QUANTUM PAINLEVÉ SYSTEMS OF TYPE $A_{n-1}^{(1)}$ WITH HIGHER DEGREE LAX OPERATORS
From MaRDI portal
Publication:5295434
DOI10.1142/S0129167X07004321zbMath1123.34070MaRDI QIDQ5295434
Publication date: 30 July 2007
Published in: International Journal of Mathematics (Search for Journal in Brave)
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) General quantum mechanics and problems of quantization (81S99) Difference equations (39A99) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items
Realizations of affine Weyl group symmetries on the quantum Painlevé equations by fractional calculus ⋮ Quantum Painlevé equations: from continuous to discrete and back
Cites Work
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
- Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
- Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
- The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem
- Affine Weyl groups, discrete dynamical systems and Painlevé equations
- Dressing chains and the spectral theory of the Schrödinger operator
- Nonlinear chains and Painlevé equations
- Differential equations compatible with KZ equations
- Generalized Knizhnik–Zamolodchikov equations and isomonodromy quantization of the equations integrable via the Inverse Scattering Transform: Maxwell–Bloch system with pumping
- Symmetries in the fourth Painlevé equation and Okamoto polynomials
- A study on the fourthq-Painlevé equation
- QUANTUM PAINLEVÉ SYSTEMS OF TYPE $A_l^{(1)}$
This page was built for publication: QUANTUM PAINLEVÉ SYSTEMS OF TYPE $A_{n-1}^{(1)}$ WITH HIGHER DEGREE LAX OPERATORS