Generalized Knizhnik–Zamolodchikov equations and isomonodromy quantization of the equations integrable via the Inverse Scattering Transform: Maxwell–Bloch system with pumping

DOI10.1063/1.532404zbMath1042.81584OpenAlexW2059962126MaRDI QIDQ4260494

Hrachya M. Babujian, Alexander V. Kitaev

Publication date: 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532404

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Quantum optics (81V80) Inverse scattering problems in quantum theory (81U40) Applications of hypergeometric functions (33C90) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items

QUANTUM PAINLEVÉ SYSTEMS OF TYPE $A_{n-1}^{(1)}$ WITH HIGHER DEGREE LAX OPERATORS ⋮ Isomonodromic deformations: confluence, reduction and quantisation ⋮ Homological and monodromy representations of framed braid groups ⋮ QUANTUM PAINLEVÉ SYSTEMS OF TYPE $A_l^{(1)}$ ⋮ Creation operators and Bethe vectors of the osp(1|2) Gaudin model ⋮ Quantization of simply-laced isomonodromy systems by the quantum spectral curve method ⋮ Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations

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