Reflectionless analytic difference operators (AΔOs): Examples, open questions and conjectures

Journal of Nonlinear Mathematical Physics

Volumn 8, Issue SUPPL., 2001, Pages 240-248

  Ruijsenaars, S N M ^a  

^a CWI   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007022104     PISSN: 14029251     EISSN: None     Source Type: Journal    
DOI: 10.2991/jnmp.2001.8.s.42     Document Type: Conference Paper

References (10)

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3. Calogero F and Degasperis A, Spectral Transform and Solitons, Vol. I, North-Holland, Amsterdam, 1982.
4. Faddeev L D and Takhtajan L A, Hamiltonian Methods in the Theory of Solitons, Springer, Berlin, 1987.
5. Bargmann V, On the Connection Between Phase Shifts and Scattering Potentials, Rev. Mod. Phys., 1949, V.21, 488-493.
6. Ruijsenaars S N M, Systems of Calogero-Moser Type, in Proceedings of the 1994 Banff Summer School Particles and Fields, CRMSeries in Mathematical Physics, Editors G Semenoff and L Vinet, Springer, New York, 1999, 251-352.
7. Ruijsenaars S N M, Hilbert Space Theory for Reflectionless Relativistic Potentials (to appear in Publ. RIMS, Kyoto Univ.).
8. Ruijsenaars S N M, Generalized Lamé Functions. II. Hyperbolic and Trigonometric Specializations, J. Math. Phys., 1999, V.40, 1595-1626.
9. Ruijsenaars S N M, Relativistic Lamé Functions: The Special Case g = 2, J. Phys. A: Math. Gen., 1999, V.32, 1737-1772.
10. Ruijsenaars S N M, A Generalized Hypergeometric Function Satisfying Four Analytic Difference Equations of Askey-Wilson Type, Comm. Math. Phys., 1999, V.206, 639-690.