-
1
-
-
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 1971 419
-
(1971)
J. Math. Phys.
, vol.12
, pp. 419
-
-
Calogero, F.1
-
2
-
-
34347230069
-
Three integrable Hamiltonian systems connected with isospectral deformations
-
Moser J. Three integrable Hamiltonian systems connected with isospectral deformations Adv. Math. 16 1975 197
-
(1975)
Adv. Math.
, vol.16
, pp. 197
-
-
Moser, J.1
-
3
-
-
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. A 4 1971 2019
-
(1971)
Phys. Rev. A
, vol.4
, pp. 2019
-
-
Sutherland, B.1
-
4
-
-
0007456353
-
Quantum integrable systems related to Lie algebras
-
Olshanetsky M.A. Perelomov A.M. Quantum integrable systems related to Lie algebras Phys. Rep. 94 1983 313
-
(1983)
Phys. Rep.
, vol.94
, pp. 313
-
-
Olshanetsky, M.A.1
Perelomov, A.M.2
-
5
-
-
0013118318
-
Algebraic approach to the solution of a one-dimensional model of N interacting particles
-
Perelomov A.M. Algebraic approach to the solution of a one-dimensional model of N interacting particles Theor. Math. Phys. 6 1971 263
-
(1971)
Theor. Math. Phys.
, vol.6
, pp. 263
-
-
Perelomov, A.M.1
-
6
-
-
0000326955
-
Explicit solution of the N-body Calogero problem
-
hep-th/9206049
-
Brink L. Hanson T.H. Vassiliev M.A. Explicit solution of the N-body Calogero problem Phys. Lett. B 286 1992 109 hep-th/9206049
-
(1992)
Phys. Lett. B
, vol.286
, pp. 109
-
-
Brink, L.1
Hanson, T.H.2
Vassiliev, M.A.3
-
7
-
-
21844514119
-
Correspondence between the QISM and the exchange operator formalism
-
Ujino H. Wadati M. Correspondence between the QISM and the exchange operator formalism J. Phys. Soc. Jpn. 64 1995 4121
-
(1995)
J. Phys. Soc. Jpn.
, vol.64
, pp. 4121
-
-
Ujino, H.1
Wadati, M.2
-
8
-
-
21844489622
-
On the quantum Calogero model and the W-algebra
-
Ujino H. Wadati M. On the quantum Calogero model and the W-algebra J. Phys. Soc. Jpn. 63 1994 3583
-
(1994)
J. Phys. Soc. Jpn.
, vol.63
, pp. 3583
-
-
Ujino, H.1
Wadati, M.2
-
9
-
-
0347772982
-
Orthogonal symmetric polynomials associated with the quantum Calogero model
-
Ujino H. Wadati M. Orthogonal symmetric polynomials associated with the quantum Calogero model J. Phys. Soc. Jpn. 64 1995 2703
-
(1995)
J. Phys. Soc. Jpn.
, vol.64
, pp. 2703
-
-
Ujino, H.1
Wadati, M.2
-
10
-
-
84988757496
-
Algebraic construction of the eigenstates for the second conserved operator of the quantum Calogero model
-
Ujino H. Wadati M. Algebraic construction of the eigenstates for the second conserved operator of the quantum Calogero model J. Phys. Soc. Jpn. 65 1996 653
-
(1996)
J. Phys. Soc. Jpn.
, vol.65
, pp. 653
-
-
Ujino, H.1
Wadati, M.2
-
11
-
-
0031496204
-
Orthogonality of the Hi-Jack polynomials associated with the Calogero model
-
Ujino H. Wadati M. Orthogonality of the Hi-Jack polynomials associated with the Calogero model J. Phys. Soc. Jpn. 66 1997 345
-
(1997)
J. Phys. Soc. Jpn.
, vol.66
, pp. 345
-
-
Ujino, H.1
Wadati, M.2
-
12
-
-
0000234320
-
A Rodrigues formula for the Jack polynomials and the Macdonald-Stanley conjecture
-
Lapointe L. Vinet L. A Rodrigues formula for the Jack polynomials and the Macdonald-Stanley conjecture Int. Math. Res. Notices 9 1995 419
-
(1995)
Int. Math. Res. Notices
, vol.9
, pp. 419
-
-
Lapointe, L.1
Vinet, L.2
-
13
-
-
0030533907
-
Exact operator solution of the Calogero-Sutherland model
-
q-alg/9509003
-
Lapointe L. Vinet L. Exact operator solution of the Calogero-Sutherland model Commun. Math. Phys. 178 1996 425 q-alg/9509003
-
(1996)
Commun. Math. Phys.
, vol.178
, pp. 425
-
-
Lapointe, L.1
Vinet, L.2
-
14
-
-
0032391280
-
Algebraic construction of a new symmetric orthogonal basis for the Calogero model
-
Ujino H. Wadati M. Algebraic construction of a new symmetric orthogonal basis for the Calogero model J. Phys. Soc. Jpn. 67 1998 1
-
(1998)
J. Phys. Soc. Jpn.
, vol.67
, pp. 1
-
-
Ujino, H.1
Wadati, M.2
-
15
-
-
0000242644
-
Equivalence of the Calogero-Sutherland model to free harmonic oscillators
-
cond-mat/9710035
-
Gurappa N. P Panigrahi P. Equivalence of the Calogero-Sutherland model to free harmonic oscillators Phys. Rev. B 59 1999 R2490 cond-mat/9710035
-
(1999)
Phys. Rev. B
, vol.59
-
-
Gurappa, N.1
P Panigrahi, P.2
-
16
-
-
0001927820
-
Special functions of matrix and simple arguments in statistics
-
R. Askey (Ed.), : Academic Press
-
James A.T. Special functions of matrix and simple arguments in statistics in: Askey R. (Ed.), Theory and Applications of Special Functions 1975 497 Academic Press
-
(1975)
Theory and Applications of Special Functions
, pp. 497
-
-
James, A.T.1
-
18
-
-
0030375728
-
A simple derivation of multivariable Hermite and Legendre polynomials
-
Sogo K. A simple derivation of multivariable Hermite and Legendre polynomials J. Phys. Soc. Jpn. 65 1996 3097
-
(1996)
J. Phys. Soc. Jpn.
, vol.65
, pp. 3097
-
-
Sogo, K.1
-
19
-
-
0031477231
-
Confluent hypergeometric orthogonal polynomials related to the rational quantum Calogero system with harmonic confinement
-
van Diejen J.F. Confluent hypergeometric orthogonal polynomials related to the rational quantum Calogero system with harmonic confinement Commun. Math. Phys. 188 1997 467
-
(1997)
Commun. Math. Phys.
, vol.188
, pp. 467
-
-
van Diejen, J.F.1
-
20
-
-
0031535563
-
The Calogero-Sutherland model and generalized polynomials
-
solv-int/9608004
-
Baker T.H. Forrester P.J. The Calogero-Sutherland model and generalized polynomials Commun. Math. Phys. 188 1997 1175 solv-int/9608004
-
(1997)
Commun. Math. Phys.
, vol.188
, pp. 1175
-
-
Baker, T.H.1
Forrester, P.J.2
-
21
-
-
0000336545
-
An exactly solvable N particle system in supersymmetric quantum mechanics
-
Freedman D.Z. Mende P.F. An exactly solvable N particle system in supersymmetric quantum mechanics Nucl. Phys. B 344 1990 317
-
(1990)
Nucl. Phys. B
, vol.344
, pp. 317
-
-
Freedman, D.Z.1
Mende, P.F.2
-
22
-
-
0000414695
-
Super-Calogero-Moser-Sutherland systems and free super-oscillators: A mapping
-
hep-th/0007208
-
Ghosh P.K. Super-Calogero-Moser-Sutherland systems and free super-oscillators: a mapping Nucl. Phys. B 595 2001 519 hep-th/0007208
-
(2001)
Nucl. Phys. B
, vol.595
, pp. 519
-
-
Ghosh, P.K.1
-
23
-
-
0000544515
-
Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials
-
hep-th/0103178
-
Desrosiers P. Lapointe L. Mathieu P. Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials Nucl. Phys. B 606 2001 547 hep-th/0103178
-
(2001)
Nucl. Phys. B
, vol.606
, pp. 547
-
-
Desrosiers, P.1
Lapointe, L.2
Mathieu, P.3
-
24
-
-
0037325419
-
Jack superpolynomials, superpartition ordering and determinantal formulas
-
hep-th/0105107
-
Desrosiers P. Lapointe L. Mathieu P. Jack superpolynomials, superpartition ordering and determinantal formulas Commun. Math. Phys. 233 2003 383 hep-th/0105107
-
(2003)
Commun. Math. Phys.
, vol.233
, pp. 383
-
-
Desrosiers, P.1
Lapointe, L.2
Mathieu, P.3
-
26
-
-
0842299538
-
Supersymmetric Calogero-Moser-Sutherland models: Superintegrability structure and eigenfunctions
-
hep-th/0210190 P. Winternitz (Ed.), CRM Series, Springer, in press
-
Desrosiers P. Lapointe L. Mathieu P. Supersymmetric Calogero-Moser-Sutherland models: superintegrability structure and eigenfunctions hep-th/0210190 in: P. Winternitz (Ed.), Proceedings of the Workshop on Superintegrability in Classical and Quantum Systems, in: CRM Series, Springer, in press.
-
Proceedings of the Workshop on Superintegrability in Classical and Quantum Systems
-
-
Desrosiers, P.1
Lapointe, L.2
Mathieu, P.3
-
28
-
-
11944271119
-
Exchange operator formalism for integrable systems of particles
-
hep-th/9202057
-
Polychronakos A.P. Exchange operator formalism for integrable systems of particles Phys. Rev. Lett. 69 1992 703 hep-th/9202057
-
(1992)
Phys. Rev. Lett.
, vol.69
, pp. 703
-
-
Polychronakos, A.P.1
-
29
-
-
0001718938
-
Integrable systems for particles with internal degrees of freedom
-
hep-th/9206046
-
Minahan J.A. Polychronakos A.P. Integrable systems for particles with internal degrees of freedom Phys. Lett. B 302 1993 299 hep-th/9206046
-
(1993)
Phys. Lett. B
, vol.302
, pp. 299
-
-
Minahan, J.A.1
Polychronakos, A.P.2
-
30
-
-
0031578205
-
The Calogero-Sutherland model and polynomials with prescribed symmetry
-
solv-int/9609010
-
Baker T.H. Forrester P.J. The Calogero-Sutherland model and polynomials with prescribed symmetry Nucl. Phys. B 492 1997 682 solv-int/9609010
-
(1997)
Nucl. Phys. B
, vol.492
, pp. 682
-
-
Baker, T.H.1
Forrester, P.J.2
-
31
-
-
0001634909
-
A unification of Kniznhik-Zamolodchikov and Dunkl operators via affine Hecke algebras
-
Cherednik I. A unification of Kniznhik-Zamolodchikov and Dunkl operators via affine Hecke algebras Invent. Math. 106 1991 411
-
(1991)
Invent. Math.
, vol.106
, pp. 411
-
-
Cherednik, I.1
-
32
-
-
21344489887
-
Yang-Baxter equation in long range interacting system
-
hep-th/9301084
-
Bernard D. Gaudin M. Haldane F.D. Pasquier V. Yang-Baxter equation in long range interacting system J. Phys. A 26 1993 5219 hep-th/9301084
-
(1993)
J. Phys. A
, vol.26
, pp. 5219
-
-
Bernard, D.1
Gaudin, M.2
Haldane, F.D.3
Pasquier, V.4
-
33
-
-
84963950040
-
Differential-difference operators associated to refrection groups
-
Dunkl C.F. Differential-difference operators associated to refrection groups Trans. Am. Math. Soc. 311 1989 1
-
(1989)
Trans. Am. Math. Soc.
, vol.311
, pp. 1
-
-
Dunkl, C.F.1
-
34
-
-
0242596787
-
Explicit formulas for the generalized Hermite polynomials in superspace
-
in preparation
-
P. Desrosiers, L. Lapointe, P. Mathieu, Explicit formulas for the generalized Hermite polynomials in superspace, in preparation
-
-
-
Desrosiers, P.1
Lapointe, L.2
Mathieu, P.3
-
35
-
-
0041687149
-
Hidden symmetry of the quantum Calogero-Moser system
-
solv-int/9509001
-
Kuznetsov V.B. Hidden symmetry of the quantum Calogero-Moser system Phys. Lett. A 218 1996 212 solv-int/9509001
-
(1996)
Phys. Lett. A
, vol.218
, pp. 212
-
-
Kuznetsov, V.B.1
|