Realizations of Affine Weyl Group Symmetries on the Quantum Painlevé Equations by Fractional Calculus

Author:

Nagoya Hajime

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference15 articles.

1. Nagoya H.: Hypergeometric solutions to Schrödinger equations for the quantum Painlevé equations. J. Math. Phys. 52(8), 083509 (2011)

2. Nagoya, H.: A quantization of the sixth Painlevé equation, noncommutativity and singularities. In: Adv. Stud. Pure Math., vol. 55, pp. 291–298. Math. Soc. Japan, Tokyo (2009)

3. Zamolodchikov A.B., Fateev V.A.: Operator algebra and correlation functions in the two-dimensional SU(2) × SU(2) chiral Wess–Zumino model. Sov. J. Nucl. Phys. 43(4), 1031–1044 (1986)

4. Teschner J.: Operator product expansion and factorization in the $${H_3^+}$$ -WZNW model. Nucl. Phys. B 571(3), 555–582 (2000)

5. Giribet G.E.: Note on $${\mathbb{Z}_2}$$ symmetries of the Knizhnik–Zamolodchikov equation. J. Math. Phys. 48(1), 012304 (2007)

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