Equations in dual variables for Whittaker functions

Letters in Mathematical Physics

Volumn 65, Issue 3, 2003, Pages 229-240

  Babelon, O ^a  

^a LPTHE   (France)

Author keywords

Exactly solvable and integrable systems; Quantum algebra

Indexed keywords

EID: 4043067818     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:MATH.0000010714.56215.2a     Document Type: Article

References (14)

1. Babelon, O.: On the quantum inverse problem for the closed Toda chain, hep-th/0304052.
2. Babelon, O., Bernard, D. and Smirnov, F.: Quantization of solitons and the restricted sine-Gordon model, Comm. Math. Phys. 182 (1996), 319-354, hep-th/9603010.
3. Babelon, O. and Talon, M.: Riemann surfaces, separation of variables and classical and quantum integrability, Phys. Lett. A 312 (2003), 71-77, hep-th/0209071.
4. Enriquez, B. and Rubtsov, V.: Commuting families in skew fields and quantization of Beauvillés fibration, math.AG/0112276.
5. Etingof, P., Schiffmann, O. and Varchenko, A.: Traces of intertwiners for quantum groups and difference equations II, math.QA/0207157.
6. Gerasimov, A., Kharchev, S. and Lebedev, D.: Representation theory and quantum inverse scattering method: Open Toda chain and hyperbolic Sutherland model, math.QA/0204206
7. Gutzwiller, M.: The quantum mechanical Toda lattice, Ann. of Phys. 124 (1980), 347-381; Ann. of Phys. 133 (1981), 304-331.
8. Gutzwiller, M.: The quantum mechanical Toda lattice, Ann. of Phys. 124 (1980), 347-381; Ann. of Phys. 133 (1981), 304-331.
9. Kharchev, S. and Lebedev, D.: Integral representations for the eigenfunctions of quantum periodic Toda chain, Lett. Math. Phys. 50 (1999), 53-77, hep-th/9910265.
10. Kharchev, S. and Lebedev, D.: Eigenfunctions of GL(N, R) Toda chain: The Mellin-Barnes representation, JETP Lett. 71 (2000), 235-238, hep-th/0004065.
11. Kostant, B.: The solution to a generalized Toda lattice and representation theory, Adv. Mat. 34 (1979), 195-338.
12. Semeneov-Tian-Shansky, M.: The quantization of the open Toda chains, VINITI 16 (1987), 194-226.
13. Sklyanin, E. K.: The quantum Toda chain, In: Lecture Notes in Phys. 226, Springer, New York, pp. 196-233; Separation of variables, Progr. Theor. Phys. (suppl) 185 (1995), 35.
14. Sklyanin, E. K.: The quantum Toda chain, In: Lecture Notes in Phys. 226, Springer, New York, pp. 196-233; Separation of variables, Progr. Theor. Phys. (suppl) 185 (1995), 35.