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Volumn 50, Issue 1, 1999, Pages 53-77

Integral representation for the eigenfunctions of a quantum periodic Toda chain

Author keywords

Baxter equation; Quantum integrable systems; Whittaker functions

Indexed keywords


EID: 0010230966     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007679024609     Document Type: Article
Times cited : (70)

References (12)
  • 1
    • 0032491339 scopus 로고    scopus 로고
    • Structure of matrix elements in quantum Toda chain
    • Smirnov, F.: Structure of matrix elements in quantum Toda chain, J. Phys. A: Math. Gen. 31 (1998), 8953-8971.
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 8953-8971
    • Smirnov, F.1
  • 2
    • 0000315646 scopus 로고
    • The quantum Toda chain
    • Springer, New York
    • Sklyanin, E.: The quantum Toda chain, In: Lecture Notes in Phys. 226, Springer, New York, 1985, pp. 196-233.
    • (1985) Lecture Notes in Phys. , vol.226 , pp. 196-233
    • Sklyanin, E.1
  • 3
    • 0001268228 scopus 로고
    • The quantum mechanical Toda lattice II
    • Gutzwiller, M.: The quantum mechanical Toda lattice II, Ann. of Phys. 133 (1981), 304-331.
    • (1981) Ann. of Phys. , vol.133 , pp. 304-331
    • Gutzwiller, M.1
  • 4
    • 0001416265 scopus 로고
    • Fonctions de Whittaker associées aux groupes de Chevalley
    • Jacquet, H.: Fonctions de Whittaker associées aux groupes de Chevalley, Bull. Soc. Math. France 95 (1967), 243-309.
    • (1967) Bull. Soc. Math. France , vol.95 , pp. 243-309
    • Jacquet, H.1
  • 5
    • 0000361619 scopus 로고
    • Intégrales d'entrelacement et fonctions de Whittaker
    • Schiffmann, G.: Intégrales d'entrelacement et fonctions de Whittaker, Bull. Soc. Math. France 99 (1971), 3-72.
    • (1971) Bull. Soc. Math. France , vol.99 , pp. 3-72
    • Schiffmann, G.1
  • 6
    • 1842794991 scopus 로고
    • Whittaker models for real reductive groups
    • Hashizume, M.: Whittaker models for real reductive groups, J. Math. Soc. Japan 5 (1979), 394-401; Whittaker functions on semisimple Lie groups, Hiroshima Math. J. 12 (1982), 259-293.
    • (1979) J. Math. Soc. Japan , vol.5 , pp. 394-401
    • Hashizume, M.1
  • 7
    • 84972502525 scopus 로고
    • Whittaker functions on semisimple Lie groups
    • Hashizume, M.: Whittaker models for real reductive groups, J. Math. Soc. Japan 5 (1979), 394-401; Whittaker functions on semisimple Lie groups, Hiroshima Math. J. 12 (1982), 259-293.
    • (1982) Hiroshima Math. J. , vol.12 , pp. 259-293
  • 8
    • 0001043985 scopus 로고
    • Quantization and representation theory
    • Representation Theory of Lie Groups, Oxford 1977, London Math. Soc. Lecture Notes 34, Cambridge Univ. Press
    • Kostant, B.: Quantization and representation theory, In: Representation Theory of Lie Groups, Proc. SRC/LMS Research Sympos., Oxford 1977, London Math. Soc. Lecture Notes 34, Cambridge Univ. Press, 1977, pp. 287-316.
    • (1977) Proc. SRC/LMS Research Sympos. , pp. 287-316
    • Kostant, B.1
  • 9
    • 0039959751 scopus 로고
    • Preprint LOMI R-3-84. Leningrad
    • Semenov-Tian-Shansky, M.: Quantum Toda lattices. Spectral theory and scattering, Preprint LOMI R-3-84. Leningrad, 1984; Quantization of open Toda lattices, In: Encyclopaedia of Mathematical Sciences, vol. 16. Dynamical Systems VII. Ch. 3, Springer, Berlin, 1994, pp. 226-259.
    • (1984) Quantum Toda Lattices. Spectral Theory and Scattering
    • Semenov-Tian-Shansky, M.1
  • 10
    • 0039824313 scopus 로고
    • Quantization of open Toda lattices
    • Springer, Berlin
    • Semenov-Tian-Shansky, M.: Quantum Toda lattices. Spectral theory and scattering, Preprint LOMI R-3-84. Leningrad, 1984; Quantization of open Toda lattices, In: Encyclopaedia of Mathematical Sciences, vol. 16. Dynamical Systems VII. Ch. 3, Springer, Berlin, 1994, pp. 226-259.
    • (1994) Encyclopaedia of Mathematical Sciences, Vol. 16. Dynamical Systems VII. Ch. 3 , vol.16 , pp. 226-259
  • 11
    • 33645677331 scopus 로고
    • The periodic Toda chain and a matrix generalization of the Bessel function recursion relations
    • Pasquier, V. and Gaudin, M.: The periodic Toda chain and a matrix generalization of the Bessel function recursion relations, J. Phys. A 25 (1992) 5243-5252.
    • (1992) J. Phys. A , vol.25 , pp. 5243-5252
    • Pasquier, V.1    Gaudin, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.