Integrable multi-boson systems and orthogonal polynomials

Journal of Physics A: Mathematical and General

Volumn 34, Issue 20, 2001, Pages 4353-4376

  Odzijewicz, Anatol ^a   Horowski, Maciej ^a   Tereszkiewicz, Agnieszka ^a  

^a UNIVERSITY OF BIALYSTOK   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000976038     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/20/308     Document Type: Article

References (16)

1. Ahiezer N I 1965 The Classical Moment Problem (New York: Hafner)
2. Ahiezer N I and Glazman I M 1966 Theory of Linear Operators in Hilbert Space (Moscow: Nauka) (in Russian)
3. Andreev V A and Ivanova O A 1992 The dynamics of three-boson interaction and algebraic Bethe ansatz Phys. Lett. A 171 145-50
4. Chihara T S 1978 An Introduction to Orthogonal Polynomials (New York: Gordon and Breach)
5. Gasper G and Rahman M 1990 Basic Hypergeometric Series (Cambridge: Cambridge University Press) p 35
6. Hahn W 1949 Über orthogonalpolynome die q-differenzengleichungen genügen Math. Nachr. 2 4-34
7. Jurčo B 1989 Classical Yang-Baxter equations and quantum integrable systems J. Math. Phys. 30
8. Jurčo B 1989 On quantum integrable models releted to nonlinear quantum optics. An algebraic Bethe ansatz approach J. Math. Phys. 30
9. Karassiov V P 1997 Polynomial Lie algebras and associated pseudogroup structures in composite quantum models Rep. Math. Phys. 40
10. Karassiov V P 1998 sl(2) variational schems for solving one class of nonlinear quantum models Phys. Lett. A 238 19-28
11. Koekoek R and Swarttouw R F 1998 The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue Report no. 98-17, TUDelft webpage http://aw.twi.tudelft.nl/ koekoek/askey.html
12. Mollow B R and Glauber R J 1991 Quantum Theory of Parametric Amplification in Nonclassical Effects in Quantum Optics (New York: AIP)
13. Odzijewicz A 1998 Quantum algebras and q-special functins related to coherent states maps of the disc Commun. Math. Phys. 192 183-215
14. Reed M and Simon B 1972 Methods of Modern Mathematical Physics (New York: Academic)
15. Stone M 1963 Linear Transformations in Hilbert Space and their Applications to Analysis (New York: Academic)
16. Sujetin I K 1979 Classical Orthogonal Polynomials (Moscow: Nauka) (in Russian)