메뉴 건너뛰기




Volumn 40, Issue 12, 1999, Pages 6339-6352

On the explicit solutions of the elliptic Calogero system

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033249094     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533096     Document Type: Article
Times cited : (21)

References (19)
  • 1
    • 51249187548 scopus 로고
    • Exactly solvable one-dimensional many-body problems
    • F. Calogero, "Exactly solvable one-dimensional many-body problems," Lett. Nuovo Cimento 13, 411-415 (1975).
    • (1975) Lett. Nuovo Cimento , vol.13 , pp. 411-415
    • Calogero, F.1
  • 2
    • 0345860250 scopus 로고
    • Elliptic solutions of the kadomtsev-petviashvili equation and integrable systems of particles
    • I. M. Krichever, "Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles," Funct. Anal. Appl. 14, 282-290 (1980).
    • (1980) Funct. Anal. Appl. , vol.14 , pp. 282-290
    • Krichever, I.M.1
  • 4
    • 0001003959 scopus 로고
    • Completely integrable classical systems connected with semisimple lie algebras
    • A. M. Perelomov, "Completely integrable classical systems connected with semisimple Lie algebras," Lett. Math. Phys. 1, 531-540 (1977).
    • (1977) Lett. Math. Phys. , vol.1 , pp. 531-540
    • Perelomov, A.M.1
  • 5
    • 3242883569 scopus 로고
    • which Jacobi gave at 1842-1843 at Königsberg University; these lectures were edited by Clebsch and published in Berlin, Reimer
    • C. Jacobi, "Vorlesungen über Dynamik," which Jacobi gave at 1842-1843 at Königsberg University; these lectures were edited by Clebsch and published in Berlin, Reimer, 1866.
    • (1866) Vorlesungen über Dynamik
    • Jacobi, C.1
  • 6
    • 0000970971 scopus 로고
    • Note sur les équations de la dynamique
    • J. Liouville, "Note sur les équations de la dynamique," J. Math. Pures Appl. 20, 137-138 (1855).
    • (1855) J. Math. Pures Appl. , vol.20 , pp. 137-138
    • Liouville, J.1
  • 7
    • 30444458560 scopus 로고
    • Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized Calogero model for the classical case
    • M. A. Olshanetsky and A. M. Perelomov, "Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized Calogero model for the classical case," Funct. Anal. Appl. 10, 237-239 (1976).
    • (1976) Funct. Anal. Appl. , vol.10 , pp. 237-239
    • Olshanetsky, M.A.1    Perelomov, A.M.2
  • 8
    • 0009157003 scopus 로고
    • Explicit solutions of some completely integrable hamiltonian systems
    • M. A. Olshanetsky and A. M. Perelomov, "Explicit solutions of some completely integrable Hamiltonian systems," Funct. Anal. Appl. 11, 66-68 (1977).
    • (1977) Funct. Anal. Appl. , vol.11 , pp. 66-68
    • Olshanetsky, M.A.1    Perelomov, A.M.2
  • 9
    • 0001776613 scopus 로고
    • Rational solutions of the kadomtsev-petviashvili equation and integrable systems of n particles on line
    • I. M. Krichever, "Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of n particles on line," Funct. Anal. Appl. 12, 59-61 (1978).
    • (1978) Funct. Anal. Appl. , vol.12 , pp. 59-61
    • Krichever, I.M.1
  • 10
    • 34250524249 scopus 로고
    • ten ranges auf elliptische integrale
    • ten Ranges auf elliptische Integrale," Acta Math. 4, 392-414 (1884).
    • (1884) Acta Math. , vol.4 , pp. 392-414
    • Kowalevski, S.1
  • 11
    • 0009291174 scopus 로고
    • Sur la réduction des intégrales abéliennes
    • H. Poincaré, "Sur la réduction des intégrales abéliennes," Bull. Soc. Math. France 12, 124-143 (1884).
    • (1884) Bull. Soc. Math. France , vol.12 , pp. 124-143
    • Poincaré, H.1
  • 12
    • 0009236840 scopus 로고
    • Sur les fonctions abéliennes
    • H. Poincaré, "Sur les fonctions abéliennes," Am. J. Math. 8, 289-342 (1886).
    • (1886) Am. J. Math. , vol.8 , pp. 289-342
    • Poincaré, H.1
  • 14
    • 84928007477 scopus 로고
    • Theta functions and nonlinear equations
    • B. A. Dubrovin, "Theta functions and nonlinear equations," Russian Math. Surveys 36, 11-80 (1981).
    • (1981) Russian Math. Surveys , vol.36 , pp. 11-80
    • Dubrovin, B.A.1
  • 19
    • 0003177187 scopus 로고
    • The equations defining abelian varieties and modular forms
    • S. Koizumi, "The equations defining Abelian varieties and modular forms," Math. Ann. 242, 127-145 (1976).
    • (1976) Math. Ann. , vol.242 , pp. 127-145
    • Koizumi, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.