-
-
0037162892
-
Quantum vs classical integrability in Calogero-Moser systems
-
Preprint hep-th/0204039
-
Corrigan E and Sasaki R 2002 Quantum vs classical integrability in Calogero-Moser systems J. Phys. A: Math. Gen. 35 7017-62 (Preprint hep-th/0204039) Odake S and Sasaki R 2002 Polynomials associated with equilibrium positions in Calogero-Moser systems J. Phys. A: Math. Gen. 35 8283-14 (Preprint hep-th/0206172) Ragnisco O and Sasaki R 2003 Quantum vs classical integrability in Ruijsenaars-Schneider systems J. Phys. A: Math. Gen. accepted
-
(2002)
J. Phys. A: Math. Gen.
, vol.35
, pp. 7017-7062
-
-
Corrigan, E.1
Sasaki, R.2
-
25
-
-
0037020213
-
Polynomials associated with equilibrium positions in Calogero-Moser systems
-
Preprint hep-th/0206172
-
Corrigan E and Sasaki R 2002 Quantum vs classical integrability in Calogero-Moser systems J. Phys. A: Math. Gen. 35 7017-62 (Preprint hep-th/0204039) Odake S and Sasaki R 2002 Polynomials associated with equilibrium positions in Calogero-Moser systems J. Phys. A: Math. Gen. 35 8283-14 (Preprint hep-th/0206172) Ragnisco O and Sasaki R 2003 Quantum vs classical integrability in Ruijsenaars-Schneider systems J. Phys. A: Math. Gen. accepted
-
(2002)
J. Phys. A: Math. Gen.
, vol.35
, pp. 8283-8314
-
-
Odake, S.1
Sasaki, R.2
-
26
-
-
0037162892
-
Quantum vs classical integrability in Ruijsenaars-Schneider systems
-
accepted
-
Corrigan E and Sasaki R 2002 Quantum vs classical integrability in Calogero-Moser systems J. Phys. A: Math. Gen. 35 7017-62 (Preprint hep-th/0204039) Odake S and Sasaki R 2002 Polynomials associated with equilibrium positions in Calogero-Moser systems J. Phys. A: Math. Gen. 35 8283-14 (Preprint hep-th/0206172) Ragnisco O and Sasaki R 2003 Quantum vs classical integrability in Ruijsenaars-Schneider systems J. Phys. A: Math. Gen. accepted
-
(2003)
J. Phys. A: Math. Gen.
-
-
Ragnisco, O.1
Sasaki, R.2
-
28
-
-
0009491906
-
Quasi-exactly-soluble problems and sl(2, R) algebra
-
Turbiner A V 1988 Quasi-exactly-soluble problems and sl(2, R) algebra Commun. Math. Phys. 118 467-74
-
(1988)
Commun. Math. Phys.
, vol.118
, pp. 467-474
-
-
Turbiner, A.V.1
-
30
-
-
0039895876
-
Quantum Inozemtsev model, quasi-exact solvability and N-fold supersymmetry
-
Preprint hep-th/0109008
-
Sasaki R and Takasaki K 2001 Quantum Inozemtsev model, quasi-exact solvability and N-fold supersymmetry J. Phys. A: Math. Gen. 34 9533-53 (Preprint hep-th/0109008) Sasaki R and Takasaki K 2001 J. Phys. A: Math. Gen. A 34 10335 (erratum)
-
(2001)
J. Phys. A: Math. Gen.
, vol.34
, pp. 9533-9553
-
-
Sasaki, R.1
Takasaki, K.2
-
31
-
-
0039895876
-
-
erratum
-
Sasaki R and Takasaki K 2001 Quantum Inozemtsev model, quasi-exact solvability and N-fold supersymmetry J. Phys. A: Math. Gen. 34 9533-53 (Preprint hep-th/0109008) Sasaki R and Takasaki K 2001 J. Phys. A: Math. Gen. A 34 10335 (erratum)
-
(2001)
J. Phys. A: Math. Gen. A
, vol.34
, pp. 10335
-
-
Sasaki, R.1
Takasaki, K.2
-
32
-
-
0346201200
-
Quantum vs classical mechanics: Role of elementary excitations
-
Preprint quant-ph/0308040
-
Loris I and Sasaki R 2003 Quantum vs classical mechanics: role of elementary excitations Kyoto Preprint quant-ph/0308040 Loris I and Sasaki R 2003 Quantum and classical eigenfunctions in Calogero and Sutherland systems J. Phys. A: Math. Gen. accepted
-
(2003)
Kyoto
-
-
Loris, I.1
Sasaki, R.2
-
33
-
-
1142295004
-
Quantum and classical eigenfunctions in Calogero and Sutherland systems
-
accepted
-
Loris I and Sasaki R 2003 Quantum vs classical mechanics: role of elementary excitations Kyoto Preprint quant-ph/0308040 Loris I and Sasaki R 2003 Quantum and classical eigenfunctions in Calogero and Sutherland systems J. Phys. A: Math. Gen. accepted
-
(2003)
J. Phys. A: Math. Gen.
-
-
Loris, I.1
Sasaki, R.2
-
34
-
-
51249187006
-
On the zeros of the classical polynomials
-
Calogero F 1977 On the zeros of the classical polynomials Lett. Nuovo Cimenta 19 505-7 Calogero F 1977 Equilibrium configuration of one-dimensional many-body problems with quadratic and inverse quadratic pair potentials Lett. Nuovo Cimento 22 251-3 Calogero F 1979 Eigenvectors of a matrix related to the zeros of Hermite polynomials Lett. Nuovo Cimento 24 601-4 Calogero F 1981 Matrices, differential operators and polynomials J. Math. Phys. 22 919-34
-
(1977)
Lett. Nuovo Cimenta
, vol.19
, pp. 505-507
-
-
Calogero, F.1
-
35
-
-
51649167635
-
Equilibrium configuration of one-dimensional many-body problems with quadratic and inverse quadratic pair potentials
-
Calogero F 1977 On the zeros of the classical polynomials Lett. Nuovo Cimenta 19 505-7 Calogero F 1977 Equilibrium configuration of one-dimensional many-body problems with quadratic and inverse quadratic pair potentials Lett. Nuovo Cimento 22 251-3 Calogero F 1979 Eigenvectors of a matrix related to the zeros of Hermite polynomials Lett. Nuovo Cimento 24 601-4 Calogero F 1981 Matrices, differential operators and polynomials J. Math. Phys. 22 919-34
-
(1977)
Lett. Nuovo Cimento
, vol.22
, pp. 251-253
-
-
Calogero, F.1
-
36
-
-
51249179797
-
Eigenvectors of a matrix related to the zeros of Hermite polynomials
-
Calogero F 1977 On the zeros of the classical polynomials Lett. Nuovo Cimenta 19 505-7 Calogero F 1977 Equilibrium configuration of one-dimensional many-body problems with quadratic and inverse quadratic pair potentials Lett. Nuovo Cimento 22 251-3 Calogero F 1979 Eigenvectors of a matrix related to the zeros of Hermite polynomials Lett. Nuovo Cimento 24 601-4 Calogero F 1981 Matrices, differential operators and polynomials J. Math. Phys. 22 919-34
-
(1979)
Lett. Nuovo Cimento
, vol.24
, pp. 601-604
-
-
Calogero, F.1
-
37
-
-
36749112501
-
Matrices, differential operators and polynomials
-
Calogero F 1977 On the zeros of the classical polynomials Lett. Nuovo Cimenta 19 505-7 Calogero F 1977 Equilibrium configuration of one-dimensional many-body problems with quadratic and inverse quadratic pair potentials Lett. Nuovo Cimento 22 251-3 Calogero F 1979 Eigenvectors of a matrix related to the zeros of Hermite polynomials Lett. Nuovo Cimento 24 601-4 Calogero F 1981 Matrices, differential operators and polynomials J. Math. Phys. 22 919-34
-
(1981)
J. Math. Phys.
, vol.22
, pp. 919-934
-
-
Calogero, F.1
-
38
-
-
36749109988
-
Exact results in quantum many-body systems of interacting particles in many dimensions with SU(1, 1) as the dynamical group
-
Gambardella P J 1975 Exact results in quantum many-body systems of interacting particles in many dimensions with SU(1, 1) as the dynamical group J. Math. Phys. 16 1172-87
-
(1975)
J. Math. Phys.
, vol.16
, pp. 1172-1187
-
-
Gambardella, P.J.1
|