Exact solutions of a new elliptic Calogero-Sutherland model
| dc.contributor.author | Gómez-Ullate Otaiza, David | |
| dc.contributor.author | González López, Artemio | |
| dc.contributor.author | Rodríguez González, Miguel Ángel | |
| dc.date.accessioned | 2023-06-20T20:07:50Z | |
| dc.date.available | 2023-06-20T20:07:50Z | |
| dc.date.issued | 2001-05-28 | |
| dc.description | ©2001 Elsevier Science B.V. All rights reserved. The authors gratefully acknowledge the partial financial support of the DGES under grant PB98-0821. They would also like to thank A.M. Perelomov and O. Ragnisco for several useful conversations. | |
| dc.description.abstract | A quantum Hamiltonian describing N particles on a line interacting pairwise via an elliptic function potential in the presence of an external field is introduced. For a discrete set of values of the strength of the external potential, it is shown that a finite number of eigenfunctions and eigenvalues of the model can be exactly. computed in an algebraic way. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGES | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/31103 | |
| dc.identifier.doi | 10.1016/S0370-2693(01)00573-1 | |
| dc.identifier.issn | 0370-2693 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1016/S0370-2693(01)00573-1 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59631 | |
| dc.issue.number | 1 | |
| dc.journal.title | Physics letters B | |
| dc.language.iso | eng | |
| dc.page.final | 118 | |
| dc.page.initial | 112 | |
| dc.publisher | Elsevier Science BV | |
| dc.relation.projectID | PB98-0821 | |
| dc.rights | Atribución 3.0 España | |
| dc.rights.accessRights | open access | |
| dc.rights.uri | https://creativecommons.org/licenses/by/3.0/es/ | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Many-body problems | |
| dc.subject.keyword | Fractional statistics | |
| dc.subject.keyword | Integrable systems | |
| dc.subject.keyword | One-dimension | |
| dc.subject.keyword | Ground-state | |
| dc.subject.keyword | algebras | |
| dc.subject.keyword | Operator | |
| dc.subject.keyword | Chain | |
| dc.subject.keyword | Field | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Exact solutions of a new elliptic Calogero-Sutherland model | |
| dc.type | journal article | |
| dc.volume.number | 511 | |
| dcterms.references | [1] F.D.M. Haldane, Phys. Rev. Lett. 60 (1988) 635; B.S. Shastry, Phys. Rev. Lett. 60 (1988) 639; A.P. Polychronakos, Phys. Rev. Lett. 70 (1993) 2329. [2] B.D. Simons, P.A. Lee, B.L. Altshuler, Phys. Rev. Lett. 70 (1993) 4122; B.D. Simons, P.A. Lee, B.L. Altshuler, Phys. Rev. Lett. 72 (1994) 64. [3] A. Polychronakos, Nucl. Phys. B 324 (1989) 597; Z.N.C. Ha, Phys. Rev. Lett. 73 (1994) 1574; Z.N.C. Ha, Nucl. Phys. B. 435 [FS] (1995) 604; S.B. Isakov, G. Lozano, S. Ouvry, Nucl. Phys. B 552 (1999) 677. [4] J.A. Minahan, A.P. Polychronakos, Phys. Lett. B 326 (1994) 288; A. Gorskii, N. Nekrasov, Nucl. Phys. B 414 (1994) 213; E. D’Hoker, D.H. Phong, Nucl. Phys. B 513 (1998) 405. [5] H. Azuma, S. Iso, Phys. Lett. B 331 (1994) 107; S. Iso, S.J. Rey, Phys. Lett. B 352 (1995) 111. [6] A.P. Polychronakos, Phys. Rev. Lett. 74 (1995) 5153. [7] G.W. Gibbons, P.K. Townsend, Phys. Lett. B 454 (1999) 187. [8] F. Calogero, J. Math. Phys. 12 (1971) 419. [9] B. Sutherland, Phys. Rev. A 4 (1971) 2019. [10] F. Calogero, Lett. Nuovo Cimento 13 (1975) 411; A.M. Perelomov, Lett. Math. Phys. 1 (1977) 531. [11] I.M. Krichever, Funct. Anal. Appl. 14 (1980) 282. [12] M.A. Olshanetsky, A.M. Perelomov, Phys. Rep. 94 (1983) 313. [13] R. Stanley, Adv. Math. 77 (1988) 76; L. Lapointe, L. Vinet, Commun. Math. Phys. 178 (1996) 425. [14] J. Dittrich, V.I. Inozemtsev, J. Phys. A: Math. Gen. 26 (1993) L753; F. Gavrilov, A.M. Perelomov, J. Math. Phys. 40 (1999) 6339. [15] E. Langmann, math-ph/0007036, v2; E. Langmann, math-ph/0102005. [16] W. Rühl, A.V. Turbiner, Mod. Phys. Lett. A 10 (1995) 2213. [17] L. Brink, A. Turbiner, N. Wyllard, J. Math. Phys. 39 (1998) 1285. [18] A. Minzoni, M. Rosenbaum, A. Turbiner, Mod. Phys. Lett. A 11 (1996) 1977. [19] Y. Brihaye, P. Kosinski, Mod. Phys. Lett. A 14 (1999) 2579. [20] A.V. Turbiner, A.G. Ushveridze, Phys. Lett. A 126 (1987) 181. [21] A.V. Turbiner, Commun. Math. Phys. 118 (1988) 467. [22] X. Hou, M. Shifman, Int. J. Mod. Phys. A 14 (1999) 2993. [23] D. Gómez-Ullate, A. González-López, M.A. Rodríguez, J. Phys. A: Math. Gen. 33 (2000) 7305. [24] E.T. Whittaker, G.N. Watson, A Course in Modern Analysis, 4th edn., Cambridge Univ. Press, 1927. [25] F. Calogero, Lett. Nuovo Cimento 13 (1975) 507. [26] M.A. Shifman, Int. J. Mod. Phys. A 4 (1989) 2897. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 7f260dbe-eebb-4d43-8ba9-d8fbbd5b32fc | |
| relation.isAuthorOfPublication | d781a665-7ef6-44e0-a0da-81f722f1b8ad | |
| relation.isAuthorOfPublication.latestForDiscovery | 7f260dbe-eebb-4d43-8ba9-d8fbbd5b32fc |
Download
Original bundle
1 - 1 of 1
